Scale formulation of first-order nonlinear optics

Abstract Multidimensional propagation of a light pulse or beam in a nonlinear sample of a Kerr type is described within the first-order optics formalism. A scale transformation that relates the nonlinear and linear propagation processes is defined by use of the nonlinear aberrationless effects. The nonlinear ray transfer matrix and Wigner distribution function are explicitly given in a factored form for the propagation of a symmetric Gaussian optical signal. An on-axis phase correction to the nonlinear first-order formalism is also specified.

[1]  E Bernabeu,et al.  Nonlinear propagation and transformation of arbitrary laser beams by means of the generalized ABCD formalism. , 1993, Applied optics.

[2]  P. Balcou,et al.  Frustrated total internal reflection of laser eigenstates , 1996 .

[3]  Diana Anderson,et al.  Variational approach to nonlinear pulse propagation in optical fibers , 1983 .

[4]  M. Karlsson,et al.  Dynamic effects of Kerr nonlinearity and spatial diffraction on self-phase modulation of optical pulses. , 1991, Optics letters.

[5]  Mj Martin Bastiaans.  Application of the Wigner distribution function to partially coherent light , 1986 .

[6]  W. Nasalski.  Longitudinal and transverse effects of nonspecular reflection , 1996 .

[7]  Sandro De Silvestri,et al.  ABCD matrix analysis of propagation of gaussian beams through Kerr media , 1993 .

[8]  Dmitri V. Petrov,et al.  Reflection Z-scan technique for the study of nonlinear refraction and absorption of a single interface and thin film , 1996 .

[9]  A. Walther.  Radiometry and coherence , 1968 .

[10]  E. Wolf.  Coherence and radiometry , 1978 .

[11]  J. Paye,et al.  The chronocyclic representation of ultrashort light pulses , 1992 .

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

[13]  Aberrationless effects of nonlinear propagation , 1996 .

[14]  C. Paré,et al.  Self-focusing of Gaussian beams: an alternate derivation. , 1983, Applied optics.

[15]  D. Dragoman,et al.  Wigner distribution function in nonlinear optics. , 1996, Applied optics.

[16]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[17]  W. Nasalski.  Complex ray tracing of nonlinear propagation , 1995 .

[18]  Joseph Shamir,et al.  First-order optics: operator representation for systems with loss or gain , 1982 .

[19]  A. Yariv,et al.  The application of Gaussian beam. Formalism to optical propagation in nonlinear media , 1978 .

[20]  U. Stamm,et al.  Cavity design for optimum nonlinear absorption in Kerr-lens mode-locked solid-state lasers , 1992 .

[21]  J G Fujimoto,et al.  Measurement of the amplitude and phase of ultrashort light pulses from spectrally resolved autocorrelation. , 1993, Optics letters.

[22]  M Karlsson,et al.  Dynamics of self-focusing and self-phase modulation in a parabolic index optical fiber. , 1992, Optics letters.

[23]  Diana Anderson,et al.  Variational approach to collapse of optical pulses , 1991 .

[24]  Nonspecular bistability versus diffraction at nonlinear hybrid interfaces , 1990 .

[25]  James G. Fujimoto,et al.  Analytic theory of additive pulse and Kerr lens mode locking , 1992 .