Laser beam propagation through inhomogeneous media with shock-like profiles: modeling and computing

Wave propagation in inhomogeneous media has been studied for such diverse applications as propagation of radiowaves in atmosphere, light propagation through thin films and in inhomogeneous waveguides, flow visualization, and others. In recent years an increased interest has been developed in wave propagation through shocks in supersonic flows. Results of experiments conducted in the past few years has shown such interesting phenomena as a laser beam splitting and spreading. The paper describes a model constructed to propagate a laser beam through shock-like inhomogeneous media. Numerical techniques are presented to compute the beam through such media. The results of computation are presented, discussed, and compared with experimental data.

[1]  Jayanta Panda,et al.  An experimental investigation of laser light scattering by shock waves , 1995 .

[2]  H. V. Hulst Light Scattering by Small Particles , 1957 .

[3]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[4]  Henry Stark,et al.  Introduction to diffraction, information processing, and holography , 1973 .

[5]  L. Z. Kriksunov,et al.  Refraction of laser beams at a compression shock , 1984 .

[6]  E. F. Greene,et al.  The Thickness of Shock Fronts in Argon and Nitrogen and Rotational Heat Capacity Lags , 1951 .

[7]  J. Panda,et al.  LASER LIGHT SCATTERING BY SHOCK WAVES , 1995 .

[8]  G. Mur Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations , 1981, IEEE Transactions on Electromagnetic Compatibility.

[9]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[10]  G. Stephens,et al.  Scattering of plane waves by soft obstacles: anomalous diffraction theory for circular cylinders. , 1984, Applied optics.

[11]  F. Yuan,et al.  SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) , 1999 .

[12]  D K Johnson,et al.  Transmission of light waves through normal shocks. , 1995, Applied optics.

[13]  Allen Taflove,et al.  The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures: Finite Element and Finite Difference Methods in Electromagnetic Scattering , 1990 .

[14]  R A Lessard,et al.  Real-time curvature radii measurements using diffraction edge waves. , 1985, Applied optics.

[15]  Jin Au Kong,et al.  Finite element and finite difference methods in electromagnetic scattering , 1990 .

[16]  Grigory Adamovsky,et al.  Optical techniques for shock visualization and detection , 1995, Optics & Photonics.

[17]  P S Brody,et al.  Dynamic holographic method of imaging phase objects. , 1987, Applied optics.

[18]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[19]  A. Shapiro The dynamics and thermodynamics of compressible fluid flow. , 1953 .

[20]  G. Cowan,et al.  The Experimental Determination of the Thickness of a Shock Front in a Gas , 1950 .

[21]  A. Taflove,et al.  The Finite-Difference Time-Domain Method for Numerical Modeling of Electromagnetic Wave Interactions with Arbitrary Structures , 1990, Progress In Electromagnetics Research.

[22]  H. Weaver Applications of Discrete and Continuous Fourier Analysis , 1983 .

[23]  M. Fusco,et al.  FDTD algorithm in curvilinear coordinates (EM scattering) , 1990 .

[24]  M. Morgan 1 – PRINCIPLES OF FINITE METHODS IN ELECTROMAGNETIC SCATTERING , 1990 .

[25]  Grigory Adamovsky,et al.  Theory and experiments for detecting shock locations , 1994, Photonics West - Lasers and Applications in Science and Engineering.

[26]  Max M. Michaelis,et al.  The application of the refractive fringe diagnostic to shocks in air , 1987 .

[27]  R. Luebbers,et al.  The Finite Difference Time Domain Method for Electromagnetics , 1993 .

[28]  A. Taflove The Finite-Difference Time-Domain Method , 1995 .