本論文中，我們採用動態時空模型的解法，來模擬光脈波在具增益飽和與增益色散效應之多模干涉半導體光放大器內之動態行為。有關單一脈波之傳播、兩脈波對向之傳播，我們均以數值方法作有系統的探討。藉由適當的設計，在光放大器內增益飽和與增益色散現象的交互作用下，脈波經往返數次碰撞後，增益色散現象將有效減緩脈波的壓縮。接著為了將半導體光放大器應用至光通訊之波長轉換，我們改進既有的耦合器架構，並重新設計一多模干涉半導體光放大器，模擬不同長度下，此多模干涉半導體光放大器作波長轉換的效能，並分析輸出訊號的品質及反應速率。接著我們亦觀察訊號的動態輸出特性，並探討雜訊對輸出訊號的影響。

By using the time-domain traveling-wave model, we simulate the dynamics of optical pulse propagation in a multimode-interference semiconductor for optical amplifier (MMI SOA) in which the gain saturation and gain dispersion effects are important. Through appropriate designs for single-pulse propagation and two-pulse collision, the effects are numerically investigated. It is found that the compression of pulse, which is due to gain saturation, can be slowed down by the effect of gain dispersion. For the application to wavelength conversion in optical communication, we improve the existent coupler structure and redesign our MMI SOA. By varying the parameters of the MMI SOA in simulation, we analyze the quality of the output signal and investigate the response rate of our device. The dynamic behavior (frequency chirp) of the output signal and the effect of noise are also numerically simulated.

第一章 簡介……………………………………………………………1
第二章 理論推導………………………………………………………4
2.1 光脈波在多模干涉半導體光放大器內傳播的情況…………4
2.2 載子密度變率方程式…………………………………………6
2.3 具增益色散之多模干涉半導體光放大器內兩脈波對撞之傳播方程
式…………………………………………………………9
2.4 功率分配與組合………………………………………………11
第三章 數值法則………………………………………………………16
3.1 具增益色散之多模干涉半導體光放大器內傳播方程式之數值
解………………………………………………………………16
3.2 利用多模干涉半導體光放大器作波長轉換之數值解………21
第四章 模擬結果………………………………………………………29
4.1 增益色散 ………………………………………………………29
4.1.1 單脈波在MMI SOA內傳播 ………………………………30
4.1.2 雙脈波在MMI SOA內對向傳播 …………………………30
4.2 波長轉換 ……………………………………………………31
4.2.1 波長轉換之模擬分析 …………………………………32
4.2.2 雜訊對波長轉換之影響 ………………………………34
第五章 結論…………………………………………………………60
附錄 …………………………………………………………………61
參考文獻 ……………………………………………………………63

[1] B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics,
New York: John Wiley & Sons, 1991.
[2] R. G. Hunsperger, ed., Photonic Devices and Systems, New
York: Marcel Dekker, 1994.
[3] H.Ghafouri-Shiraz, Fundamentals of Laser Diode Amplifiers,
Chichester: John Wiley & Sons, 1996.
[4] M. Y. Hong, Y. H. Chang, A. Diences, J. P. Heritage and P.
J. Delfyett, “Subpicosecond pulse amplification in
semiconductor laser amplifiers: theory and experiment,”
IEEE J. Quantum Electron., vol. 30, pp. 1122-1131,1994.
[5] B. Dagens, S. Balsamo and I. Montrosset, “Picosecond pulse
amplification in AlGaAs flared amplifiers,” IEEE Select.
Topics Quantum Electron., vol. 3, pp. 233-244, 1997.
[6] J. M. Tang and K. A. Shore, “Strong picosecond optical
pulse propagation in semiconductor optical amplifiers at
transparency,” IEEE J. Quantum Electron., vol. 34, pp. 1263-1269, 1998.
[7] G. P. Agrawal, and N. A. Olsson, “Self-phase modulation and spectral broadening of optical pulses in semiconductor laser amplifiers,” IEEE J, Quantum Electron., vol. 25, pp. 2297-2306, 1989.
[8] G. P. Agrawal, “Effect of gain dispersion on ultrashort pulse amplification in semiconductor laser amplifiers,” IEEE J, Quantum Electron., vol. 27, pp. 1843-1849, 1994.
[9] 陳志強, “多模干涉波導光放大器中脈波對向傳播之模擬,” 台灣大學電信研究所碩士論文, 1998.
[10] T. Durhuus, B. Mikkelsen, C. Joergensen, and K. E. Stubkjaer, “All-optical wavelength conversion by semiconductor optical amplifier,” J. lightwave Technol., vol. 14, pp. 942-952, 1996.
[11] S. L. Danielsen, C. Joergensen, M. Vaa, B. Mikkelsen, K. E. Stubkjacer, P. Doussiere, F. Pommerau, L. Goldstein, R. Ngo, and M. Goiz, “Bit error assessment of 40 G bit/s all-optical polarization independent wavelength converter,” Electron. Lett., vol. 32, pp. 1688-1689, 1996.
[12] M. C. Tatham, “20 nm optical wavelength conversion using non-degenerate four-wave-mixing,” IEEE Photon. Technol. Lett., vol. 5, pp. 1303-1306, 1993.
[13] B. Ma and Y. Nakano, “Realization of all-optical wavelength converter based on directionally-coupled semiconductor optical amplifiers,” IEEE Photon. Technol. Lett., vol. 11, pp. 188-190, 1999.
[14] M. Saitoh, B. Ma, and Y. Nakano, “Static and dynamic characteristics analysis of all-optical wavelength conversion using directionally coupled semiconductor optical amplifiers,” IEEE J. Quantum Electron., vol. 36, pp. 984-990, 2000.
[15] K. Inoue, “Noise transfer characteristics in wavelength conversion based on cross-gain saturation in a semiconductor optical amplifier,” IEEE Photon. Technol. Lett., vol. 8, pp. 888-890, 1996.
[16] D.Cassioli, S. scotti, and A. Mecozzi, “A time-domain computer simulator of the nonlinear response of semiconductor optical amplifiers,” IEEE J. Quantum Electron., vol. 36, pp. 1072-1080, 2000.
[17] S. I. Pegg, M. J. Foce, M. J. Adams, and A. Hadjifotiou, “Noise in wavelength conversion by cross-gain modulation in a semiconductor optical amplifier,” IEEE Photon. Technol. Lett., vol. 11, pp. 724-726, 1999.