CONTINUOUS FOURIER-TRANSFORM SPLINE SOLUTION OF UNSTABLE RESONATOR-FIELD DISTRIBUTION

被引:7
作者
LAX, M
AGRAWAL, GP
LOUISELL, WH
机构
[1] Physics Department, Bell Laboratories, Murray Hill, NJ
[2] Physics Department, The City College of the City University of New York, New York, NY
[3] Physics Department, University of Southern California, Los Angeles, CA
关键词
D O I
10.1364/OL.4.000303
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
To deal with sharply cut off fields at mirror edges, a continuous Fourier integration procedure is described. A spline fit is made to the discrete data, followed by analytic integration of the spline functions. End corrections associated with the difference between spline functions near the edges and the remaining uniform splines are made. This procedure permits an accurate integration of the paraxial equation in the thin-gain-sheet approximation. © 1979, Optical Society of America.
引用
收藏
页码:303 / 305
页数:3
相关论文
共 10 条
[1]  
Siegman A.E., Unstable optical resonators, Appl. Opt., 13, pp. 353-367, (1974)
[2]  
Horwitz P., Asymptotic theory of unstable resonator modes, J. Opt. Soc. Am., 63, pp. 1528-1543, (1973)
[3]  
Fox A.G., Li T., Resonant modes in a maser interferometer, Bell. Syst. Tech. J., 40, (1961)
[4]  
Rensh D.B., Chester A.N., Iterative diffraction calculations of transverse mode distributions in confocal unstable laser resonators, Appl. Opt., 12, pp. 997-1000, (1973)
[5]  
Moore G.T., McCarthy R.J., Theory of modes in a loaded strip confocal unstable resonator, J. Opt. Soc. Am., 67, pp. 228-241, (1977)
[6]  
Sziklas E.A., Siegman A.E., Mode calculations in unstable resonators with flowing saturable gain, 2: Fast Fourier transform method, Appl. Opt., 14, pp. 1874-1889, (1975)
[7]  
Schoenberg I.J., Contributions to the problem of approximation of equidistant data by analytic functions, Q. Appl. Math., 4, (1946)
[8]  
Boor C.D., On calculating with B-splines, J. Approx. Theory, 6, pp. 50-62, (1972)
[9]  
Package for calculating with B -splines, SIAM J. Numerical Anal., 14, pp. 441-472, (1977)
[10]  
Jeffreys H., Jeffreys B.S., Methods of Mathematical Physics, (1978)