Complex geometrical optics and nonlinear absorption/gain effects


  • Pawel Berczynski West Pomeranian University of Technology



The paper presents systematic analysis of the influence of nonlinear absorption/gain phenomena on Gaussian wave field evolution in Kerr type medium with additional consideration of the initial light beam convergence and divergence. To perform efficient analysis of the joint contribution of the initial curvature of the wave front and nonlinear absorption/gain effects on self-focusing/self-defocusing phenomena I propose to apply the method of complex geometrical optics (CGO) which at once reduces Gaussian beam diffraction and self-action effects (including nonlinear absorption/gain) to domain of ordinary differential equations (ODEs), which are base (output) equations. Description in output ODEs causes that CGO possess great superiority over well known analytic methods of nonlinear optics such as: variational method and method of moments which every time demand to solve Nonlinear Schrodinger Equation (NLS) by applying integral variational procedure or virial theory to obtain resulting equations describing evolution of amplitude, beam width and wave front curvature which happen to be identical with those obtained by CGO method. CGO method dealing with output ODEs is time consuming physical approach comparing to the numerical methods of nonlinear and wave optics. CGO with output evolutionary ODEs enables one to apply basic mathematical computer software such as: Matlab/Octave, Mathcad and Mathematica commonly available on every University, Colleague and secondary school nowadays.

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How to Cite

P. Berczynski, “Complex geometrical optics and nonlinear absorption/gain effects”, Photonics Lett. Pol., vol. 8, no. 2, pp. pp. 54–56, Jun. 2016.