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We report on determining the optical constants of Ta in the sub-extreme ultraviolet (EUV) spectral range 5.0–24.0 nm from the angle-dependent reflectance (ADR) measured using monochromatized synchrotron radiation. Two sputtered samples with differing thicknesses were investigated. Complementarily x-ray reflectance was measured at shorter wavelengths and evaluated by Fourier transform to facilitate an unambiguous selection of a model for the data evaluation based on an inverse solution of the Fresnel’s equations for a layered system. Bayesian inferences coupled with a Nested Sampling (NS) algorithm were utilized to derive the optical constants with their corresponding uncertainties. This report further emphasizes the applicability of an acclaimed NS algorithm on a high-dimensional inverse problem. We explore the possibility of addressing the correlations between the optical constants of thin films and their structural parameters based on other established studies.

We present an experimental study in which we compare two different pump–probe setups to generate and detect high-frequency laser-induced ultrasound for the detection of gratings buried underneath optically opaque metal layers. One system is built around a high-fluence, low-repetition-rate femtosecond laser (1 kHz) and the other around a low-fluence, high-repetition-rate femtosecond laser (5.1 MHz). We find that the signal diffracted by the acoustic replica of the grating as a function of pump–probe time delay is very different for the two setups used. We attribute this difference to the presence of a constant background field due to optical scattering by interface roughness. In the low-fluence setup, the optical field diffracted by the acoustic replica is significantly weaker than the background optical field, with which it can destructively or constructively interfere. For the right phase difference between the optical fields, this can lead to a significant “amplification” of the weak field diffracted off the grating-shaped acoustic waves. For the high-fluence system, the situation is reversed because the field diffracted off the acoustic-wave-induced grating is significantly larger than the background optical field. Our measurements show that optical scattering by interface roughness must be taken into account to properly explain experiments on laser-induced ultrasound performed with high-repetition-rate laser systems and can be used to enhance signal strength.

The dark-field defect inspection system occupies 70% of the market in the field of unpatterned wafer inspection. But the detection limit is still restrained by the haze signals. Signal-to-noise ratio (SNR) enhancement could effectively decrease the detection limit by decreasing the influence of the haze signals on the defect signals. The existing method of optimizing the inspection conditions, including beam path and collection channel, can enhance the SNR, but the effect is restrained by the system structure. The empirically designed aperture has been attempted to be used by blocking the scattering signals in a certain azimuth angle range. However, the performance is restrained, as a signal with a large SNR exists in the blocked scattering signals. In this paper, we propose a novel (we believe) aperture design method in the light of scattering field analysis to reduce the influence of the haze signals caused by the wafer surface roughness on the particle signals. On the basis of the bidirectional reflectance distribution function, apertures are designed according to the ratio field of the particle signal to haze and verified by the scattering model developed based on the tools of the National Institute of Standards and Technology. Additionally, incident conditions are optimized according to their influence on the SNR. It is noteworthy that the aperture designed under specific conditions cannot be used for all particles. Three aperture combination schemes are proposed in this paper, which can ensure the scattering characteristics such as intensity and sensitivity to meet the system requirements while improving the contrast. Simulation results verify that the detection limit decreases from 48 to 22 nm by introducing a well-designed aperture, with the case of p -polarized incident light when the threshold is 3 and the incident angle is 72°. Multiaperture schemes have better performance over others, especially the one-to-one scheme.

Monitoring the particulate composition changes during the flocculation process is still challenging for the research community. We use an experimental setup based on polarized light scattering to measure the polarization states of the scattered light of the individual particles. We build a classifier based on the support vector machine and feed it with the measured parameters. Results show that the classifier can effectively classify the particulate compositions, such as the sediment particles, flocculants, and flocs, which can be used to monitor the particulate composition changes during the flocculation process. Discussions on the intensity and polarization parameters find that the polarization parameters play a vital role in the classification of the particulate compositions in the flocculation suspensions. Additionally, the further analysis of the experimental data and the related simulations show that the degree of polarization can be an indicator of the flocculation process. We prove that the method based on polarized light scattering may be a potential in situ monitoring tool in the future for the study of the flocculation process.

One shortcoming of digital in-line holography (DIH) is the low axial position accuracy due to the elongated particle traces in the reconstruction field. Here, we propose a method that improves the axial localization of DIH when applying it to track the motion of weak phase particles in dense suspensions. The proposed method detects particle positions based on local intensities in the reconstruction field consisting of scattering and incident waves. We perform both numerical and experimental tests and demonstrate that the proposed method has a higher axial position accuracy than the previous method based on the local intensities in the reconstructed scattered field. We show that the proposed method has an axial position error below 1.5 particle diameters for holograms with a particle concentration of 4700 p a r t i c l e s / m m 3 . The proposed method is further validated by tracking the Brownian motion of 1 µ m p a r t i c l e s in dense suspensions.

The progression of secondary waves emanating from scattering centers within a non-absorbing material in the visible part of the electromagnetic spectrum (wavelength 0.500 µm) is traced using two modeling schemes: the scattering order formulation (SOF) of the discrete dipole approximation (the original SOF) and the SOF with the Twersky approximation, according to which the path of the secondary waves in a successive scattering chain does not loop through the same scattering center more than once (the SOF-Twersky). It is shown that for smaller submicron-sized scatterers (radius 0.100–0.200 µm), the scattering phase function in the backscattering hemisphere converges after a small number of orders of scattering, as does the scattering phase function in the forward scattering hemisphere. For larger submicron-sized to micron-sized scatterers (radius 0.300–0.500 µm), however, the scattering phase function in the backscattering hemisphere deviates significantly from the correct scattering phase function for a small number of orders of scattering, even as the scattering phase function in the forward scattering hemisphere remains at reasonable values. These results point to the particular importance of higher orders of scattering in reducing backscattering by particles composed of non-absorbing materials. Likewise, the results imply that a possible source for the lack of convergence in the original SOF lies in a certain lack of destructive interference of secondary waves propagating in particular into the backscattering hemisphere. The extent to which “downward recursion” can ameliorate this lack of destructive interference of secondary waves propagating into the backscattering hemisphere within the SOF is also examined. In the SOF with downward recursion, looping of secondary scattered waves is allowed, unlike the other versions of the SOF; however, the scattering centers situated the largest distance from one another within a given scatterer interact with one another first, and the interactions proceed to smaller and smaller scattering center separations.

The change of the spatial coherence-polarization (CP) property of a speckle pattern due to the modulation of birefringence in a scattering medium is investigated experimentally. The birefringence is introduced to the scattering medium by attaching layers of overhead projector (OHP) sheets to it. It is shown that the spatial polarization distribution can be tuned from a uniformly polarized case to a randomly polarized case by increasing the number of OHP sheets. The change of the spatial CP property with the number of OHP sheets is investigated from the study of the spatial degree of coherence and the degree of polarization, and these variations are further confirmed from the probability density function of the intensity of the speckle pattern and from the measurement of the generalized Stokes parameters. The effect of the change of the number of OHP sheets on the visibility of the intensity correlation function and the quality of the object retrieved through the scattering medium are also investigated.

Morphology-dependent resonances (MDRs) for a coated spherical particle are important because of their extensive applications. However, MDRs for coated spherical particles are more complicated than those for homogeneous particles. In this paper, a general expression is proposed for calculating the scattering efficiency of a specific layer of coated particle. Reformulations of internal scattering efficiency are made, which provides a new, to the best of our knowledge, method to investigate the resonance in the core and in the shell independently. MDRs in the core can be shown in four cases on the outmost scattering efficiency curve. To investigate the reason of the resonance, the relationships between MDRs in the core, outmost scattering efficiency, and partial wave are analyzed. It is numerically shown that the expressions are reliable and efficient, which provides a theoretical fundamental for studying of resonances of multilayered particles and for measurement.

Optical diagnostics of gas-phase pressure are relatively unusual. In this work, we demonstrate a novel, rapid, and robust method to use laser-induced grating scattering (LIGS) to derive this property in real time. Previous pressure measurements with LIGS have employed a signal fitting method, but this is relatively time-consuming and requires specialist understanding. In this paper, we directly measure a decay lifetime from a LIGS signal and then employ a calibration surface constructed using a physics-based model to convert this value to pressure. This method was applied to an optically accessible single-cylinder internal combustion engine, yielding an accuracy of better than 10% at all tested conditions above atmospheric pressure. This new approach complements the existing strength of LIGS in precisely and accurately deriving temperature with a simple analysis method, by adding pressure information with a similarly simple method.

Liquid thermometry during primary and secondary breakup of liquid sprays is challenging due to the presence of highly dynamic, optically complex flow features. This work evaluates the use of x-ray scattering from a focused, monochromatic beam of the Advanced Photon Source at Argonne National Laboratory for the measurement of liquid temperatures within the mixing zone of an impinging jet spray. The measured scattering profiles are converted to temperature through a previously developed two-component partial least squares (PLS) regression model. Transmitive mixing during jet merging is inferred through spatial mapping of temperatures within the impingement region. The technique exhibits uncertainties of ± 2 K in temperature and 2% in capturing the correct scattering profile, showing its potential utility for probing liquid temperature distributions in multiphase flows.

The toroidal dipole (TD) plays an important role in light–matter interactions. In this paper, a lattice-perturbed dielectric nanohole array structure has been put forward to excite dominant TD Fano resonances in the near-infrared region. Herein, the numerical investigations and experimental demonstrations have been performed to characterize the TD Fano resonances with a series of lattice perturbations. The scattering power of TD and quality ( Q )-factor of the resonance can be tailored by tuning perturbation. By using the lattice perturbation of 53 nm, the highest experimental Q -factor of 584 is obtained.

In this paper, we propose a single-shot three-dimensional imaging technique. This is achieved by simply placing a normal thin scattering layer in front of a two-dimensional image sensor, making it a light-field-like camera. The working principle of the proposed technique is based on the statistical independence and spatial ergodicity of the speckle produced by the scattering layer. Thus, the local point responses of the scattering layer should be measured in advance and are used for image reconstruction. We demonstrate the proposed method with proof-of-concept experiments and analyze the factors that affect its performance.

In this paper, we investigate the backscattering depolarization of linearly and circularly polarized laser sources propagating in dense water fogs. We limit our investigation to a simple case where an active LiDAR system is pointed toward a white depolarizing Lambertian solid target. The receiver captures the reflected signal in the orthogonal channel so as to remove most of the backscattering from the water fog. It is shown that in the studied cases, a circularly polarized signal is depolarized faster than a linearly polarized signal and thus produces less contrast. We show that in the cases that can be described by the small angle approximation, the Rubenson degree of polarization (DoP) of a circularly polarized beam can be predicted by the DoP of a linearly polarized beam as DoP cir = 2 DoP lin − 1 , even for low-order multiple scattering events. In these conditions, since the linear DoP is always stronger, the contrast is expected to be better in linear polarization for ideal depolarizing targets.

The asymmetry parameter is an important quantity used in radiative transfer modeling and scattering. This parameter specifies the amount of energy scattered by the particle along the direction of the incident illuminating field. However, a rigorous and complete analysis of the energetic scattering requires determining the energy scattered in the lateral direction as well. As such, the present work introduces generalized expressions for the scattering asymmetry parameters for a dielectric cylinder in arbitrary-shaped light-sheets, both along and perpendicular to the direction of the incident radiation. Both longitudinal and transverse scattering asymmetry parameters are defined, and their generalized expressions are obtained based on the (spatial) average cosine and sine of the scattering angle θ and the expression of the scattering cross section (or energy efficiency). The partial-wave series expansion method in cylindrical coordinates is used, and the resulting mathematical expressions depend on the beam-shaped coefficients and the scattering coefficients of the dielectric cylinder. Numerical results for arbitrary-shaped light-sheets illuminating a dielectric cylinder cross section located arbitrarily in space are presented and discussed. The longitudinal and transverse scattering asymmetry parameters defined here offer additional quantitative (quadratic) observables for the analysis of the energetic scattering in applications in electromagnetic scattering, optical light-sheet tweezers, radiative transfer computations, and remote sensing, to name a few examples.

Altering wavelength via fluorescent particles is used in various applications. The solution of the broadband radiative transfer equation (RTE) for absorbing and anisotropically scattering a fluorescent medium is presented in this study considering fluorescent cascade, along with a Monte-Carlo-method-based solution of the equation. The path-length-based Monte Carlo method, the dual-stage method, and its modified version, the multi-stage method, which are used for solving the RTE in a fluorescent medium for biomedical and lighting applications, are not capable of accurately solving the broadband RTE with fluorescent cascade. Therefore, a collision-based Monte Carlo method is applied to overcome the limitations of these approaches. An accuracy comparison with the alternative methods is presented along with the flow chart and codes of the proposed method.

We present a method for single-shot spectrally resolved imaging through scattering media by using the spectral memory effect of speckles. In our method, a single speckle pattern from a multi-colored object is captured through scattering media with a monochrome image sensor. The color object is recovered by correlation of the captured speckle and a three-dimensional phase retrieval process. The proposed method was experimentally demonstrated by using point sources with different emission spectra located between diffusers. This study paves the way for non-invasive and low-cost spectral imaging through scattering media.

Coherent light propagation and scattering in diffuse media realize an interference effect that manifests as a random spatial distribution of bright and dark spots called speckle. Laser speckle contrast is a crucial parameter that quantifies light behavior in diffuse media, often of help in biomedical imaging applications. With several ultra-intense lasers coming onto the scene in recent years, the probability of nonlinearly generating harmonic light has considerably increased. To our knowledge, there are no studies on the simultaneous measurement of local speckle contrast (LSC) at fundamental and harmonic wavelengths. In this work, we experimentally characterize the intensity-dependent global and local speckle contrast at λ = 1064 n m (IR) and λ = 532 n m [second-harmonic generation (SHG)] in a diffuse sample made of potassium dihydrogen phosphate. Under pulsed excitation with IR light, second-harmonic light is generated and undergoes scattering, leading to speckle at both wavelengths. The radiation pressure on the sample induces displacement of the particles of the medium, which leads to the temporal averaging and hence reduction in speckle contrast of IR. The decrease in speckle contrast with input power is consistent with the theoretically predicted behavior. Next, the probability distribution of LSC for IR and SHG are observed to follow log-normal distributions with distinctive parameters, measured for co-polarized and counter-polarized channels. Parameter evolution with box-size is fit to the established global model for speckle contrast and also another alternative model. The fit parameters, illustrated as a function of input power, indicate possibilities of widening the global model to second-harmonic light.

We present a new method to calculate the complex refractive index of spherical scatterers in a novel optical phantom developed by using homemade monodisperse silica nanospheres embedded into a polyester resin matrix and an ethanol–water mixture for applications in diffuse imaging. The spherical geometry of these nanoparticles makes them suitable for direct comparison between the values of the absorption and reduced scattering coefficients ( μ a and μ s ′ , respectively) obtained by the diffusion approximation solution to the transport equation from scattering measurements and those obtained by the Mie solution to Maxwell’s equations. The values of the optical properties can be obtained by measuring, using an ultrafast detector, the time-resolved intensity distribution profiles of diffuse light transmitted through a thick slab of the silica nanosphere phantom, and by fitting them to the time-dependent diffusion approximation solution to the transport equation. These values can also be obtained by Mie solutions for spherical particles when their physical properties and size are known. By using scanning electron microscopy, we measured the size of these nanospheres, and the numerical results of μ a and μ s ′ can then be inferred by calculating the absorption and scattering efficiencies. Then we propose a numerical interval for the imaginary part of the complex refractive index of S i O 2 nanospheres, n s , which is estimated by fixing the fitted values of μ a and μ s ′ , using the known value of the real part of n s , and finding the corresponding value of I m ( n s ) that matches the optical parameters obtained by both methods finding values close to those reported for silica glass. This opens the possibility of producing optical phantoms with scattering and absorption properties that can be predicted and designed from precise knowledge of the physical characteristics of their constituents from a microscopic point of view.

The frequency characteristics of spherical photon density waves excited in media with different degrees of scattering anisotropy are studied. Statistical modeling of the frequency and phase responses of the spatial irradiance of the light field emitted by a point-sized isotropic source were performed employing the Monte Carlo technique. The scattering anisotropy of the medium was determined by the Henyey–Greenstein phase function with different values of the mean scattering cosine. It is shown that the scattering anisotropy factor determines the frequency range, in which the effect of the photon path length distribution on the magnitude of the photon density wave dispersion is maximal. In media with quasi-isotropic scattering, dispersion effects are manifested at lower frequencies as compared to those for anisotropic media. The simulation results are compared with the analytical solution for the asymptotic regime of the light field in an isotropically scattering medium.

In this paper, we employ an interference model of two separated electric dipoles to study the color-dependent unidirectional scattering of a plasmonic heterodimer consisting of a pair of gold and silver disks of the same size. The dipole moments in such a dipole-dipole interference model are numerically obtained by a multipole decomposition method. It shows that the power difference between the different scattering directions predicted by the dipole-dipole interference model agrees well with that calculated by the full wave simulation. The dipole-dipole interference model indicates that the scattering directionality of the heterodimer is intimately related to its geometrical parameters, including the height and radius of the disk as well as the distance between two disks. We further show that the color routing of such a heterodimer is also maintained when an electric or magnetic dipole source is positioned in the center of the heterodimer. Finally, we propose an approach to enhance bidirectional scattering by arranging the heterodimer in a line and then the main lobe beamwidth can be reduced to about 26 deg for the right scattering and 29 deg for the left scattering. Our results may be used in designing integrated plasmonic nanocircuits that demand light guiding and routing in nanoscale.

The paper discusses photoinduced microrelief formation in a film of an azopolymer. A theoretical study of the effect of laser beam polarization on the balance of optical forces acting under the direct action of paraxial Gaussian beams on the irradiated substance was made. We show that taking into account the gradient and scattering components of the force does not allow us to correctly describe the shape of the microasperities obtained on a carbazole-containing azopolymer. An approximation function is presented that describes the dependence of the microasperities’ shapes on the non-gradient component of the optical force of laser radiation in the absence and presence of a vortex phase. A comparative analysis of the approximation results and experimentally obtained microreliefs was carried out.

Using a Monte Carlo algorithm to simulate the scattering of sunlight in an atmosphere–ocean system, the degree of circular polarization of light in the ocean has been calculated at multiple depths and directions. In this system circularly polarized light is produced by the reflection of light from beneath the surface at an incident angle greater than the critical angle. We present the results of these simulations for different solar angles, wavelengths of light, and models that include the presence of aerosols in the atmosphere and hydrosols in the water.

Polarized light scattering measurements have the potential to provide improved characterization of natural particle assemblages in terms of particle size and composition. However, few studies have investigated this possibility for natural assemblages of marine particles. In this study, seawater samples representing contrasting assemblages of particles from coastal environments have been comprehensively characterized with measurements of angle-resolved polarized light scattering, particle size distribution, and particle composition. We observed robust trends linking samples containing higher proportions of large-sized particles with lower values of the maximum degree of linear polarization and the second element of the scattering matrix at a scattering angle of 100°, p 22 ( 100 ∘ ) . In contrast, lower values of p 22 ( 20 ∘ ) were found in more non-phytoplankton—or inorganic--dominated samples. We also determined that three measurements involving the combinations of linearly polarized incident and scattered beams at two scattering angles (110° and 18°) have the potential to serve as useful proxies for estimating particle size and composition parameters.

For underwater optical wireless communication (UOWC), the influence of waves close to the water’s surface cannot be ignored. We build an experimental system of UOWC in a laboratory environment, where two fans are employed to produce water waves to simulate the turbulent water surface. The propagation and scattering of the input light are experimentally investigated, which shows that the scattering depends on the intensity of the water surface wave as well as the depth of its turbulence. Although at the receiver the laser spots are random and chaotic, their centroid drifts present spatial dependence, which is then investigated from the statistical point of view. Such characteristics may provide guidance to the optimization of receiving, tracking, and aiming devices.

Time-resolved Mueller matrix (MM) imaging polarimetry in transmission mode has been implemented in both epithelium and stromal regions of cervical tissues to explore the various polarization dynamics in connection with the diagnosis of cervical precancer. The picosecond-resolved intensity patterns of various MM elements, resulting from the various orders of scattering, at different time delays provide clear demarcation between the epithelium and stroma of cervical tissue. The time dependent depolarization and retardance maps are seen to differentiate the epithelium from stroma. The average values of time dependent linear, linear-45, and circular depolarization and linear, circular, and scalar retardance parameters in different regimes of scattering from the optically anisotropic stromal region identify the pre-malignancy in cervical tissue. As the disease evolves, time dependent linear depolarization varies to larger values as compared to time dependent circular depolarization. Interestingly, the chirality of the collagen network that rotates the plane of polarized light in either direction in normal samples is limited to only the clockwise direction during the progression of the disease. These results show potential in the early detection and understanding of the mechanisms of morphological changes in cervical cancer development.

In this paper, we analyze the speckle patterns generated by the scattering of optical vortex on different roughness surfaces, compared with those produced by Gaussian light, where the roughness is emulated by a spatial light modulator and adjustable. The scheme and experiments demonstrate an improvement with the vortex beam, especially for slight roughness measurements. In addition, since the topological charge used to produce speckle patterns has a great influence on the speckle size and can be optimized to adjust it for different object measurements, we also investigate how the roughness depends on the topological charge.

We investigate a systematic improvement for 3D range-gated imaging in scattering environments. Drawbacks including absorption, ambient light, and scattering effect are studied. The former two are compensated through parameter estimation and preprocessing. With regard to the scattering effect, we propose a new 3D reconfiguration algorithm using a Bayesian approach that incorporates spatial constraints through a general Gaussian Markov random field. The model takes both scene depth and albedo into account, which provides a more informative and accurate restoration result. Hyper-parameters for the statistical mechanism are evaluated adaptively in the procedure and an iterated conditional mode optimization algorithm is employed to find an optimum solution. The performance of our method was assessed via conducting various experiments and the results also indicate that the proposed method is helpful for restoring the 2D image of a scene with improved visibility.

The influence of the initial polarization state of a source on the detection range of a system probing through natural dense water fog is analyzed. Information about the source is conveyed by ballistic, snake, and highly scattered photons. During propagation, the polarization state of ballistic and snake photons is not altered. It is shown that though circular polarization is not altered by simple direction changes during scattering, and has thus a tendency to be preserved longer in the highly scattered photons, it does not necessarily convey more useful information about the source than linear polarization or even an unpolarized beam. It is also shown that in any forward propagating system that can be described by the small-angle approximation the impact of polarization memory can be neglected.

Rigorous solution of plane-wave scattering by a groove based on electromagnetic theory will be time-consuming if the groove width is much larger than the illumination wavelength. To accelerate the computation, an approach based on geometrical optics approximation is developed here. The incident beam is split into several parts during reflection and refraction. Contribution of every part is superposed to obtain the electric field at the interface between the groove and air, with which diffraction theory is utilized to calculate the far-field scattered light. Results demonstrate that the approach is capable of accurately calculating plane-wave scattering by rectangular grooves with large widths in a time-efficient manner, which can be beneficial for further inverse scattering problems.

Optical proxies based on light scattering measurements have potential to improve the study and monitoring of aquatic environments. In this study, we evaluated several optical proxies for characterization of particle mass concentration, composition, and size distribution of suspended particulate matter from two contrasting coastal marine environments. We expanded upon our previous study of Southern California coastal waters, which generally contained high proportions of organic particles, by conducting angle-resolved polarized light scattering measurements in predominantly turbid and inorganic-particle dominated Arctic coastal waters near Prudhoe Bay, Alaska. We observed that the particulate backscattering coefficient b bp was the most effective proxy for the mass concentration of suspended particulate matter (SPM) when compared with particulate scattering and attenuation coefficients b p and c p . Improvements were seen with b bp as a proxy for the concentration of particulate organic carbon (POC), although only if particulate assemblages were previously classified in terms of particle composition. We found that the ratio of polarized-light scattering measurements at 110º and 18º was superior in performance as a proxy for the composition parameter POC/SPM in comparison to the particulate backscattering ratio b bp / b p . The maximum value of the degree of linear polarization D o L P p , m a x observed within the range of scattering angles 89°–106° was found to provide a reasonably good proxy for a particle size parameter (i.e., 90th percentile of particle volume distribution) which characterizes the proportions of small- and large-sized particles. These findings can inform the development of polarized light scattering sensors to enhance the capabilities of autonomous platforms.

In this study, we examine the single-scattering properties of aggregates of nano-sized spherical scattering centers (spherules) of different sizes and refractive indices, with an emphasis on contrasting the single-scattering properties of ordered and disordered aggregates, holding all other parameters constant. The ordered aggregates are constructed by arranging the spherules in a simple cubic configuration, while the disordered aggregates are constructed using an ideal amorphous solid algorithm. The single-scattering properties of both kinds of aggregates are computed using the superposition T -matrix method. We find that, in most cases, the scattering and absorption and hence extinction of radiation by ordered aggregates is stronger than for disordered aggregates: for the cases we examine, the average percent difference in scattering efficiency is 14%, and the maximum percent difference in scattering efficiency is 44%; the average percent difference in absorption efficiency is 5.3%, and the maximum percent difference in absorption efficiency is 18%; the average percent difference in extinction efficiency is 12%, and the maximum percent difference in extinction efficiency is 40%. These differences have implications regarding radiative transfer in systems of amorphous particles in general.

We investigate theoretically the accuracy of an effective medium approximation in modeling localized surface plasmon resonance biosensors for the detection of biopolymer nucleation. Using boundary-element method simulations, we compute the extinction spectrum and spectral shift of a gold nanoparticle-biopolymer system in which biopolymers are treated as cylindrical rods and compare them with results from an extended Mie theory in which biopolymers are treated as an effective medium with a radially variable refractive index. Our results show that the effective medium approximation can be employed to predict the extinction spectrum and the spectral shift accurately. We also demonstrate that the approximation is effective even when there is only a single biopolymer on the nanoparticle, as long as its orientation relative to the incident wave is random, which is generally the case in solution-based localized surface plasmon resonance biosensing applications where the orientations of biomolecules relative to the incident light are not fixed, but change over time.

A scheme to dynamically control the off-axis directional scattering from a silicon nanodisk is proposed, which is based on focused fields formed by the coherent superposition of radially and linearly polarized beams. When the phase condition of the generalized Kerker conditions is satisfied at a specified wavelength, the amplitude requirement for the off-axis directional scattering along a required direction can be fulfilled by tuning the magnitude ratio of the two focused beams. Therefore, directional control of the off-axis scattering in the meridional plane is achieved without the manipulation of the working wavelength. Our findings provide new possibilities of future potential applications of all-dielectric nanoantennas.

In this paper, we have theoretically studied a poly (3-hexylthiophene): 6,6-phenyl C61-butyric acid methyl ester (P3HT: PCBM) organic solar cell with randomly dispersed bimetallic nanoparticles. We have considered bimetallic core–shell Ag–Au nanoparticles as scattering centers randomly distributed among the active layer of a P3HT: PCBM solar cell. To study the role of Ag–Au nanoparticles, we have used the effective medium theory. The extinction and scattering cross sections of core–shells have been calculated based on the extended Mie theory. The scattering cross section of the active layer has been calculated by combining the extended Mie theory with the effective medium theory. The calculated current–voltage curve of solar cells has been compared with the experimental data of similar works to check the model’s validity. In the optimized situation, it shows good agreement with experimental data, and we have obtained about 59% enhancement in the short circuit current of the solar cell.

In the present study, the capabilities and limitations of surface light scattering (SLS) experiments in reflection geometry are investigated. Based on the study of the transparent reference fluid toluene at 303.15 K over a wide range of wave vectors between ( 0.3 a n d 6.6 ) × 1 0 5 m − 1 , the performance of two different detection schemes analyzing light scattered from the vapor–liquid interface in a perpendicular and non-perpendicular direction is assessed. Considering various aspects such as the quality of the heterodyne correlation functions, the input information for data evaluation, and the line-broadening effects, both detection schemes show comparable overall efficiency. For wave vectors larger than 4.5 × 1 0 5 m − 1 , where line-broadening effects are suppressed, the results obtained for liquid viscosity and surface tension agree with measurements in transmission geometry, validating the capability of the apparatus. For wave vectors smaller than 1.5 × 1 0 5 m − 1 , the SLS signals are distinctly affected by line-broadening effects, which will result in erroneous values for surface tension and in particular viscosity, even if empirical fitting approaches commonly used in literature are applied. The modeling of the influence of line broadening on the measurements results by a simple Gaussian-weighted sum of individual damped oscillations reveals the increasing complexity of the underlying wave vector distribution toward smaller wave vectors chosen for the scattering geometry.

Manipulating the light scattering direction and enhancing directivity are important research areas in integrated nanophotonic devices. Herein, a novel, to the best of our knowledge, nanoantenna composed of hollow silicon nanoblocks is designed to allow directional emission manipulation. In this device, forward scattering is enhanced and backward scattering is restrained substantially in the visible region. Owing to electric dipole resonance and magnetic dipole resonance in this nanoantenna, Kerker’s type conditions are satisfied, and the directionality of forward scattering G F B reaches 44.6 dB, indicating good characteristics in manipulating the light scattering direction.

Thin, wavy ribbons of light known as “shadow bands” can be seen moving and undulating on the ground just preceding and following the occurrence of a total solar eclipse. Using the scattering scintillation theory, Codona [Astron. Astrophys. 164, 415 (1986)AAEJAF0004-6361] presented theoretical investigations that explain recorded features of shadow bands and suggest the turbulence mainly responsible for the bands is within the bottom 2–3 km of the atmosphere. This paper proposes an approach to model the shadow band phenomena using a numerical wave optics simulation. The simulation approach employs numerical wave optics techniques to model a crescent-shape source, propagation of component plane waves through turbulence phase screens, and observation of the light at the ground. The simulation produces intensity patterns with structures and evolution that are consistent with actual shadow band observations and Codona’s theory. The contribution of the turbulence phase screens as a function of height to the shadow band intensity scintillation index is simulated and excellent correspondence is found with the theory. Finally, the practical utility of the simulation is illustrated by creating intensity frames that show the temporal evolution of the patterns due to wind. The simulation approach is adaptable and can be applied to scintillation and imaging problems involving other incoherent objects or sources that subtend relatively large angles and are observed through atmospheric turbulence.

Static scattering is detrimental to the accuracy of laser speckle contrast analysis (LASCA) measurements on skin when, instead of percentile change monitoring, absolute perfusion values are needed, e.g., for tissue injury examination. Perfusion values were calculated using two evaluation models, while changing the dynamic/static scattering ratio of monitored skin and tissue phantoms. Results were strongly affected by the significant increase of static contribution. Measurements on a modified tissue phantom showed that the changes in the measured perfusion values were mostly caused by the mixed scattering, which was omitted by the tested models. Dynamic ratio values obtained by multi-exposure LASCA could be used for perfusion data correction.

An approach for image transmission based on the Airy array beam is proposed and demonstrated. The Airy array beam is generated by employing the product of a special cubic phase and a shift function at its Fourier plane. The image can be modulated into this Airy array beam by overlapping it at the Fourier plane of this beam. After passing through a certain distance, the image information can be recovered from the modulated Airy array beam by Fourier transform. Compared to the existing Airy array beam, higher integrity and image information quality can be achieved by increasing the width of the obstacle that blocks the propagation of these beams. The capability mentioned above is experimentally verified. Moreover, to research the diffraction of this Airy array beam in the scattering environment, the propagation process of this Airy array beam in a scattering medium is theoretically derived and numerically studied. The corresponding experiment demonstrates that the propagation process matches well with the numerical study and simulation.

Traditional optical imaging systems can provide high-quality imaging with complicated and expensive optical design by eliminating aberrations. With the help of optical memory effect (ME), not independently improving single imaging parameter, but simultaneously improving several imaging parameters by adding scattering media to the imaging systems was demonstrated firstly. As an example, in a simple single-lens imaging system, except the depth-of-field (DOF) was improved greatly, spherical aberration, coma aberration and chromatic aberration were eliminated simultaneously by placing a scattering medium between the lens and the camera. The results indicate the potential applications of scattering media in many fields such as optical imaging, optical measurements and biomedical applications., 9 pages, 6 figures

This two-part paper demonstrates the use of wave-optics simulations to model the effects of dynamic speckle. In Part I, we formulate closed-form expressions for the analytical irradiance correlation coefficient, specifically in the pupil plane of an optical system. These expressions are for square, circular, and Gaussian scattering spots and four different modes of extended-object motion, including in-plane and out-of-plane translation and rotation. Using a phase-screen approach, we then simulate the equivalent scattering from an optically rough extended object, where we assume that the surface heights are uniformly distributed and delta correlated from grid point to grid point. For comparison to the analytical irradiance correlation coefficient, we also calculate the numerical irradiance correlation coefficient from the dynamic speckle after propagation from the simulated object plane to the simulated pupil plane. Overall, the analytical and numerical results definitely demonstrate that, relative to theory, the dynamic speckle in the simulated pupil plane is properly correlated from one frame to the next. Such validated wave-optics simulations provide the framework needed to model more sophisticated setups and obtain accurate results for system-level studies.

In pursuit of perfect infrared (IR) radiation absorbers, we examined quasi-crystal structures made of graphite wires. Simulations on an array of subwavelength graphitic cages and cage-within-cage frameworks indicate a flat absorption coefficient between 10–30 µm. The concept could be scaled up through the 50–120 µm [far-IR, terahertz (THz)] region by a proper structural design. For cage-within-cage, the IR radiation energy is funneled toward the inner cage, resulting in a rather hot structure. At longer wavelengths (microwave region), the electrical conductivity dominates the negative dielectric effect, and experiments with copper cages indicate scattering resonances. Graphitic structures allude to some absorption even at microwave frequencies. Applications are envisioned as anti-fogging surfaces, adaptable electromagnetic shields, energy harvesting, and efficient absorbers in the far-IR (THz frequencies).