The sommerfeld half‐plane problem revisited, II the factoring of a matrix of analytic functions | Zendy

Heins A. E. | Zendy; Mmeister E. | Zendy

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The sommerfeld half‐plane problem revisited, II the factoring of a matrix of analytic functions

Author(s) -

Heins A. E.,

Mmeister E.

Publication year - 1983

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670050103

Subject(s) - mathematics , mathematical analysis , neumann boundary condition , dirichlet boundary condition , boundary value problem , complex plane , plane (geometry) , mixed boundary condition , matrix (chemical analysis) , boundary (topology) , geometry , materials science , composite material

A half‐plane under plane wave excitation obeys a Dirichlet boundary condition on one side and a Neumann boundary condition on the other. These boundary conditions contrast the ones used by A. Sommerfeld in his classical paper. The present problem leads to a system of integral equations of the Wiener‐Hopf type which may be solved by a matrix factoring method suggested by A. E. Heins in 1950.

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