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- Title
Second‐order functional‐difference equations. II: Scattering from a right‐angled conductive wedge for E‐polarization.
- Authors
ANTIPOV, Y. A.; SILVESTROV, V. V.
- Abstract
In part I, a new method for solving functional‐difference equations of the second order was proposed. The shift of the equation was assumed to coincide with the period of the coefficients. The method is based on the theory of the Riemann–Hilbert problem on a hyperelliptic surface and the Jacobi inversion problem. The procedure is applicable to any finite number of zeros of the discriminant of the equation in the strip. It yields the general single‐valued meromorphic solution.
- Subjects
EQUATIONS; ELECTROMAGNETISM; SCATTERING (Mathematics); ELECTRIC currents; ELECTRIC fields
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2004, Vol 57, Issue 2, p267
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/57.2.267