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Journal ArticleDOI

MTPO based potential function of the boundary diffraction wave theory

Yusuf Ziya Umul
- 01 Sep 2008 - 
- Vol. 40, Iss: 6, pp 769-774
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TLDR
In this article, a potential function is introduced by using the modified theory of physical optics integrals for a perfectly conducting half-plane for diffraction of plane waves by an opaque halfplane for oblique incidence.
Abstract
A novel potential function is introduced by using the modified theory of physical optics integrals for a perfectly conducting half-plane. The function is valid for arbitrary aspects of observation. The line integration of these functions gives the total scattered fields. The method is applied to the problem of diffraction of plane waves by an opaque half-plane for oblique incidence.

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Citations
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Journal ArticleDOI

Modified diffraction theory of Kirchhoff

TL;DR: The diffraction theory of Kirchhoff is reinterpreted and a new form of a surface diffraction integral is developed by using the axioms of the modified theory of physical optics, which leads to the exact scattered fields by conducting bodies.
Journal ArticleDOI

Integral representation of the edge diffracted waves along the ray path of the transition region.

TL;DR: In this paper, the expression of the edge diffracted fields, in terms of the Fresnel integral, is transformed into a path integral, which considers the integration of the incident field along the ray path of the transition region.
Journal ArticleDOI

Young-Kirchhoff-Rubinowicz theory of diffraction in the light of Sommerfeld's solution

TL;DR: In this paper, the authors derived the Kirchhoff theory of diffraction by transforming the exact solution of Sommerfeld into surface integrals for the half-plane problem, which directly yields the integral theorem of Girchhoff in the context of modified diffraction theory.
Journal ArticleDOI

Uniform scattered fields of the extended theory of boundary diffraction wave for pec surfaces

TL;DR: In this paper, a new vector potential of the boundary difiraction wave is found by considering the Fermat principle for the PEC surfaces and applying it to the uniform scattered flelds from a perfectly conducting (PEC) half plane.
Journal ArticleDOI

Diffraction of cylindrical waves by a perfectly conducting half‐screen: A modified theory of physical optics solution

TL;DR: In this paper, the scattering problem of waves, radiated by a line source, is investigated by the method of modified theory of physical optics and the solution is obtained for both of the Dirichlet and Neumann boundary conditions.
References
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Journal ArticleDOI

Geometrical Theory of Diffraction

TL;DR: The mathematical justification of the theory on the basis of electromagnetic theory is described, and the applicability of this theory, or a modification of it, to other branches of physics is explained.
Journal ArticleDOI

A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface

TL;DR: In this article, a compact dyadic diffraction coefficient for electromagnetic waves obliquely incident on a curved edse formed by perfectly conducting curved plane surfaces is obtained, which is based on Keller's method of the canonical problem, which in this case is the perfectly conducting wedge illuminated by cylindrical, conical, and spherical waves.
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Equivalent edge currents for arbitrary aspects of observation

TL;DR: In this article, the authors derived explicit expressions for equivalent edge currents for an arbitrary local wedge angle and arbitrary directions of illumination and observation, based on an asymptotic relationship between the surface radiation integral of the physical theory of diffraction and the line radiation integral.
Journal ArticleDOI

Generalization of the maggi-rubinowicz theory of the boundary diffraction wave part I

TL;DR: In this article, a new vector potential W(Q,P) is associated with any monochromatic scalar wavefield U(P), which has the property that the normal component of its curl, taken with respect to the coordinates of any point Q on a closed surface S surrounding a field point P, is equal to the integrand of the Helmholtz-Kirchhoff integral.