2004
DOI: 10.2528/pier03032001
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A Time Domain Incremental Theory of Diffraction: Scattering of Electromagnetic Pulsed Plane Waves

Abstract: A new formulation of a time domain incremental theory is introduced. This approach is applied to the scattering of a pulsed plane wave incident on a circular disk. It is shown that the scattered field is free from singularities at caustics and exhibits a notable wave structure outside Keller's cone.

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Cited by 11 publications
(19 citation statements)
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“…In Ref. [25], a time-domain incremental theory of diffraction (TD-ITD) was formulated and applied to the scattering of pulsed plane waves from a circular disk. In this section, that analysis will be extended to the scattering of a first order TE X-wave from a circular perfectly conducting disk.…”
Section: Scattering Of Te X-waves From a Perfectly Conducting Circulamentioning
confidence: 99%
“…In Ref. [25], a time-domain incremental theory of diffraction (TD-ITD) was formulated and applied to the scattering of pulsed plane waves from a circular disk. In this section, that analysis will be extended to the scattering of a first order TE X-wave from a circular perfectly conducting disk.…”
Section: Scattering Of Te X-waves From a Perfectly Conducting Circulamentioning
confidence: 99%
“…Therefore, more accurate and general field prediction models are frequently sought. Towards this direction, ray tracing techniques [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] have been extensively employed, being the state-of-the-art, especially in indoor propagation modeling. Such methods are usually based on simplified models of electromagnetic wave reflection, refraction and diffraction (such as physical optics, geometric optics or geometric theory of diffraction approximations) and, as expected, they require a large number of rays to capture the physics of the problem.…”
Section: Introductionmentioning
confidence: 99%
“…The formulation of a plane wave propagation in an unbounded isotropic homogeneous medium using (10) has been rigorously derived in [21] and is employed in this section to demonstrate the utilization of the concepts developed in this paper. According to [21], the plane wave propagating fromr 1 tor 2 can be expressed as (18) where…”
Section: Demonstrating Examplesmentioning
confidence: 99%
“…Due to the needs of TD solutions, many efforts have been applied [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Typical TD approaches include using fast Fourier transform (FFT) or analytical time transform (ATT) [16,17] to directly inverse FD solutions into TD, finite difference time domain (FDTD) [18], TD integral approaches [19] and TD uniform geometrical theory of diffractions (TD-UTD) [13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%