We applied the method of statistical trials to the parabolic equation of laser radiation propagation in biotissue to perform a new method of optical coherence tomography modeling. Results of modeling tests show the efficiency of the developed approach.
The method of laser IR radiation propagation simulation in a case of randomly inhomogeneous media based on Leontovich – Fock equation in the application of optical coherent tomography modeling in biotissues is proposed. We describe the proposed methodology and demonstrate its implementation on a test case.
The fulfillment of the conditions for the complete conservatism of various numerical schemes that are most widely used in the numerical study of the nonlinear Schrödinger equation(NLSE) in the filamentation problem is analyzed, that the use of standard procedures for the numerical realization of NLSE with higher nonlinearities leads to a significant violation of the law of conservation of the Hamilton function in the filamentation process. The solution of this problem is proposed.
An equation is formulated for the Wigner function of the light field from the nonlinear Schrdinger equation in the weak nonlinearity approximation of the transfer equation type. Various numerical approaches used to solve this equation for the Wigner function are analyzed.
Approach to the description of effect of a clustering in air is offered. This effect can be described as an impurity clustering in the squeezed streams. On the basis of the diffusive equations for density of number of filament estimates of the sizes cluster from the size of average intensity are carried out. The equations for density of number of filament were formulated by authors for the description of a multiple filamentation in air earlier.