Iv. Petrusenko et al., METHOD OF PARTIAL OVERLAPPING REGIONS FOR THE ANALYSIS OF DIFFRACTIONPROBLEMS, IEE proceedings. Microwaves, antennas and propagation, 141(3), 1994, pp. 196-198
The technique of regularisation of the mode-matching method's equation
s for 2-dimensional diffraction problems in waveguiding structures wit
h complicated geometry of boundary is developed and substantiated. The
approach is shown to have the clear geometry representation: a whole
complex domain of field determination is subdivided into a number of o
verlapping regions. The method of partial overlapping regions generate
s the resulting operator, a principal part of which is an idem-factor
and additional part is a omega-complete continuous operator.