Abstract
This paper discusses the diffraction of an electromagnetic wave at a grating
consisting of parallel dielectric bars with the cross section of a regular polygon. The
problem is solved by the method of integral equations. The logarithmic singularity of
the kernel of the integral equation is separated out in explicit form, and this makes it
possible to use quadrature formulas of the highest accuracy and to reduce the integral
equation to a system of linear algebraic equations. The result of these analytic
transformations is good convergence of the algorithm. This paper presents the angular
and spectral dependences of the transmittance obtained by means of the described
algorithm for various shapes of the cross section of the dielectric bars.
© 2008 Optical Society of America
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