**
THEORETICAL
RESEARCH OF CORRECTNESS OF AN INVERSE PROBLEM OF SCATTERING OF LASER RADIATION
IN A STATISTICALLY IRREGULAR INTEGRATED-OPTICAL WAVEGUIDE IN THE ABSENCE OF
NOISE**

**
A. A. Egorov**

**A.M. Prokhorov General Physics Institute, Russian Academy
of Sciences**

Received
April 10, 2009

The
correctness of the linear inverse
problem
of the theory of scattering of a laser radiation in a statistically irregular
integrated-optical waveguide in the absence of a noise is investigated. It is
proved, that at quite natural physical and mathematical restrictions imposed on
the scattering diagram, it is possible to receive an approximate correct
solution of the posed inverse problem of scattering of a laser radiation as a
Taylor series. The uniqueness of an obtained solution of the inverse problem is
based on the properties of analytical functions. The stability of a solution to
small variations of input data is supplied with a narrowing of the possible
class of solutions up to some compact set.