Title :
Method to study diffraction from a stepped grating
Author :
Takakura, Yoshitate
Author_Institution :
Lab. des Syst. Photoniques, Univ. Louis Pasteur, Strasbourg, France
fDate :
11/1/1997 12:00:00 AM
Abstract :
The problem of diffraction from a perfectly conducting periodic surface is solved by means of a coordinate transformation followed by the application of the extinction theorem: an integral equation for the diffracted field is derived. Thanks to the particular feature of the kernel, the solution is written as a converging exponential expansion with its coefficients satisfying a recursion formula. The first term of recurrence can be calculated using one of the boundary conditions so that the problem is solved completely
Keywords :
convergence of numerical methods; diffraction gratings; electromagnetic wave diffraction; electromagnetic wave scattering; integral equations; boundary conditions; converging exponential expansion; coordinate transformation; diffracted field; diffraction; extinction theorem; integral equation; kernel; perfectly conducting periodic surface; recursion formula; stepped grating; Boundary conditions; Corrugated surfaces; Differential equations; Diffraction gratings; Eigenvalues and eigenfunctions; Filtering; Integral equations; Kernel; Resonance; Surface waves;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
