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Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging

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

We previously presented an asymptotic diffraction theory for time-harmonic and transient scattering by arbitrarily illuminated truncated nonuniform thin-wire gratings [J. Opt. Soc. Am. A 11, 1291 (1994)]. We parameterized and interpreted the results in terms of scattered truncated Floquet modes (FM’s) and Floquet- modulated edge diffraction, which generalize the constructs of the conventional geometric theory of diffraction (GTD). We also demonstrated that numerical implementation of the FM-GTD algorithm yields results that compare very well with data computed from rigorously based numerical reference solutions. We enlarge the previous frequency-domain numerical data base for gratings to scattering by truncated arrays whose elements are arbitrarily oriented strips rather than thin-wire filaments and also to arrays whose element locations depart from truncated periodicity in a random rather than an orderly maimer. We show that the FM-GTD parameterization of the scattered field remains applicable under these generalized conditions. With a view toward inversion and imaging, our principal purpose is the application of space-wave-number phase-space processing techniques to extract the footprints of truncated nonuniform periodicity from the scattered-field data. Because the processing is tied to the wave physics, we refer to this procedure as wave-oriented data processing. Implementation involves projection onto appropriate phase-space subdomains and the generation of space-wave-number phase-space distributions by windowed Fourier transforms. It is found that this form of processing in the frequency domain highlights effects of truncation and perturbed periodicity but is not very sensitive to the structure of the array elements (i.e., wires versus strips). In a companion paper [J. Opt. Soc. Am. A 11, 2685 (1994)] we perform phase-space processing in the time domain, show how the time-domain FM-GTD phenomenology is revealed through time-frequency distributions, and show also how short-pulse excitation enhances the sensitivity with respect to element structure by means of spatial-temporal resolution. © 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

10

Start / End Page

2675 / 2684

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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McClure, M., Kralj, D., Hsu, T. T., Carin, L., & Felsen, L. B. (1994). Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 11(10), 2675–2684. https://doi.org/10.1364/JOSAA.11.002675
McClure, M., D. Kralj, T. T. Hsu, L. Carin, and L. B. Felsen. “Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging.” Journal of the Optical Society of America A: Optics and Image Science, and Vision 11, no. 10 (January 1, 1994): 2675–84. https://doi.org/10.1364/JOSAA.11.002675.
McClure M, Kralj D, Hsu TT, Carin L, Felsen LB. Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging. Journal of the Optical Society of America A: Optics and Image Science, and Vision. 1994 Jan 1;11(10):2675–84.
McClure, M., et al. “Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging.” Journal of the Optical Society of America A: Optics and Image Science, and Vision, vol. 11, no. 10, Jan. 1994, pp. 2675–84. Scopus, doi:10.1364/JOSAA.11.002675.
McClure M, Kralj D, Hsu TT, Carin L, Felsen LB. Frequency-domain scattering by nonuniform truncated arrays: Wave-oriented data processing for inversion and imaging. Journal of the Optical Society of America A: Optics and Image Science, and Vision. 1994 Jan 1;11(10):2675–2684.
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

10

Start / End Page

2675 / 2684

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