長週期光柵(Long-period grating, LPG)著重在基本波導模態(fundamental guided mode)和批覆層模態(cladding mode)之間的耦合特性。傳統上利用光纖來做長週期光柵會有幾何形狀和材料選擇上的限制，為了要消除光纖在製作上所面臨的限制和實現元件積體化，長週期波導光柵(Long period waveguide grating, LPWG)也因此被提出研究和實現。，然而隨著積體光學電路的進步，由於傳統的光柵濾波器之單一的工作波長已經無法應用於過濾多個波長的特殊頻譜需求，因此進而促使一些多波長的元件譬如像高密度分波多工系統(DWDM)的問世。但此類元件多半利用兩個或兩個以上的獨立濾波器去達到其工作需求，在後續的元件積體化整合上將會變得更加困難，但如果使用相移式(phase-shift)長週期光柵去達到兩個甚至以上的抑制頻帶則可滿足此需求。
在本論文中，我們成功地在矽基板上製作出長週期波導光柵元件，其光柵週期為Λ=5.52 μm。隨後量測得到長週期光柵元件最大對比度達到17.3dB，半高全寬(FWHM)為9.2nm，諧振波長量測得到1577nm，接近模擬所得到的結果。此外，這裡提出並且製作多個(M長週期光柵連結而成，由實驗可觀察到，區段(M)數目增加，兩主共抑制頻帶之間的旁瓣亦會增加為(M-2)個，與文獻理論相符合。

We propose a design of the long-period waveguide gratings (LPWGs) on silicon-on-insulator (SOI) substrates. In this work, SOI channel waveguides were defined and etched by ICP as core guiding layer. In addition, the cladding layer was realized by deposited TiO2 into the top surface of SOI film. The transmission spectra of these LPWGs were then measured with optical spectrum analyzer. The full-width at half-maximum(FWHM) is 9.2nm. The transmission dip contrast close to 17.3dB was observed at the wavelength of 1577nm. The phase-shifted long period gratings with a finite number (M) of sections cascaded together are proposed and fabricated. It is expected theoretically and to be later justified experimentally that an M-section phase-shifted long period grating would produce (M2) sidelobes between two dominant rejection bands, while the separation between the two rejection bands increases linearly with respect to M.

第一章
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第五章
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第六章
[1] K. S. Chiang, C. K. Chow, H. P. Chan, Q. Liu, and K. P. Lor, “Widely tunable polymer long-period waveguide grating with polarization insensitive resonance wavelength,”Electron. Lett., vol. 40, pp. 422–424, Apr. 2004.
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