Theory of Diffraction and Scattering from Periodic Surfaces with Binary Fluctuations

服部, 一裕, Kazuhiro, Hattori

type:Thesis

This thesis studies the wave diffraction and scattering from periodic surfaces with binary fluctuations. Firstly, we study the scattering of a TE and a TM plane wave from a periodic grating with single defect, where a groove is not formed and its position is known. We represent the scattered wave and the field inside grooves as a variation from the diffracted wave for the perfectly periodic case, and then numerically determine the scattered wave by use of truncation and the iteration method. A new representation of optical theorem is obtained. The differential scattering cross section and optical theorem are calculated in terms of the scattering amplitude. It is found that incoherent Wood's anomaly appears at critical angles of scattering for the TM case. Secondly, we discuss the diffraction and scattering of a TE and a TM plane wave from a binary periodic random surface generated by a stochastic binary sequence by means of a stochastic functional approach. The scattered wave is first expressed by a product of an exponential phase factor and a periodic stationary process, which are represented by orthogonal binary functional expansions with binary kernels. Then, hierarchical equations for the binary kernels are derived from the boundary conditions without approximation. For the TM case, such binary kernels are obtained by use of the multiply renormalizing approximation. Statistical properties such as differential scattering cross section and optical theorem are numerically calculated with first two or three order binary kernels. It is found that, for the TE case, the second order scattering becomes much smaller than the first order, and for the TM case, incoherent Wood's anomaly appears in the angular distribution of scattering even when the surface has zero average.

所属：大学院工芸科学研究科博士後期課程　情報・生産科学専攻；取得学位：博士（学術）; 　学位授与年月日：2008-03-25 ; 証書番号：博甲第５０５号

博士論文

Theory of Diffraction and Scattering from Periodic Surfaces with Binary Fluctuations

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