• 作者： 劉叔平
• 作者服務機構： 中正理工學院應用物理系
• 中文摘要： 本文之目的在於建立一般平板型電介質光柵的嚴密耦波繞射理論。光柵之介電率可以是複數的與非均向性的，而其週期性調制可以具有三個線性獨立的常數光柵向量。此理論涵蓋了全像體光柵之光波繞射與晶體之X射線繞射。具有一個或兩個光柵向量的均向性或非均向性的平板型振幅及／或相光柵之現有耦波理論皆包含為特例。跟這些嚴密耦波分析一樣，其建立是由 Floquet-Bloch 定理之引導而非直接根據該定理。形式上求得之各階繞射振幅之精確解以矩陣型式直接表示。若截縮有關的無窮維矩陣，即可應用電子計算機求繞射效率之數值解。惟須要的計算機記憶與計算時間甚大。
• 英文摘要： A rigorous coupled-wave diffraction theory is constructed for general dielectric planar gratings. Thegrating's permittivity is complex, anisotropic, periodically space-modulated and characterized with threearbitrary linearly-independent constant grating vectors. This theory covers both optical-wave diffractionsfrom holographic volume gratings and X-ray diffractions from crystal lattices. As in all rigorous coupled-wave analyses, its formulation is guided by, rather than based directly upon, Floquet-Bloch theorem. Theexisting rigorous coupled-wave theories for either isotropic or anisotropic phase and/or amplitude dielectricplanar gratings with one or two constant grating vectors are recovered as special cases. The exact solutionof diffraction amplitudes of all orders is formally solved and explicitly expressed in matrix form. Bytruncating the infinite matrices involved, numerical calculations of diffraction efficiencies can be imple-mented on computers. But large computer storage and execution time will be required.
• 中文關鍵字： difraction; grating; rigorous coupled-wave theory; three-dimensional periodic modulation
• 英文關鍵字： --