2001
DOI: 10.1109/8.947022
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Quasi-ray Gaussian beam algorithm for time-harmonic two-dimensional scattering by moderately rough interfaces

Abstract: Gabor-based Gaussian beam (GB) algorithms, in conjunction with the complex source point (CSP) method for generating beam-like wave objects, have found application in a variety of high-frequency wave propagation and diffraction scenarios. Of special interest for efficient numerical implementation is the noncollimated narrow-waisted species of GB, which reduces the computationally intensive complex ray tracing for collimated GB propagation and scattering to quasi-real ray tracing, without the failure of strictly… Show more

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Cited by 33 publications
(45 citation statements)
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“…In the second equality of (12), use has been made of (11) and . The expansion coefficients in (8) (13) at the bottom of the page] where denotes the complex conjugate. For the Gaussian window in (9), a closed-form expression for is derived in [2, App.…”
Section: A Discretized Gabor-based Field Representations In Thementioning
confidence: 99%
See 1 more Smart Citation
“…In the second equality of (12), use has been made of (11) and . The expansion coefficients in (8) (13) at the bottom of the page] where denotes the complex conjugate. For the Gaussian window in (9), a closed-form expression for is derived in [2, App.…”
Section: A Discretized Gabor-based Field Representations In Thementioning
confidence: 99%
“…In a stepwise approach toward constructing the necessary algorithms, we have proceeded along two parallel routes: 1. extension of the frequency domain (FD) algorithms for the 1-D aperture/2-D field configuration to the new rough interface propagation environment, and to the new general case of 2-D aperture/three-dimensional (3-D) vector fields; 2. extension of the FD results to the short-pulse-excited time domain (TD). The FD interaction of the 1-D aperture radiated field with a moderately rough interface has been addressed in [7] and [8] for the forward problem and in [9] and [10] for the inverse problem, whereas the 2-D aperture/3-D field radiation problem has been addressed in [2] and [3]. The TD extension of the 1-D aperture problem has been carried out in [1], and the extension to 2-D apertures is the subject of the present paper.…”
mentioning
confidence: 99%
“…They now constitute widely-developed tools for many applications in highfrequency computational electromagnetics. They can be employed in the analysis of metallic reflectors [2,3], lenses [4], radomes [5,6], rough surfaces [7], dichroic surfaces [8], or propagation channels [9]. There are generally two key components in a modeling approach based on Gaussian beams: the expansion and the tracking.…”
Section: Introductionmentioning
confidence: 99%
“…The discretization of Gaussian beams to solve the problem of short pulses scattering on the one-dimensional aperture is considered in [24,25]. The two-dimensional problem of the Gaussian beams scattering on dielectric and layered structures, photonic crystals is considered in [26,27]. The analysis of a two-dimensional problem of the beam scattering on complex conducting surfaces and layered media is made in [28,29].…”
Section: Introductionmentioning
confidence: 99%