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Wave propagation on a strip grating over an impedance plane: Solution by reduction to a modified Riemann‐Hilbert problem
Author(s) -
Barbosa A. M.,
dos Santos A. F.,
Figanier J.
Publication year - 1983
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/rs018i004p00519
Subject(s) - plane wave , mathematical analysis , grating , attenuation , phase velocity , propagation constant , physics , wave impedance , wave propagation , plane (geometry) , surface wave , riemann hypothesis , antenna (radio) , mathematics , electrical impedance , optics , geometry , quantum mechanics , telecommunications , computer science
The TM electromagnetic wave propagation along a strip grating above an impedance plane is studied. The problem is formulated in terms of a modified Riemann‐Hilbert problem. The modal equation of the structure is derived and solved numerically. Surface wave and leaky wave modes are identified. The phase velocity and attenuation constant of the dominant leaky wave modes are presented, and their dependence on frequency and geometrical parameters is discussed. The possibility of applying this structure to the design of a leaky‐wave antenna is suggested.