在本篇論文當中，我們利用高分子材料SU-8，以Y型分支結構為基礎來進行波導元件的設計與模擬，主要希望設計出適用於工作波長850nm之多模光纖波長多工耦合器，其元件主要運用於通訊晶片。我們分別提出兩種不同結構的1×8耦合器，並且運用模擬軟體 TracePro，針對不同結構之多模耦合器進行模擬，接著運用模擬軟體BeamPROP，取其兩種結構1×4部分，觀察其結構於單模的適用性。
最後將模擬結果進行分析及討論，此耦合器在結構與尺寸不同之傳輸損耗探討，以分貝(dB)為單位，分析光源通過此耦合器每階段所產生的損耗，與此波導元件運用於多模傳輸之光入射角度與出射角度分析探討。
在發射光源半角0° 、4° 、8° 、10°，結構一1×8多模耦合器，最低損耗值(對應之耦合效率)分別可達到0dB (100%)、-0.12dB (97.32%)、-0.94dB (80.55%)、-1.44dB (71.79%)，而於結構二，則分別可達到0dB (100%)、-0.13dB (97.15%)、-0.9dB (81.8%)、-1.42dB (72.13%)；結構一1×4單模耦合器，在工作波長850nm及1550nm，其最低損耗值(對應之耦合效率)分別達到-6.43dB (22.75%)及-6.2dB (24.01%)，而結構二則分別可以達到-6.66dB (21.57%)及-6.35dB (23.16%)。
本研究結果顯示，此設計可達到八波長之多工混波耦合於單一波導通道。

In this paper, in order to model the optical fiber wavelength multiplexer coupler used in 850nm wavelength, we design a waveguide device based on Y-branches structure of SU-8 polymer materials. This component is mainly used as an optical communication chip. Two types of 1×8 couplers with different structures were modeled and simulated by a ray tracing software TracePro for multi-mode coupling. For the single mode coupling, due to the wave mature, we use the software BeamPROP to simulate the beam propagation inside the waveguide channel of a 1×4 coupler.
The result obtained from the simulation is used to analyze the coupling loss of the designed structures. The dependence of the exit beam angular distribution on the incident beam is also obtained from the analysis of the simulation result.
For the type one multi-mode 1×8 coupler, the minimal coupling losses (maximal coupling efficiencies) for the 0°, 4°, 8°, 10° half divergence are 0dB (100%), -0.12dB (97.32%), -0.94dB (80.55%), -1.44dB (71.79%), respectively. For the type two multi-mode 1×8 coupler, the minimal coupling losses (maximal coupling efficiencies) for the 0°, 4°, 8°, 10° half divergence are 0dB (100%), -0.13dB (97.15%), -0.9dB (81.8%), -1.42dB (72.13%), respectively. For the type one single mode 1×4 coupler, the minimal coupling losses (maximal coupling efficiencies) for 850 nm and 1550 nm wavelength are -6.43dB (22.75%) and -6.2dB (24.01%), respectively. For the type two single mode 1×4 coupler, the minimal coupling losses (maximal coupling efficiencies) for 850 nm and 1550 nm wavelength are -6.66dB (21.57%) and -6.35dB (23.16%), respectively.
The result shows our design is capable of performing multiplexing of eight wavelengths into a single waveguide channel.

[1] Stewart E. Miller,“Integrated Optics: An Introduction,”THE BELL SYSTEM
TECHNICAL JOURNAL, Vol. 48, pp. 2059-2069 (1969).
[2] Casey F. Kane and Robert R. Krchnavek,“Benzocyclobutene Optical
Waveguides,”IEEE Photonics Technology Letters, Vol. 7, No. 5, pp. 535-537
(1995).
[3] 李銘淵，光纖通信概論，全華圖書 (1989)。
[4] Rsoft Design Group, BeamPROP user menu, chapter 1, pp. 4-17.
[5] J. A. Fleck, Jr., J. R. Morris, and M. D. Feit,
“Time-dependentpropagation of high energy laser beams through the
atmosphere,” J.Appl. Phys., 10. pp. 129-160 (1976).
[6] 盧廷昌、王興宗，半導體雷射技術，五南圖書 (2010)。
[7] Joseph C. Palais著，董德國、陳萬清譯，光纖通訊，東華書局出版(2003)。
[8] SUM TZE CHIEN, “Waveguide fabrication using proton beam writing,” ph.D
dissertation, National University of Singapore, Kent Ridge, Singapore
(2005).