利用疊代法計算雷射共振腔內之光束分佈

Calculating the Beam Spot-size in a Laser Cavity by an Iterative Method

10.29688/MHJ.200707.0016

楊寶賡(P. K Yang)；張家豪(C. H. Chang)

雷射共振腔 ； 雷射光束 ； 疊代法 ； resonator ； laser beam ； iterative method

明新學報

33期（2007 / 07 / 01）

267 - 274

繁體中文

本文主要說明如何利用疊代法計算雷射光束在共振腔內光強度分佈，我們先分析高斯光束的情形，發現只要對於滿足穩定條件的共振腔，我們總是可以使疊代步驟收歛。若共振腔不穩定，則疊代步驟將不收斂。由研究分析結果可知在某些穩定條件下的收斂速度較快。我們的方法的重要性是可以結合光繞射公式推廣至非高斯光束的情形，也就是對於共振腔中包含一些無法寫成ABCD傳輸矩陣的光學元件（如洞孔）的情形一樣適用。

We demonstrated the feasibility of calculating the beam spot-size of a Gaussian beam in a laser cavity by an iterative method. The procedure will not converge as long as the cavity is unstable. In some stable region, the procedure was found to converge fast. Our method can be generalized to deal with non-Gaussian beams to which the traditional ABCD-matrix method becomes inapplicable.

1. B. E. A.Saleh,M. C.Teich(1991).Fundamental of Photonics.New York:John Wiley&Sonns, Inc..
2. C. Roddier,F. Roddier(1993).Appl. Optics.
3. G. Cerullo,G. De Silvestri,A. Monguzzi,D. Segala,V. Magni(1995).Opt. Lett.
4. G. R. Fowles(1975).Introduction to Modern Optics.New York:Holt, Rinehart and Winston Inc..
5. Gabetta, D.,Huang, J.,Jacobson, M.,Ramaswamy, E.,P. Ippen,J. G. Fujimoto(1991).Opt. Lett.
6. H. A. Huas,N. Holonyak, (ed.)(1984).Waves and Fields in Optoelectronics.Prentice-Hall series in solid state physical electronics.
7. J. R. Fienup(1978).Opt. Lett.
8. P. K. Yang,J. Y. Huang(2000).Opt. Comm.
9. P. Laporta,M. Brussard,J. Quan.(1991).Elec.
10. R. Tommasini,F. Lowenthal,J. E. Balmer,H. P. Weber(1998).Optics Communication.
11. S. Matsuoka,K. Yamakawa(1999).Jpn. J. Appl. Phys.