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Scaling law, confined and surface modes in photonic fibonacci stub structures: theory and experiment
- Source :
- Applied Sciences-Basel, Applied Sciences-Basel, 2020, 10 (21), 7767, 24 p. ⟨10.3390/app10217767⟩, Applied Sciences, Volume 10, Issue 21, Applied Sciences, 2020, 10 (21), pp.7767. ⟨10.3390/app10217767⟩, Applied Sciences, Vol 10, Iss 7767, p 7767 (2020)
- Publication Year :
- 2020
- Publisher :
- HAL CCSD, 2020.
-
Abstract
- We investigate both theoretically and experimentally the properties of electromagnetic waves propagation and localization in periodic and quasi-periodic stub structures of Fibonacci type. Each block constituting the Fibonacci sequence (FS) is composed of an horizontal segment and a vertical stub. The origin of the primary and secondary gaps shown in such systems is discussed. The behaviors and scattering properties of the electromagnetic modes are studied in two geometries, when the FS is inserted horizontally between two semi-infinite waveguides or grafted vertically along a guide. Typical properties of the Fibonacci systems such as the fragmentation of the frequency spectrum, the self-similarity following a scaling law are analyzed and discussed. It is found that certain modes inside these two geometries decrease according to a power law rather than an exponential law and the localization of these modes displays the property of self-similarity around the central gap frequency of the periodic structure where the quasi-periodicity is most effective. Also, the eigenmodes of the FS of different generation order are studied depending on the boundary conditions imposed on its extremities. It is shown that both geometries provide complementary information on the localization of the different modes inside the FS. In particular, in addition to bulk modes, some localized modes induced by both extremities of the system exhibit different behaviors depending on which surface they are localized. The theory is carried out using the Green&rsquo<br />s function approach through an analysis of the dispersion relation, transmission coefficient and electric field distribution through such finite structures. The theoretical findings are in good agreement with the experimental results performed by measuring in the radio-frequency range the transmission along a waveguide in which the FS is inserted horizontally or grafted vertically.
- Subjects :
- Fibonacci number
scaling law
02 engineering and technology
lcsh:Technology
01 natural sciences
Electromagnetic radiation
Power law
electromagnetic modes
law.invention
lcsh:Chemistry
[SPI]Engineering Sciences [physics]
law
Dispersion relation
Electric field
0103 physical sciences
surface modes
General Materials Science
Transmission coefficient
010306 general physics
lcsh:QH301-705.5
Instrumentation
Fluid Flow and Transfer Processes
Physics
Condensed matter physics
self-similarity
lcsh:T
Process Chemistry and Technology
General Engineering
Fibonacci structure
021001 nanoscience & nanotechnology
lcsh:QC1-999
Computer Science Applications
Stub (electronics)
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism
lcsh:Biology (General)
lcsh:QD1-999
lcsh:TA1-2040
lcsh:Engineering (General). Civil engineering (General)
0210 nano-technology
Waveguide
lcsh:Physics
photonic crystal
stub
Subjects
Details
- Language :
- English
- ISSN :
- 20763417
- Database :
- OpenAIRE
- Journal :
- Applied Sciences-Basel, Applied Sciences-Basel, 2020, 10 (21), 7767, 24 p. ⟨10.3390/app10217767⟩, Applied Sciences, Volume 10, Issue 21, Applied Sciences, 2020, 10 (21), pp.7767. ⟨10.3390/app10217767⟩, Applied Sciences, Vol 10, Iss 7767, p 7767 (2020)
- Accession number :
- edsair.doi.dedup.....ebc013f7c6b7013774e8f182cca5068c
- Full Text :
- https://doi.org/10.3390/app10217767⟩