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The magneto-optical response of a Faraday-active Fabry-Pérot etalon with birefringent mirrors is studied by means of electrodynamic simulations using the finite-element and the scattering-matrix methods. The specific structure under consideration consists of a magnetic garnet film sandwiched between two metallic layers, patterned with periodically spaced parallel grooves on their outer sides. Our results are analyzed by reference to the properties of the individual structural components and a consistent interpretation of the different spectral features observed is provided. It is shown that, by properly adjusting the geometrical parameters involved, strong Faraday rotation enhancement can be obtained through constructive synergy between the Fabry-Pérot resonant mode of the magneto-optical nanocavity and the slot plasmon mode localized in the grooves. © 2017 IOP Publishing Ltd.

We developed an extension of the layer-multiple-scattering method to photonic crystals comprising homogeneous layers of magneto-optical materials. The applicability of the method is demonstrated on a specific architecture of a magnetic garnet thin film coated with a square array of silver nanodisks, supported by a silica substrate. It is shown that enhanced Faraday rotation, driven by hybrid particle plasmon-film quasi-guided collective modes, can be achieved within selected regions of frequency, which can be tuned by properly choosing the geometric and material parameters involved. The results are analyzed in conjunction with numerical simulations by the finite-element method and a consistent interpretation of the underlying physics is provided. Our extended layer-multiple-scattering computational methodology provides a versatile framework for fast and accurate full electrodynamic calculations of magneto-optical structures, enabling physical insight. © 2016 Optical Society of America.

The optical response of a two-dimensional periodic array of metallic nanoparticles on a dielectric waveguide is investigated by means of numerical calculations using the on-shell layer-multiple-scattering method. We find that the strong interaction between particle-plasmon and waveguide modes influences drastically the extinction spectrum of the system. Our results explain successfully available experimental data and provide a transparent physical picture of the underlying processes.

The optical properties of a dielectric waveguide coated on one side with a periodic monolayer of metallic nanospheres are studied by means of transmission and density-of-states calculations using the on-shell layer-multiple-scattering method. In particular, the strong coupling mechanism between the waveguide and collective particle-plasmon modes is analysed and its influence on the optical response of the system is elucidated. © 2005 IOP Publishing Ltd.

Quantum computers require technologies that offer both sufficient control over coherent quantum phenomena and minimal spurious interactions with the environment. We show, that photons confined to photonic crystals, and in particular to highly efficient waveguides formed from linear chains of defects doped with atoms can generate strong non-linear interactions which allow to implement both single and two qubit quantum gates. The simplicity of the gate switching mechanism, the experimental feasibility of fabricating two dimensional photonic crystal structures and integrability of this device with optoelectronics offers new interesting possibilities for optical quantum information processing networks., Comment: 4 pages, 3 figures

Using the first-principles layer-multiple-scattering method we developed in previous work, we analyze recent experimental data on the extinction of light by rectangular two-dimensional arrays of gold nanoparticles on a dielectric waveguide. The theoretical results reproduce accurately the measured spectra and provide a transparent physical picture of the underlying processes. © 2004 The American Physical Society.

We describe a photonic crystal disordered by stacking faults which can be realized in the laboratory and which exhibits an Anderson localization of light over certain regions of frequency. The localization length is obtained from a calculation of the transmittance of a slab of the material as a function of the thickness of the slab. The localization length depends on the frequency and the angle of incidence of the incident light. It appears that there are regions of frequency where all states of the electromagnetic field are either localized or delocalized, but we also find regions where localized states coexist with delocalized ones. © 2003 The American Physical Society.

The effect of different approximations to the dielctric function of a silver sphere on the absorption of light by periodic and non-periodic arrays of non-overlapping silver spheres in a host dielectric medium was studied. The band structure and the absorption coefficient of light by photonic crystals were also discussed. The photonic crystals consisted of non-overlapping silver-coated spheres in a dielectric medium.

We develop a two-stage multiple-scattering formalism for the calculation of photonic bands generated by chains of defects in photonic crystals consisting of nonoverlapping spheres, and for the calculation of the transmission of light through straight and bent waveguides of such chains. We apply the method to a specific example which demonstrates that transmission through a bent waveguide occurs with the same efficiency as for a straight waveguide.

A brief introduction of the layer-Korringa-Kohn-Rostoker method for calculations of the frequency band structure of photonic crystals and of the transmission and reflection coefficients of light incident on slabs of such crystals is followed by two applications of the method. The first relates to the frequency band structure of metallodielectric composites and demonstrates the essential difference between cermet and network topology of such composites at low frequencies. The second application is an analysis of recent measurements of the reflection of light from a slab of a colloidal system consisting of latex spheres in air. (C) 2001 Optical Society of America.

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in three-dimensional periodic structures, finite slabs of layered structures, and systems with impurities: isolated impurities, impurity aggregates, or randomly distributed impurities. We point out the similarities and differences between the different cases considered, and discuss the numerical implementation of the formalism. © 2001 Elsevier Science B.V.

The effect of stacking faults on the optical properties of self-assembled photonic crystals was studied by directly calculating the transmittance of macroscopic disordered slabs of inverted opals. It was found that the stacking faults introduce localized states within the absolute frequency gap but, due to their random distribution, the transmittance of a finite slab of the material is negligble at the corresponding resonant frequencies and also near the edges of the gap.

We examine the optical properties of metals containing a periodic arrangement of nonoverlapping spherical mesopores, empty or filled with a dielectric material. We show that a slab of such a porous metal transmits light over regions of frequency determined by the dielectric constant of the cavities and the fractional volume occupied by them, with an efficiency, which is many orders of magnitude higher than predicted by standard aperture theory. Also, the system absorbs light efficiently over the said regions of frequency unlike the homogeneous metal.

We present a new version of a program for the calculation of the frequency band structure of an infinite photonic crystal, and of the transmission, reflection and absorption coefficients of light by a slab of this crystal. The crystal consists of a stack of identical slices parallel to a given surface; a slice may consist of a number of different components, each of which can be either a homogeneous plate or a multilayer of non-overlapping spherical particles of given periodicity parallel to the surface. The homogeneous media to the left and right of the slab may be different (have different real and positive dielectric functions and magnetic permeabilities). (C) 2000 Elsevier Science B.V. All rights reserved.

We present a method, based on the coherent potential approximation, for the treatment of disorder in photonic crystals. We apply the method to the study of light absorption by a three-dimensional array of plasma spheres distributed randomly in a host dielectric medium. We find that the effect of disorder on the absorbance of a thick slab of the material consisting of many layers of spheres is much less pronounced than in the corresponding case of a single layer of spheres. © 2000 The American Physical Society.

We present a systematic examination of the optical properties of photonic crystals consisting of metallic particles (plasma spheres) arranged periodically in a host dielectric medium. We calculate exactly the transmission and absorption coefficients of light incident on a slab of the material as functions of the frequency of the incident light and analyze the results by reference to the properties of a single sphere and to the frequency band structure of the corresponding infinite crystal. We examine the dependence of the above coefficients on the fractional volume occupied by the spheres and on the thickness of the slab. Finally we compare our results with those of the Maxwell Garnett effective-medium theory and in this way we establish the limitations of the latter. We show in particular that multipole interactions which the Maxwell Garnett theory does not take into account lead to significant structure in the transmission/absorption spectra. © 1999 The American Physical Society.

We present a program for the calculation of the frequency band structure of an infinite photonic crystal, and of the transmission, reflection and absorption coefficients of light by a slab of this crystal. The crystal consists of a stack of identical slices parallel to a given surface; a slice may consist of a number of different components, each of which can be either a homogeneous plate or a multilayer of spherical particles of given periodicity parallel to the surface. (C) 1998 Elsevier Science B.V.

We present a theoretical analysis of the photonic band structure of fcc colloidal crystals in relation to experimentally available transmission spectra of finite slabs of such crystals. © 1997 IOP Publishing Ltd.