Diffraction of Electromagnetic Waves by a Circular Aperture in an Infinitely Conducting Plane Screen

1965 ◽  
Vol 13 (2) ◽  
pp. 558-585 ◽  
Author(s):  
J. Bazer ◽  
L. Rubenfeld
1969 ◽  
Vol 47 (8) ◽  
pp. 921-930 ◽  
Author(s):  
D. P. Thomas

The problem of diffraction of time harmonic, electromagnetic waves by a circular aperture in a perfectly conducting, plane screen between different media is considered. In this investigation, the incident wave is a plane wave travelling in a direction perpendicular to the screen. A Hertz vector formulation is used to reduce the electromagnetic problem to a system of scalar problems, which is shown to be governed by a pair of simultaneous integral equations of the second kind. The integral equations are valid for all wavelengths and are especially useful when the waves in both media have long wavelengths compared with the radius of the aperture. Low frequency approximations to the tangential components of the electric field in the aperture, the transmission coefficient, and the backscatter coefficient are obtained.


The integral-equation method of solving the problem of the diffraction of electromagnetic waves by a perfectly conducting plane screen has been criticized by C. J. Bouwkamp, who claims that it is valid only when certain boundary conditions are satisfied on the edge of the screen. This criticism is answered. It is also shown that, since the equations to be solved are differential-integral equations, an arbitrary function arises in the solution and that this arbitrary function may be chosen so that, although there are singularities at the edge of the screen, there is no radiation of energy from the edge. As an illustration, the three-dimensional problem of diffraction by a half-plane is solved.


1955 ◽  
Vol 33 (7) ◽  
pp. 383-390 ◽  
Author(s):  
James R. Wait

One method for solving boundary value problems involving imperfectly conducting media is to assume, for a first approximation, that the surface currents are the same as if the media were perfectly conducting. Using this type of approximation, the problem of a line source of current situated over a plane surface, with a simple type of mixed boundary condition, is solved. For purposes of comparison the situation of an imperfectly conducting or "lossy" strip on au otherwise perfectly conducting plane surface is treated by an exact method employing elliptic wave functions. The calculations of the scattered fields of the strip by the two methods indicate the extent of the validity of the initial assumption in the approximate procedure.


2016 ◽  
Vol 11 (2) ◽  
pp. 92-100
Author(s):  
Mikhail Zakharov

In the framework of the scalar theory of diffraction of normally incident plane monochromatic wave, the intensity distribution of the diffraction field along the axis of an annular hole was found. As particular cases, the diffraction at an opaque circular disk of radius R ب λ (λ is the wavelength) and at a circular aperture in an opaque screen was considered. Accounting for the vector nature of the field of electromagnetic waves led to more correct results, including at large angles of diffraction, i.e. at sufficiently small distances from the screen (smaller and of order R), where the scalar theory, as it is known, not applicable.


2013 ◽  
Vol 33 (7) ◽  
pp. 526-542
Author(s):  
Dong Yeop Na ◽  
Ji Hyung Kim ◽  
Yong Bae Park ◽  
Kyung-Young Jung

Sign in / Sign up

Export Citation Format

Share Document