Propagation properties of Gaussian beams through a nonlinear gradient-index lens
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College of Science, Southwest Jiaotong University, Chengdu 610031, China;
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College of Electronics Engineering, Sichuan Normal University, Chengdu 610066, China;
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Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China
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Received Date:
2003-07-23
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Abstract
Based on the aberrationless theory of self-focusing,the closed-form propagation expressions for Gaussian beams through a nonlinear gradient-index medium are derived by means of the ABCD law.By using the matrix optics method,the propagation properties of Gaussian beams through a nonlinear gradient-index lens are studied.It is shown that the nonlinearity and inhomogeneity of the medium,laser power and input beam parameter affect their propagation properties.
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References
[1]
|
MARCHAND E W,NISHIHARA H.Gradient-index optics:introduction by the feature editors[J].Appl Opt,1990,29:3991~3997. |
[2]
|
SUN X H,MA H,MING H et al.Experimental and theory analysis of Gradient-index lens Diffraction by matrix optics[J].Chinese Phys Lett,2003,20(3):374~376. |
[3]
|
CHEN Z H,LAI H.Imaging properties of Gaussian beams with a nonlinear graded-index rod lens[J].J O S A,1992,B9(12):2248~2251. |
[4]
|
ANDERSON D,BONNEDAL M.Variational approach to nonlinear self-focusing of Gaussian laser beams[J].Phys Fluids,1979,22(1):105~109. |
[5]
|
BELANGER P,PARE C.Self-focusing of Gaussian beams:an alternate derivation[J].Appl Opt,1983,22(9):1293~1295. |
[6]
|
PORRAS M A,ALDA J,BERNABEU E.Nonlinear propagation and transformation of arbitrary laser beams by means of the generalized ABCD formalism[J].Appl Opt,1993,32(30):5885~5891. |
[7]
|
FEIT M D,FLECK J A.Beam nonparaxiality,filament formation,and beam breakup in the self-focusing of optical beams[J].J O S A,1988,B5(3):633~640. |
[8]
|
MAGNI V,CCEULLO G,SILVESTRI S D.ABCD matrix analysis of propagation of gaussian beams through Kerr media[J].Opt Commun,1993,96(4~6):348~355. |
[9]
|
文双春,范滇元.梯度折射率介质中高斯光束非线性传输特性[J].强激光与粒子束,2000,12(6):657~660.
|
[10]
|
吕百达.激光光学—激光束的传输变换和光束质量控制[M].2版,成都:四川大学出版社,1992.85~97.
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Proportional views
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