Analysis of 1D periodic dielectric structures using a hybrid projection method

A method is proposed for analysis of longitudinally inhomogeneous 1D periodic dielectric structures located on a homogeneous magnetodielectric layer. According to the method, in the case of the E ( H ) polarization, the transverse electric (magnetic) field in the region containing the elements of th...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2012-10, Vol.57 (10), p.1073-1083
Main Authors: Skobelev, S. P., Smol’nikova, O. N.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Antennas
Communications Engineering
Communications technology
Composite materials
Dielectrics
Efficiency
Electric fields
Electrodynamics and Wave Propagation
Electromagnetism
Electronics
Engineering
Finite element analysis
Geometry
Harmonic analysis
Helmholtz equations
Integral equations
Matching
Materials research
Mathematical analysis
Mathematical models
Methods
Networks
Optimization
Ordinary differential equations
Permeability
Projection
Propagation
Studies
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Summary:A method is proposed for analysis of longitudinally inhomogeneous 1D periodic dielectric structures located on a homogeneous magnetodielectric layer. According to the method, in the case of the E ( H ) polarization, the transverse electric (magnetic) field in the region containing the elements of the structure is expanded over transverse functions of Floquet harmonics with unknown variable coefficients. Projection of the Helmholtz equations for the aforementioned fields onto the transverse functions, application of the 1D method of finite elements for the longitudinal coordinate, and use of projection matching of the fields on the boundaries of partial regions reduce the problem to numerically solvable systems of linear algebraic equations. The results of comparison demonstrating the efficiency of the method, the results of optimization of rectangular and triangular elements of a lossless dielectric structure designed for matching to free space, and the reflection coefficients for absorbing periodic structures based on recently developed wideband polyurethane-foam materials with a superdispersed carbonic filler are presented and discussed.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226912070121