ABSTRACT

The direct problem deals with finding the wave field for a known distribution of sources of wave radiation, and from knowledge of the character of the response of media where the wave currently propagates, it finds the arriving wave field distribution measured by the corresponding wave detector. The inverse problem deals with the determination and localization of the radiated sources' distribution and/or the identification of their shape, form, structure, and type of material. The solution of such a problem depends on human effort and intellectual knowledge. In this case, to obtain the solution of the inverse problem, the so-called approximate methods and assumptions are usually used. As will be shown regarding special applications of the inverse problems, the existence of input noises together with the input signal, even after averaging by a filter of the device, can ultimately be seen in the output signal.