Quantifying the Impact of Random Surface Perturbations on Reflective Gratings
| Autor: | Rubén Aylwin, Carlos Jerez-Hanckes, Patrick Fay, Gerardo Silva-Oelker |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Monte Carlo method Mathematical analysis 010103 numerical & computational mathematics Method of moments (statistics) 01 natural sciences Integral equation 010309 optics symbols.namesake Rate of convergence Electric field 0103 physical sciences Taylor series symbols Tensor 0101 mathematics Electrical and Electronic Engineering Perfect conductor |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 66:838-847 |
| ISSN: | 1558-2221 0018-926X |
| DOI: | 10.1109/tap.2017.2780902 |
| Popis: | We present a novel deterministic method capable of calculating statistical moments of transverse electric polarized fields scattered by perfect electric conductor gratings with small surface random perturbations. Based on a first-order shape Taylor expansion, the resulting electric field integral equations are solved via the method of moments with constant hierarchical basis or Haar wavelets. This allows for a sparse tensor approximation, significantly reducing the number of required unknowns and yielding a higher rate of convergence than a dense approximation. Moreover, the proposed approach converges faster than Monte Carlo simulations with significantly less computational effort. Validation of the proposed approach is performed for several cases, and realistic simulations applied to the calculation and prediction of grating efficiency reveal the applicability of the method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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