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Title: Development of hybrid PSTD methods and their application to the analysis of fresnel zone plates
Keywords: Hybrid Method, Pseudo-Spectral Method, Finite Element Method, Finite Difference Method, Fast Multipole Method, Fresnel Zone Plate
Issue Date: 30-Jan-2009
Citation: FAN YIJING (2009-01-30). Development of hybrid PSTD methods and their application to the analysis of fresnel zone plates. ScholarBank@NUS Repository.
Abstract: This thesis develops three improved Pseudo-Spectral Time Domain (PSTD) methods: TDFEM-PSTD, PSTD-FDTD, and FMM-PSTD. Hybrid methods TDFEM-PSTD and FDTD-PSTD are developed to improve the accuracy of the PSTD method when dealing with curved or fine objects. The new FMM-PSTD method is also proposed in this thesis to reduce the wraparound effect and Gibb's phenomenon in traditional PSTD method. The concept and development of these improved methods are explained. The performance of these methods is examined in numerical examples. The advantages of these methods are validated by comparing with the traditional PSTD method and analytical solutions. One of the improved methods PSTD-FDTD is expanded to 3D and implemented to analyze Fresnel zone plate diffraction problems as a practical implementation. Similar accuracy and better efficiency are achieved as compared to the traditional Kirchhoff's Diffraction Integral method.
Appears in Collections:Ph.D Theses (Open)

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