G1DMULT and G2DMULT Algorithms: An Approach for Calculating Green's Functions of Multilayer Structures

Paper in proceeding, 2026

This paper provides an overview of research activities of Prof. Per-Simon Kildal and his collaborators in developing a systematic analysis approach and corresponding algorithms for determining Green's functions of canonical multilayer structures. The formulation applied in these algorithms is based on the use of symmetries present in the considered structures and on the division of a complex electromagnetic problem into simpler sub-problems by applying the equivalence principle. In this way, a new creative approach was established for teaching electromagnetic field theory, as well as for structuring numerical algorithms. The considered algorithms are very flexible and are continuously being developed to include new classes of electromagnetic structures, such as planar and curved structures containing metasurface layers.