Inverse scattering methods applied to nonlinear optical component design

A random medium model is applied to study propagation and multiple scattering of laser beams in nonlinear media containing microparticles. Refractive indices of these nonlinear media are considered to be isotropic and intensity-dependent. After applying a probabilistic model, we obtain an autocorrelation function with exponential-decay shape for the random medium assuming a two-phase mixture. Using the parabolic approximation, we have calculated the mean value of the intensity-dependent part of refractive index from the mutual coherence function. The Feynman diagrammatic technique, bilocal, and distorted-wave Born approximations are then invoked to formulate a Fourier relationship between the autocorrelation function and the forward scattered field of the incident light beam. Finally, our Fourier-based inversion algorithm is employed to extract information about the medium from the measured scattered field data.

[1]  R. C. Bourret,et al.  Stochastically perturbed fields, with applications to wave propagation in random media , 1962 .

[2]  R. Alfano,et al.  Self-focusing, self-phase modulation, and diffraction in bulk homogeneous material. , 1988, Optics letters.

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

[4]  E. Garmire,et al.  Self-trapping of optical beams , 1966 .

[5]  J. Fleck,et al.  TEMPORAL ASPECTS OF THE SELF‐FOCUSING OF OPTICAL BEAMS , 1969 .

[6]  W. Wagner,et al.  Self-focusing as a pulse sharpening mechanism , 1967 .

[7]  O. Svelto,et al.  I Self-Focusing, Self-Trapping, and Self-Phase Modulation of Laser Beams , 1974 .

[8]  Michael A. Fiddy,et al.  Image estimation from scattered field data , 1990, Int. J. Imaging Syst. Technol..

[9]  Jin Au Kong,et al.  Microwave remote sensing of snow-covered sea ice , 1986 .

[10]  Charles H. Townes,et al.  Self-trapping of optical beams , 1964 .

[11]  P. L. Kelley,et al.  Self-focusing of optical beams , 1965, International Quantum Electronics Conference, 2005..

[12]  M. Fiddy,et al.  Born–Rytov controversy. II. Applications to nonlinear and stochastic scattering problems in one-dimensional half-space media , 1993 .

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

[14]  Uriel Frisch,et al.  WAVE PROPAGATION IN RANDOM MEDIA. , 1970 .

[15]  S. Clifford,et al.  Mutual coherence function for line‐of‐sight microwave propagation through atmospheric turbulence , 1985 .

[16]  P W Smith,et al.  Continuous-wave self-focusing and self-trapping of light in artificial Kerr media. , 1982, Optics letters.

[17]  R. A. Silverman,et al.  Wave Propagation in a Turbulent Medium , 1961 .

[18]  H. R. Anderson,et al.  Scattering by an Inhomogeneous Solid. II. The Correlation Function and Its Application , 1957 .

[19]  R. Bourret.  PROPAGATION OF RANDOMLY PERTURBED FIELDS , 1962 .

[20]  R. Khokhlov,et al.  Reviews of Topical Problems: Self-Focusing and Diffraction of Light in a Nonlinear Medium , 1968 .

[21]  R. Hufnagel,et al.  Modulation Transfer Function Associated with Image Transmission through Turbulent Media , 1964 .

[22]  Yuen-Ron Shen,et al.  Self-focusing: Experimental , 1975 .