title: Novel electromagnetic approach to photonic crystals with use of the C method.
abstract: We introduce a new method allowing rigorous electromagnetic analysis of scattering through photonic crystals comprising polygonal or round rods. For this purpose, we reformulate the C method with adaptive spatial resolution by utilizing the hybrid-spectrum connection method, permitting the use of nonidentical trapezoidal profiles. Considering polygonal rods as gratings consisting of different piecewise-differentiable surfaces, we are able to analyze the reflection and the transmittance of crystals by means of the C method. To enhance computational efficiency, we apply the recursive S-matrix approach with Redheffer's star product to solve the transfer matrix for structures of numerous successive layers of rods.
authors.affiliation: Department of Physics, University of Joensuu, P.O. Box 111, FIN-80101 Joensuu, Finland.
authors.forename: Thomas
authors.initials: T
authors.lastname: Vallius
authors.forename: Markku
authors.initials: M
authors.lastname: Kuittinen