TWO-DIMENSIONAL TEMPERATURE RETRIEVAL IN BIOLOGICAL STRUCTURES BY MULTIFREQUENCY MICROWAVE RADIOMETRY: A SOBOLEV-SPACE SOLUTION

Abstract

The problem of retrieving a two-dimensional temperature distribution from radiometric data measured at various frequencies and for different positions of the sensing antenna around the body has been considered. The retrieval has been modelled as an inverse problem whose solution is investigated in a suitably defined functional space which takes regularity properties of temperature functions into account. The retrieval of hot spots in a cylinder at uniform temperature has been numerically analyzed, the examples being relevant in the hyperthermia treatment of malignancies. [Vol. 7, No. 2, pp. 110-120 (1992), Special Issue on Bioelectromagnetic Computations]