Limits of scalar diffraction theory for conducting gratings
- 10 April 1993
- journal article
- Published by Optica Publishing Group in Applied Optics
- Vol. 32 (11), 1948-1953
- https://doi.org/10.1364/ao.32.001948
Abstract
Scalar diffraction theory and electromagnetic vector theory are compared by analyzing plane-wave scattering by a perfectly conducting, rectangular-grooved grating. General field solutions for arbitrary angles of incidence are derived by using scalar and vector theories. Diffraction efficiencies for the scalar and the vector cases as functions of wavelength, grating period, and angles of incidence are determined numerically and plotted. When the wavelength of the incident field is much shorter than the grating period, the diffraction efficiencies match. But when the wavelength is of the order of the grating period, large differences between the scalar and the vector solutions emerge. One general conclusion is that, depending on polarization, scalar theory should not be used when the grating period becomes smaller than ten wavelengths.Keywords
This publication has 3 references indexed in Scilit:
- Dual series solution to the scattering of plane waves from a binary conducting gratingIEEE Transactions on Antennas and Propagation, 1989
- Relative phases of electromagnetic waves diffracted by a perfectly conducting rectangular-grooved gratingJournal of the Optical Society of America A, 1988
- Binary Fraunhofer Holograms, Generated by ComputerApplied Optics, 1967