Title :
Perturbation technique for matrix equations and its application in the computation of internal fields in a three-dimensional arbitrarily shaped biological body
Author :
Cui, T.J. ; Liang, C.H.
Author_Institution :
Dept. of Electromagnetic Field Eng., Xidian Univ., Xi´´an, China
fDate :
4/1/1994 12:00:00 AM
Abstract :
A novel matrix perturbation technique for the matrix equation [A][u]=[b] is presented. One of its applications, the computation of internal fields in a three-dimensional arbitrarily shaped heterogeneous biological body illuminated by a plane wave, is further investigated by using the technique. If one regards a normal biological body as the primary model and stores its computation results, when small perturbations in the dielectric characteristics or the shape of the body occur, the internal fields in the perturbed biological body can be rapidly computed using the stored results. Compared with the usual moment methods, the new technique has an equivalent precision, yet takes only 1/70 the execution time. This technique is especially suitable for pathological cases in which the dielectric characteristics or the shape of the biological body vary due to disease
Keywords :
biological effects of microwaves; electromagnetic field theory; matrix algebra; perturbation theory; radiation therapy; dielectric characteristics; disease; internal fields; matrix equations; matrix perturbation technique; pathological cases; shape; three-dimensional arbitrarily shaped biological body; Biological system modeling; Biology computing; Computer applications; Dielectrics; Diseases; Equations; Moment methods; Pathology; Perturbation methods; Shape;
Journal_Title :
Antennas and Propagation, IEEE Transactions on