Three-dimensional scalar beam diffraction by a half plane

Suedan, G.A.; Jull, E.V.

doi:10.1016/0010-4655(91)90208-3

Cited by 18 publications

(14 citation statements)

References 15 publications

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“…With increasing distance from the screen, the frequency and the number of these oscillations decrease, so that the resulting field in the zone of Fraunhofer diffraction is completely free of such oscillations. Since the discussed evolution of the central part of this distribution is described and studied in detail in [3][4][5][6][7][8], we omit its detailed consideration and proceed to the main issue, namely, the wide-angle component of the diffracted radiation.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Wide-angle diffraction of the laser beam by a sharp edge

Anokhov

Lymarenko

Khizhnyak

2004

Radiophys Quantum Electron

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UDC 535.2:621Using a rigorous theory of diffraction, we explain the origin and analyze the structure of a wideangle illuminated area observed when a limited beam is diffracted by the sharp edge of an opaque screen. It is shown that the formed plume has the structure of a cylindrical wave traveling from the screen edge and its amplitude is proportional to the beam amplitude at this edge. The observed structure is Young's boundary wave produced by diffraction of the limited beam.

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Section: Numerical Resultsmentioning

confidence: 99%

“…Generally speaking, interest in the subject is not new. The edge diffraction of Gaussian beams was studied in [3][4][5][6]. However, information on the above-described wide-angle component is absent in those works.…”

Section: Introductionmentioning

confidence: 94%

Wide-angle diffraction of the laser beam by a sharp edge

Anokhov

Lymarenko

Khizhnyak

2004

Radiophys Quantum Electron

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“…Finally, we note that the BS representation of the "modified" field potentials has the same form as (23) except that the expansion coefficients are now , which are calculated via (24) using , discussed after (17). One finds that and tend to zero if or if , respectively [see discussions after (15) and after (73)]. …”

Section: A a General Outline Of The Expansion Proceduresmentioning

confidence: 97%

“…This implies that the pole terms in (69) are operative if the incident beam intercepts face 1 of the wedge at . Evaluating the field associated with these terms [via (16) or (19)], we obtain for the reflected beam field assuming an infinite surface of impedance in the plane [see (15)], while for , we obtain , which cancels the incident field in (12) for the total field. It follows that the pole terms describe the BO field.…”

Section: B Uniform Asymptotic Approximation For Of (54) and (55)mentioning

confidence: 99%

Gaussian Beam Summation Representation of Beam Diffraction by an Impedance Wedge: A 3D Electromagnetic Formulation Within the Physical Optics Approximation

Katsav

Heyman

2012

IEEE Trans. Antennas Propagat.

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We present a beam summation (BS) representation for the field scattered by an impedance wedge illuminated by a general 3D electromagnetic Gaussian beam (EM-GB). The emphasis here is not only on the solution of the beam diffraction problem, but mainly on the BS representation. In this representation, the field is expressed as a beam optics (BO) term plus an edge field, described as a sum of diffracted EM-GB's emerging from a discrete set of points and directions along the edge. We introduce an edge-fixed set of EM-GB's that provides a basis for the edge field. The expansion coefficients (the beam's excitation amplitudes) account in a dyadic format for the polarization of the incident beam and also for its direction, displacement from the edge, collimation, and astigmatism. We derive exact expressions for these coefficients as well as simpler approximations that are valid uniformly as a function of the incident beam distance from the edge. The results of this paper provide essential building blocks for a BS representation of EM fields in complex configurations, where the source excited field is described as a sum of beam propagators, and the diffracted fields generated by propagators that hit near edges are also described using beams.Index Terms-Beam diffraction, beam-to-beam scattering matrix, beams summation method (BS), edge-diffraction, electromagnetic Gaussian beams (EM-GB), uniform asymptotics.

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“…Using this approach we calculate the scattered field exactly via the complex-source multipole expansion approach (Section III) and via the spectral (Sommerfeld) integral approach (Section IV), emphasizing the intricate details associated with the analytic continuation of these solutions to the complex source case. Further insight is provided by deriving asymptotic solutions via complex ray (CR) tracing [5] augmented by CR-GTD [6] (Section V) or by uniform diffraction solution (Section VI). The CR solution includes also selection rules that delineate the CR lit and shadow zones.…”

Section: Introductionmentioning

confidence: 99%