| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 101 === To solve large-scale eigenvalue problems often require a lot of time, especially in the iterative process, the matrix-vector multiplication accounted for most of the time.In this thesis, our problem is from the three dimension photonic crystals of Maxwell’s equa- tion which is diamond structure.From previous studies in the question, we know that the dimension of null space, and then we will develop a new method for this problem. The purpose is that the original problem is projected to the non-zero invariant space, and us- ing FFT to quickly converge to the non-zero eigenvalues which we want. Finally,we will show the numerical result based on C program.
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