Extension of the Method to Non-convex Angle

Abstract

In this chapter we extend the approach of Chaps. 7–19 to problems (7.1)–(7.2) in angles Q of magnitude Φ > π using our method [58, 61]. In suitable system of coordinates the angle Q coincides with ${\mathbb R}^2\setminus K$ where K is the first quadrant ${\mathbb R}^+\times {\mathbb R}^+$, since Φ > π. Then the stationary diffraction problem can be written as the b.v.p.