Rapid analysis of scattering from periodic dielectric structures using accelerated Cartesian expansions

Baczewski, Andrew David; Miller, Nicholas C.; Shanker, Balasubramaniam

doi:10.1364/JOSAA.29.000531

Rapid analysis of scattering from periodic dielectric structures using accelerated Cartesian expansions

Journal Article · Thu Mar 22 00:00:00 EDT 2012 · Journal of the Optical Society of America. A, Optics, Image Science, and Vision

DOI:https://doi.org/10.1364/JOSAA.29.000531· OSTI ID:1252696

Baczewski, Andrew David ^[1]; Miller, Nicholas C. ^[1]; Shanker, Balasubramaniam ^[1]

Michigan State Univ., East Lansing, MI (United States)

Here, the analysis of fields in periodic dielectric structures arise in numerous applications of recent interest, ranging from photonic bandgap structures and plasmonically active nanostructures to metamaterials. To achieve an accurate representation of the fields in these structures using numerical methods, dense spatial discretization is required. This, in turn, affects the cost of analysis, particularly for integral-equation-based methods, for which traditional iterative methods require Ο(Ν²) operations, Ν being the number of spatial degrees of freedom. In this paper, we introduce a method for the rapid solution of volumetric electric field integral equations used in the analysis of doubly periodic dielectric structures. The crux of our method is the accelerated Cartesian expansion algorithm, which is used to evaluate the requisite potentials in Ο(Ν) cost. Results are provided that corroborate our claims of acceleration without compromising accuracy, as well as the application of our method to a number of compelling photonics applications.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1252696

Report Number(s):: SAND--2016-1053J; 619145

Journal Information:: Journal of the Optical Society of America. A, Optics, Image Science, and Vision, Journal Name: Journal of the Optical Society of America. A, Optics, Image Science, and Vision Journal Issue: 4 Vol. 29; ISSN 1084-7529; ISSN JOAOD6

Publisher:: Optical Society of America (OSA)Copyright Statement

Country of Publication:: United States

Language:: English

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