Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/103248
Title: Green's function application to photonic crystal waveguides analysis
Authors: Mitelman, Y. E.
Shabunin, S. N.
Issue Date: 2020
Publisher: American Institute of Physics Inc.
Citation: Mitelman Y. E. Green's function application to photonic crystal waveguides analysis / Y. E. Mitelman, S. N. Shabunin. — DOI 10.1063/5.0026827 // AIP Conference Proceedings. — 2020. — Vol. 2293. — 140015.
Abstract: The paper considers application of the Green's tensor functions to analysis of the multilayer magneto-dielectric structures in relation to photonic crystals of the microwave range. The solution of the problem of electromagnetic wave propagation in rectangular and flat waveguides, as well as in unlimited space is presented. Efficiency of application of the Green's functions to calculation of transmission coefficients through the regular and perturbed structure of a photonic crystal is shown. It was proposed to solve the problem of diffraction of electromagnetic waves by the layered structures as the problem of equivalent electric and magnetic currents radiation. These currents are determined on the illuminated layered media surface by the Equivalence Theorem. The magnitude of the current is related to the electric field intensity, and, also, the direction of the incident wave is defined by the current phase distribution. The radiation of the equivalent currents behind the layered structure is considered as a transmitted wave. Radiation of these currents in the same region is treated as a reflected wave. So, transmission and reflection coefficients are defined. Application of this approach to analysis of the periodic structures of the photonic crystals is shown in this paper. © 2020 American Institute of Physics Inc.. All rights reserved.
Keywords: DIFFRACTION
GREEN'S FUNCTION
PHOTONIC CRYSTAL
PROPAGATION
TRANSMITTING LOSSES
URI: http://hdl.handle.net/10995/103248
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85098007223
PURE ID: 20395844
1666c5a8-75f4-4750-a83d-6a6f4a9aeeeb
ISSN: 0094243X
ISBN: 9780735440258
DOI: 10.1063/5.0026827
metadata.dc.description.sponsorship: This work was supported by the Grant of the Ministry of Science and Higher Education of the Russian Federation (project no 8.2538.2017/4.6).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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