2017
DOI: 10.1137/16m1059679
|View full text |Cite
|
Sign up to set email alerts
|

Numerical Solution of Diffraction Problems: A High-Order Perturbation of Surfaces and Asymptotic Waveform Evaluation Method

Abstract: The rapid and robust simulation of linear waves interacting with layered periodic media is a crucial capability in many areas of scientific and engineering interest. High-order perturbation of surfaces (HOPS) algorithms are interfacial methods which recursively estimate scattering quantities via perturbation in the interface shape heights/slopes. For a single incidence wavelength such methods are the most efficient available in the parameterized setting we consider here. In the current contribution we generali… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
5

Citation Types

0
5
0

Year Published

2017
2017
2024
2024

Publication Types

Select...
6

Relationship

3
3

Authors

Journals

citations
Cited by 8 publications
(5 citation statements)
references
References 46 publications
0
5
0
Order By: Relevance
“…RCWA relies on intrinsically low-order staircase approximations of the layer interface. It is worth mentioning a recent development of a high-order perturbation of surface (HOPS) method [17,18] that has shown promising results for shallow gratings in a low frequency regime.…”
Section: Introductionmentioning
confidence: 99%
“…RCWA relies on intrinsically low-order staircase approximations of the layer interface. It is worth mentioning a recent development of a high-order perturbation of surface (HOPS) method [17,18] that has shown promising results for shallow gratings in a low frequency regime.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, because of its perturbative character and expression in terms of periodic eigenfunctions of the Laplacian, it has advantages over integral equations approaches 15 : there is no need for specialized quadratures, periodization strategies, or iteration schemes for solving dense, nonsymmetric positive-definite systems of linear equations. 16,17 From our simulations we have made a number of important discoveries. First, the introduction of periodic corrugations can significantly increase the useful power density (4.2651 W/cm 2 versus 3.4443 W/cm 2 ) of solar cells in transverse magnetic (TM) polarization.…”
Section: Introductionmentioning
confidence: 99%
“…A subtlety of our approach is that, in order to close the system of equations, surface integral operators must be introduced which connect interface traces of the scattered fields (Dirichlet data) to their surface normal derivatives (Neumann data). Such Dirichlet-Neumann Operators (DNOs) have been widely used and studied in the simulation of linear wave scattering, e.g., for enforcing far-field boundary conditions transparently [2,3,8,9,15,19,21,22,35] and interfacial formulations of scattering problems [27,29,32,34,36].…”
Section: Introductionmentioning
confidence: 99%