Fock theory--An appraisal and exposition

Goodrich, Raymond F.

doi:10.1109/tap.1959.1144761

Cited by 9 publications

(8 citation statements)

References 5 publications

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“…Goodrich [15] has generalized the • argument used by Pock in the penumbra region to anywhere in the shadow region by introducing a new set of variables, and ~, for the incremental distances along the path leading into the shadow region. In this generalization , the parameter ~ as defined in ( 12) is replaced by…”

Section: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~mentioning

confidence: 99%

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Source radiation in the presence of smooth convex bodies

Mittra¹,

Safavi-Naini²

1979

Radio Science

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The problem of radiation from sources in the presence of smooth, convex, impenetrable objects is considered, and a brief survey of various high frequency techniques is presented. A generalization of the geometrical theory of diffraction, and two new techniques based on the spectral domain approach and an asymptotic evaluation of the radiation integral for the surface current, also are discussed. Some numerical results derived from the spectral domain formulas are presented and a comparison with available theoretical and experimental data is included.

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Section: ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~mentioning

confidence: 99%

“…15. Let a magnetic dipole source be located at a point Q on S. We parametrize the surface S introducing a "geodetical polar coordinate" system with the pole located at Q such that an arbitrary point P 1 on the surface is defined by a …”

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confidence: 99%

Source radiation in the presence of smooth convex bodies

Mittra¹,

Safavi-Naini²

1979

Radio Science

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“…High-frequency electromagnetic interaction between a smooth convex surface (or its close vicinity) and remote regions of space has been a subject of extensive research [1][2][3][4][5][6][7][8][9][10]. This interaction is encountered in two mutually reciprocal processes : radiation of a source located on or near the surface and excitation of a field on or near the surface by an exterior wave.…”

Section: Introductionmentioning

confidence: 99%

“…It is the purpose of the present paper to extend Fock's theory into the shadow region in a purely deductive manner and without narrowing its original scope in other respects. It should be mentioned in this connection that various extensions of Fock's theory were considered in a number of works [3][4][5][6][7][8][9][10][11][12][13][14][15]. Two of them deserve special attention as the most far-reaching in the context of our paper.…”

Section: Introductionmentioning

confidence: 99%

High-Frequency Electromagnetic Fields Near a Smooth Convex Surface in the Shadow Region

Michaeli¹

1993

Journal of Electromagnetic Waves and Applications

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An asymptotic theory is developed for the electromagnetic field near a smooth convex, impedance or perfectly-conducting, surface in the shadow region of an incident ray-optical wave. The theory is based on Fock's postulates and represents an extension of his method of parabolic equations from penumbra to shadow. The new results include the cross-polarization effect for a torsional surface ray on an impedance surface and an adiabatic creeping mode solution for a ray with varying curvature on such a surface.

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“…According to Goodrich [7], the distance from the shadow boundary originally given in Fock's theory has been generalized to the arc length on the surface of the cylinder from the shadow boundary. Therefore, the magnetic field on the cylinder surface H z is given by I n " 2n,,…”

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confidence: 99%