Influence of gradient-index medium on propagation property of complex variable sinh-Gaussian beam
-
1.
College of Engineering and Technology, Neijiang Normal University, Neijiang 641112, China;
-
2.
Institute of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610066, China
-
Received Date:
2014-07-27
Accepted Date:
2014-12-05
-
Abstract
In order to study influence of gradient-index medium on propagation property of complex variable sinh-Gaussian beam, propagation field of complex variable sinh-Gaussian beam in a gradient-index medium was deduced by means of generalized Huygens-Fresnel diffraction integral method. The expressions of spot size and its change rate were deduced by using the definitions of spatial second-order matrix. Then, the numerical stimulation and analysis were made. The results show that the spot size and its change rate changes with the increasing of propagation distance periodically and the periodical cycles are determined by gradient-index parameters. With the changing of beam parameters, the spot location and the periodical cycle are constant, but the oscillation amplitude of the spot size will change. The spot size and its location can be changed by adjusting these parameters. The study is helpful for development and application of high-power semiconductor lasers.
-
-
References
[1]
|
SICGMAN A E. Lasers [M].Los Angeles,California, USA: Univer- sity Science Books, 1986:586-589. |
[2]
|
BALLAV M, CHOWDHURY-CHAOS A R. A generalized nonlinear Schrdinger equation and optical soliton in a gradient index cylindrical media [J]. Solitons Fractals, 2007, 31(4):794-803. |
[3]
|
JOHN H, LORENZ S D. Web inspection using gradient-indexed optics [J].Proceedings of the IEEE, 2005, 41(6): 1476-1482. |
[4]
|
BALLAV M, CHOWDHURY A R.A generalized nonlinear schodinger equation and optical soliton in a gradient index cylindrical media[J]. Chaos Solitons and Fractals, 2007, 3l(4):794-803. |
[5]
|
YABLON A D, BISE R T. Low-loss high-strength microstructured fiber fusion splices using GRIN fiber lenses [J]. Proceedings of the IEEE, 2005, 17(1):118-120. |
[6]
|
SONG H Y, ZHANG T R, CHENG S H,et al. Propagation properties of flattened Gaussian beams in gradient-index medium[J]. High Power Laser and Particle Beams, 2011,23(10):2630-2633(in Chinese). |
[7]
|
SONG H Y, ZHANG T R, CHENG S H, et al. Propagation properties of cosine-Gaussian beams in gradient-index medium[J]. High Power Laser and Particle Beams,2011,23(4):890-894(in Chinese). |
[8]
|
ZHOU G Q. Propagation of Lorentz-Gaussian beams in gradient-index media [J].High Power Laser and Particle Beams, 2013, 25(1): 42-46(in Chinese). |
[9]
|
LIU L, HAO Z Q. Propagation of sinh-Gaussian beams in gradient-index medium [J].Laser Technology, 2013, 37(1):126-129(in Chinese). |
[10]
|
HUANG Y C, LI C J, ZHANG X L. Propagation properties of hollow Gaussian beams in Gradient-index media[J]. Laser Optoelectronics Progress, 2014,51(3):032601(in Chinese). |
[11]
|
CASPERSON L W, TOVAR A A. Hermite sinusoidal Gaussian beams in complex optical systems [J]. Journal of the Optical Society of America, 1998, A15(4):954-963. |
[12]
|
WANG L,KONG R X. Propagation properties of the elegant sinh-Gaussian beams[J]. Opto-Electronic Engineering, 2006, 33(2):45-49(in Chinese). |
[13]
|
COLLINS S A. Lens-system diffraction integral written in terms of matrix optics [J]. Journal of the Optical Society of America, 1970, 60(9):1168-1177. |
[14]
|
ERDELYI A, MAGNUS W,OBERHETTINGER F, et al. Tables of integral transforms[M]. New York, USA: McGraw Hill, 1954:856-859. |
-
-
Proportional views
-