Method of Analytical Regularisation forNew Frontiers of Applied Electromagnetics

The recent advances in nano-optics and photonics, the introduction of novel materials like graphene, and the interest in the development of wireless communications at millimetre-waveand THz-wavefrequencies has ledto the development of powerful,full-wave general-purpose electromagnetic solvers. Amongstthem, a special place is occupied by the integral equation formulations and associated discretisation techniques. This is due tothe radiation condition being automatically satisfied and the unknown functions usually beingdefined on finite supports. The results obtained with commercial software need to be validated ex-post by comparing them with closedform expressions, measurements, or asymptotic solutionsbecauseneither the existence of a solution of an arbitrary integral equation,nor the convergence of an arbitrary discretisation scheme can be establisheda priori. This problem can be completely overcome, however,by use of the Method of Analytical Regularisation (MAR). MARis a family of methods based on the conversion of the first-kind weakly singular and various strongly singular integral equations,to the second-kind integral or matrix equations for which the Fredholm theory is valid. For these reasons, MAR is attracting a growing interest in the electromagnetic community. This Special Issue focuses on both important fundamental issues of MAR and its novel applications

Fundamental topics of interest include, but are not limited to:–Regularising Galerkin methods–Abel integral equation techniques–Müller boundary integral equations–Wiener-Hopf based techniques–Convergence and accuracy–Eigenvalue problems–Asymptotics based on MARApplications areasof interest include, but are not limited to:–Opticaland microwave antennas–Plasmonic scatterers–Patterned graphene–Metasurfaces–Dielectric resonators and lenses–Waveguide circuits–Laser modes on threshold