VECTOR-DIFFRACTION ANALYSIS OF FINITE PERFECTLY CONDUCTING GRATINGS WITH ARBITRARY PROFILES
Keywords:Diffraction gratings, diffractive-optics devices, vector diffraction theory
A vector diffraction formulation for the analysis of perfectly conducting gratings of finite width and thickness is presented. The grating is assumed to have a finite number of infinitely-long arbitrarily-shaped grooves, and is illuminated by an arbitrary plane wave. Electric and magnetic field integral equations are used to solve, exactly (in a numerical sense), the corresponding TM and TE electromagnetic problems. The capability of the formulation is demonstrated by analyzing and optimizing a grating-type polarizer with non-identical triangular grooves.
R. Petit (editor), Electromagnetic Theory of Gratings, (Springer-Verlag, Berlin, 1980).
R. F. Harrington, Field Computation by Moment Methods, (IEEE Press, New York, 1993).
R. Mittra (editor), Computer Techniques for Electromagnetics, (Taylor & Francis, Bristol, 1987).
A. Wirgin and R. Deleuil,"Theoretical and experimental investigation of a new type of blazed grating," J. Opt. Soc. Am. 59, 1348-1357 (1969).
Y. L. Kok and N. C. Gallagher, "Relative phases of electromagnetic waves diffracted by a perfectly conducting rectangular-grooved grating," J. Opt. Soc. Am. A 5, 65-73 (1988).
S. Jovicevic and S. Sesnic, "Diffraction of a parallel- and perpendicular-polarized wave from an echelette grating," J. Opt. Soc. Am. A 62, 865-877 (1972).
P. Facq, "Diffraction par des structures cylindriques périodiques limitées," Annales des Télécommunications 31, 99-107 (1976).
T. J. Park, H. J. Eom, and K. Yoshitomi, "Analysis of TM scattering from finite rectangular grooves in a conducting plane," J. Opt. Soc. Am. A 10, 905-911 (1993).
E. E. Kriezis, P. K. Pandelakis, and A. G. Papagiannakis, "Diffraction of a Gaussian beam from a periodic planar screen," J. Opt. Soc. Am. A 11, 630-636 (1994).
F. J. S. Moreira and Aluizio Prata, Jr., "Optimum strut cross sections for reflector antenna applications," Technical Report, Dept. Elect. Engineering, University of Southern California (1993).
W. V. T. Rusch, J. Appel-Hansen, C. A. Klein, and R. Mittra, "Forward scattering from square cylinders in the resonance region with application to aperture blockage," IEEE Trans. Antennas and Propagat. AP-24, 182-189 (1976).
E. V. Jull and J. W. Heath, "Reflection grating polarizers," IEEE Trans. Antennas and Propagat. AP-28, 586-588 (1980).
R. Lampe, P. Klock, and P. Mayes, "Integral transforms useful for the accelerated summation of periodic, free-space Green's functions," IEEE Trans. Microwave Theory Tech. MTT-33, 734-736 (1985).
R. E. Jorgenson and R. Mittra, "Efficient calculation of the free-space periodic Green's function," IEEE Trans. Antennas and Propagat. 38, 633-642 (1990).