The paper continues the analysis, started in Part I, of the model open wave-guide
network scattering problem defined by 2 semi-infinite, rectangular wave-guides
meeting along a common perpendicular line. In Part I we reduce the solution of the
scattering problem to a transmission problem rephrased as a system of integral
equations on the common perpendicular line. In this part we show that solutions of
the integral equations introduced in Part I have asymptotic expansions, if
the data allows it. Using these expansions we show that the solutions to
the PDE found in each half space have asymptotic expansions that imply
that they satisfy appropriate outgoing radiation conditions. The radiation
conditions are given in Part III, where we show that they imply uniqueness of
the solution to the PDE, as well as uniqueness for our system of integral
equations.
Keywords
open wave-guide, scattering, fundamental solution,
asymptotic analysis, contour deformation, outgoing
conditions for sources
