A linear sampling method for the detection of leukemia using microwaves

This paper examines the possibility of using microwaves to detect leukemia in the upper part of the lower leg. The viability of such an approach is based on the fact that the increased capacitance of diseased cells causes the index of refraction of the bone marrow to change. In previous work, this problem was studied through the use of nonlinear optimization methods and was numerically very expensive. Here we develop a linear sampling method for the detection of tumors, which is extremely rapid and is based on determining the support of aberrant inhomogeneities in the bone marrow rather than the values of the index of refraction inside such inhomogeneities. Numerical examples are given showing the practicality of our new method.