A RIGOROUS NUMERICAL ANALYSIS OF THE TRANSFORMED FIELD EXPANSION METHOD FOR DIFFRACTION BY PERIODIC, LAYERED STRUCTURES

Cited 2 time in webofscience Cited 0 time in scopus
  • Hit : 97
  • Download : 0
Boundary perturbation methods have received considerable attention in recent years due to their ability to simulate solutions of differential equations of applied interest in a stable, robust, and highly accurate fashion. In this contribution we study the rigorous numerical analysis of a recently proposed high-order perturbation of surfaces method for scattering of electromagnetic waves by a doubly layered, periodic medium in transverse electric polarization. The algorithm in question is a transformed field expansion method which is discretized with a Fourier-Legendre-Galerkin, Taylor series approach. We prove not only results on existence and uniqueness of solutions but also theorems indicating that solutions of our scheme converge to these solutions with high-order spectral accuracy.
Publisher
SIAM PUBLICATIONS
Issue Date
2021
Language
English
Article Type
Article
Citation

SIAM JOURNAL ON NUMERICAL ANALYSIS, v.59, no.1, pp.456 - 476

ISSN
0036-1429
DOI
10.1137/20M131374X
URI
http://hdl.handle.net/10203/311016
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 2 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0