2014 Volume 24 Issue 3 Pages 185-201
This paper presents a method of eigenvalue calculation related to periodic boundary value problems for the Helmholtz equation in two dimensions based on the Sakurai-Sugiura projection method and periodic FMM. The Sakurai-Sugiura projection method solves nonlinear eigenvalue problems using contour integrals and is considered to be suitable for solving eigenvalue problems in conjuction with boundary element methods. We apply this method to eigenvalue problems specific to periodic boundary value problems related to guided waves and anomalies. We then validate the proposed method with numerical examples.