隨著微奈米尺度製程技術的不斷突破，可得到的結構更加的複雜且多樣化，於能源轉換與光學元件具有極大應用價值。故本文以微奈米週期結構和具微奈米尺度隨機粗糙表面為焦點，希望建立其光學及輻射性質數值模擬的能力，進而節省實際製作與量測的成本，或開發更多潛在應用。
研究內容是以有限差分時域(Finite Difference Time Domain, FDTD)理論為基礎撰寫Fortran程式，主要貢獻包括：一、成功重現已知文獻中，一維、二維週期結構及隨機粗糙表面之輻射性質。二、在給定粗糙表面高度的標準差和相關聯長度之條件下，可成功建立一維、二維隨機粗糙表面。三、將FDTD結合複合單元細胞法(multiple unit cell method)，成功模擬週期結構在< 60°斜向入射之輻射性質。

The advancements in micro/nano fabrication make it feasible to obtain complex and diverse structures, which have great potentials in energy conversion and optical elements. Therefore, this work focuses on the numerical ability development for optical and radiative properties of micro/nano periodic structures and random rough surfaces. It is hoped that the success of the work not only saves the cost of fabrication but also measurement or develop potential applications.
Here, I developed the Fortran programs based on the finite difference time domain (FDTD) method. The main contributions of this thesis are listed below. First, obtained radiative properties of 1D and 2D periodic structures as well as those of random rough surfaces agree well with those from published literatures. Second, programs were also established for 1D and 2D random rough surface generation such that the standard deviation and correlation length of rough surface height can be controlled. Third, makes it feasible to acquire radiative properties of periodic structures for the zenith angle up to 60 degrees combining FDTD method with multiple unit cell method.

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