DIFFRACTION BY A PERIODICALLY APERTURED CONDUCTING SCREEN
Abstract
A rigorous solution is presented of the boundary value problem of diffraction of a plane electromagnetic wave by a conducting plane screen containing s doubly periodic array of square apertures. The electric field in a square aperture is evaluated for several values of aperture width. The solution is valid for a range of dimensions which includes the aperture resonance region. The magnitude and phase of the voltage transmission coefficient are evaluated from the aperture field, and are found to exhibit a resonance for ka approximates or equals 1.5 where k is the wave number and a the aperture width. The problem has been formulated in terms of an integral equation, starting from the differentialintegral equation method of Copson. The integral equation is then solved for the case in which the boundaries are periodic over a plane, by use of a periodic Green's function. The solution for the aperture field is obtained as a rapidly convergent series of functions. This solution is valid for normally incident excitation and for aperture spacing less than a wavelength. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1961
- Accession Number
- AD0253950
Entities
People
- Akira Ishimaru
- Gedalia Held
- Richard B. Kieburtz
Organizations
- University of Washington