Premium
Field matching and singular integral equations
Author(s) -
Lüneburg E.
Publication year - 1981
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs016i006p00979
Subject(s) - integral equation , mathematics , mathematical analysis , electric field integral equation , modal , singular integral , diffraction , scattering , electric field , field (mathematics) , calculus (dental) , physics , optics , pure mathematics , quantum mechanics , chemistry , polymer chemistry , medicine , dentistry
A new approach to the solution of a class of diffraction problems for closed and open periodic structures is illustrated by means of the scattering of an incident modal field at the junction of a parallel‐plate waveguide with electric and magnetic walls. The formulation is in terms of field matching. The resulting singular integral equation is solved in closed form by reduction to a Hilbert problem. A comparison with the results of the residue‐calculus method of the mode‐matching technique is included.