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.