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Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings

Publication ,  Journal Article
Felsen, LB; Carin, L
Published in: Journal of the Optical Society of America A: Optics and Image Science, and Vision
January 1, 1994

An arbitrarily illuminated truncated nonuniform thin-wire grating produces a scattered field that can be synthesized by superposition of the fields radiated by the currents induced on each wire element. For weak departures from periodicity and for quasi-plane-wave conditions of incidence the combined effect of the individual induced radiations exhibits beam structure that can be interpreted in terms of truncated locally adapted Floquet modes plus Floquet-modulated edge diffractions that are due to the truncations. This interpretation is tied directly to the fields produced by a truncated aperture source distribution, provided that this distribution bears the local Floquet-mode (FM) imprint. The equivalence between the two formulations is established by Poisson summation, which converts the finite sum of individually radiated scattered fields into ’ a series of truncated wave spectra (the Floquet modes) plus truncation contributions (the edge diffractions). The analysis is carried out for two-dimensional geometries, with reliance on high-frequency asymptotics applied first to the Poisson spectral integrals in the frequency domain and subsequently to the Fourier inversion into the time domain. The result is a new hybrid diffracted-ray-FM algorithm valid throughout the near, intermediate, and far zones of the total grating aperture in the frequency domain and yielding time-domain Floquet modes with novel features and interpretation. The quality of the ray-mode algorithm is assessed by comparison with reference data generated by direct numerical techniques. Because the diffraction-oriented analysis clarifies the spectral connection between individually radiated fields that are due to localized sources and globally radiated fields that are due to the collective effect of these sources, the resulting algorithm may be helpful in the design of frequency- and time-domain grating components for the control of radiative coupling. © 1994 Optical Society of America.

Duke Scholars

Published In

Journal of the Optical Society of America A: Optics and Image Science, and Vision

DOI

EISSN

1520-8532

ISSN

1084-7529

Publication Date

January 1, 1994

Volume

11

Issue

4

Start / End Page

1291 / 1306

Related Subject Headings

  • Optics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1113 Opthalmology and Optometry
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics
 

Citation

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ICMJE
MLA
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Felsen, L. B., & Carin, L. (1994). Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 11(4), 1291–1306. https://doi.org/10.1364/JOSAA.11.001291
Felsen, L. B., and L. Carin. “Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings.” Journal of the Optical Society of America A: Optics and Image Science, and Vision 11, no. 4 (January 1, 1994): 1291–1306. https://doi.org/10.1364/JOSAA.11.001291.
Felsen LB, Carin L. Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings. Journal of the Optical Society of America A: Optics and Image Science, and Vision. 1994 Jan 1;11(4):1291–306.
Felsen, L. B., and L. Carin. “Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings.” Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 11, no. 4, Jan. 1994, pp. 1291–306. Scopus, doi:10.1364/JOSAA.11.001291.
Felsen LB, Carin L. Diffraction theory of frequency- and time-domain scattering by weakly aperiodic truncated thin-wire gratings. Journal of the Optical Society of America A: Optics and Image Science, and Vision. 1994 Jan 1;11(4):1291–1306.
Journal cover image

Published In

Journal of the Optical Society of America A: Optics and Image Science, and Vision

DOI

EISSN

1520-8532

ISSN

1084-7529

Publication Date

January 1, 1994

Volume

11

Issue

4

Start / End Page

1291 / 1306

Related Subject Headings

  • Optics
  • 4009 Electronics, sensors and digital hardware
  • 4006 Communications engineering
  • 1113 Opthalmology and Optometry
  • 0906 Electrical and Electronic Engineering
  • 0205 Optical Physics