ANALYTICAL AND NUMERICAL SOLUTIONS OF THE PARABOLIC EQUATION ISHIMARU FOR THE ELECTROMAGNETIC FIELD, DESCRIBING THE TEMPORARY PROPERTIES OF THE OUTPUT VIDEO-PULSE HETEROGENEOUS NON-DISSIPATIVE MEDIUM

Abstract

The parabolic Ishimaru equation for the electromagnetic field coherence function, which describes the temporal properties of pulse at the output of inhomogeneous non-dissipative medium, is considered. The generalization of the approach used in the Ishimaru model to describe the temporal evolution of the envelope of the monochromatic electromagnetic video-pulse in homogeneous non-dissipative media is generalized to the case of non-homogeneous nondissipative media. An attempt was made to take into account the influence of the inhomogeneity of the medium on the shape of the resulting pulse. An explicit expression for the Green's function of the problem is obtained and number of numerical experiments are carried out. The paper studies the invariant longitudinal (temporal) properties of the envelope of monochromatic electromagnetic pulses recorded after passing through flat layer of the scattering inhomogeneous medium, i.e. properties that remain unchanged when the environment parameters vary. Examples of numerical experiments are given.