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Volume 19 Issue 4
Jul.  1997
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Li Yucui . OBJECT-IMAGE TRANSFORMATION OF TWO ORTHOGONALLY POLARIZED OPTICAL BEAMS IN A NONLINEAR REVERSAL PARABOLIC GRADED-INDEX ROD LENS[J]. Journal of Electronics & Information Technology, 1997, 19(4): 503-509.
Citation: Li Yucui . OBJECT-IMAGE TRANSFORMATION OF TWO ORTHOGONALLY POLARIZED OPTICAL BEAMS IN A NONLINEAR REVERSAL PARABOLIC GRADED-INDEX ROD LENS[J]. Journal of Electronics & Information Technology, 1997, 19(4): 503-509.

OBJECT-IMAGE TRANSFORMATION OF TWO ORTHOGONALLY POLARIZED OPTICAL BEAMS IN A NONLINEAR REVERSAL PARABOLIC GRADED-INDEX ROD LENS

  • Received Date: 1995-09-27
  • Rev Recd Date: 1996-07-02
  • Publish Date: 1997-07-19
  • The nonlinear coupled differential equations of dimensionless beam width parameters of two Gaussian optical beams with orthogonal polarization in a family of Kerr-law nonlinear reversal parabolic graded-index rod lenses are derived by using a variational approach based on the scalar Maxwell s equations and then solved. The characteristics of fields in the rod lens and object-image transformation through the rod lens of two orthogonally polarized optical beams are investigated.
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  • Betts R A, Tjugiarto T, Xue Y L, et al. Nonlinear refractive index in erbium doped optical fiber: Theory and experiment. IEEE J. of QE, 1991, QE-27(4): 908-913.[2]Mears R J, Baker S R. Erbium fiber amplifiers and lasers[J].Opt. and Quant. Electron.1992, 24(5):517-538[3]刘德森,殷宗敏,祝颂来,等.纤维光学.北京:科学出版社,1987, 152-242.[4]Chen Z, Lai H. Imaging properties of Gaussian beams with a nonlinear graded-index rod lens[J].J. Opt. Soc. Am. B.1992, 9(12):2248-2251[5]Chen Z, Chen X, Lai H. Effect of beam power on imaging characteristics of Gaussian beams with a defocusing GRIN rod lens. IEE Proc.-J., 1992, 139(5): 309-312.[6]陈智浩,蔡声镇,何志贤.非线性锥形梯度折射率棒透镜的成象特性.光学学报,1993, 13(1): 68-72.[7]李育崔,陈智浩.高斯光束经非线性指数型发散梯度折射率棒透镜的成象公式.福州大学学报(自然科学版),1995, 23(4): 22-27.[8]agnon L, Pare C. Nonlinear radiation modes connected to parabolic graded-index profiles by the lens transformation[J].J. Opt. Soc. Am. A.1991, 8(4):601-607[9]Sammut R A, Pask C. Gaussian and equivalent-step-index approximations for nonlinear waveguides[J].J. Opt. Soc. Am. B.1991, 8(2):395-402[10]Yariv A. Introduction to Optical Electronics. New York: Holt.[J].Rinehart Winston.1976,:-[11]Gomez-Reino C, Sochacki J. Imaging and transforming capabilities of GRIN rods with noncylindrical surfaces of constant index: A family of exact solutions[J].Appl. Optics.1985, 24(24):4375-4378[12]Sodha M S, Ghatak A K. Inhomogeneous Optical Waveguides. New York: Plenum Press, 1977, Ch.5.[13]Ray J R, Reid J L. More exact invariants for the time-dependent harmonic oscillator. Phys. Lett., 1979, 71A(4): 317-318.
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