Split-step fourier methods applied to model nonlinear refractive effects in optically thick media

We describe and example the Beam Propagation Method (BPM) used to model and simulate nonlinear refractive and absorptive effects in materials with applications to optical limiting and switching. Various scenarios including laser-beam trapping and laser-beam division are investigated, in order to demonstrate the power of the BPM. A novel technique is also described for efficiently modelling the external far-field propagation from nonlinear media, including the propagation of non-Gaussian-shaped spatial profiles. The methods are finally combined with the phenomenon of nonlinear absorption to demonstrate enhanced power limiting in the presence of self-refraction. Optimal parameters for high-fluence power-limiting are subsequently discussed.

[1]  Mukesh P. Joshi,et al.  Investigation of optical limiting in C60 solution , 1993 .

[2]  M. J. Soileau,et al.  Optical switching and n2 measurements in CS2 , 1984 .

[3]  M. Gordon,et al.  Nature of the Transition Metal-Silicon Double Bond , 1992 .

[4]  Shammai Speiser,et al.  Photoquenching parameters for commonly used laser dyes , 1985 .

[5]  F. Lederer,et al.  Nonlinear switching in coupled antiresonant reflecting optical waveguides , 1991 .

[6]  A. Smirl,et al.  Picosecond reverse saturable absorption in King's complex [(C5H5)Fe(CO)]4 , 1992 .

[7]  F. Lederer,et al.  Nonlinear leaky waveguide modulator , 1991 .

[8]  H. Kwok,et al.  Picosecond CO 2 laser-induced self-defocusing in InSb , 1986 .

[9]  David J. Hagan,et al.  Direct measurements of nonlinear absorption and refraction in solutions of phthalocyanines , 1992 .

[10]  Robert R. Alfano,et al.  Optical Kerr effect in liquids , 1979 .

[11]  Seth R. Marder,et al.  Excited State Absorption and Optical Limiting in Solutions of Metallophthalocyanines , 1991 .

[12]  Peter G. LoPresti,et al.  Picosecond-millisecond optical nonlinearities of liquid crystals for limiting and switching applications , 1990, Defense, Security, and Sensing.

[13]  D. J. Hagan,et al.  Optical Limiting In Solutions Of Metallo-Phthalocyanines And Naphthalocyanines , 1989, Defense, Security, and Sensing.

[14]  Philip B. Chapple,et al.  Z-scan studies in the thin- and the thick-sample limits , 1994 .

[15]  Mansoor Sheik-Bahae,et al.  Nonlinear Refraction and Optical Limiting in Thick Media , 2022 .

[16]  Kamjou Mansour,et al.  Passive Broadband High Dynamic Range Semiconductor Limiters , 1989, Defense, Security, and Sensing.

[17]  M. Feit,et al.  Light propagation in graded-index optical fibers. , 1978, Applied optics.

[18]  Neal C. Gallagher,et al.  Fast algorithm for the computation of zero-order Hankel transform (A) , 1981 .

[19]  Lars Thylén,et al.  The beam propagation method: an analysis of its applicability , 1983 .

[20]  H.-P. Nolting,et al.  Results of benchmark tests for different numerical BPM algorithms , 1995 .

[21]  Mansoor Sheik-Bahae,et al.  Characterization of nonlinear absorption and refraction in advanced materials , 1993, Photonics West - Lasers and Applications in Science and Engineering.

[22]  A. Snyder,et al.  Self-tapered beams. , 1992, Optics letters.

[23]  T. G. Harvey,et al.  Theory of elliptical defocusing in anisotropic nonlinear-optical media. , 1990, Optics letters.

[24]  B. Gross,et al.  Numerical solution for the propagation of an elliptic Gaussian beam in a Kerr medium , 1992 .

[25]  Paras N. Prasad,et al.  Organic molecules for nonlinear optics and photonics , 1991 .

[26]  M. Munowitz,et al.  Beam propagation computations in one and two transverse dimensions , 1993 .

[27]  Rajkamal,et al.  Absorption/amplification-induced self-tapering and uptapering of a laser beam in a saturable nonlinear medium: large nonlinearity , 1994 .

[28]  J. Hermann.  External self-focusing, self-bending and optical limiting with thin non-linear media , 1987 .

[29]  Eikichi Yamashita,et al.  Analysis Methods for Electromagnetic Wave Problems , 1995 .

[30]  Paul Lagasse,et al.  Beam-propagation method: analysis and assessment , 1981 .

[31]  M. J. Soileau,et al.  Two-Photon Absorption, Nonlinear Refraction and Optical Limiting in Semiconductors , 1985 .

[32]  S D Smith,et al.  Effect of low-power nonlinear refraction on laser-beam propagation in InSb. , 1979, Optics letters.

[33]  David H. Bailey,et al.  A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms , 1994, SIAM J. Sci. Comput..

[34]  Yehuda B. Band,et al.  Power/energy limiter using reverse saturable absorption , 1984 .