Study on the propagation properties of one-dimensional photonic crystal with oblique incidence by the precise integration method

Abstract

Propagation properties of one-dimensional photonic crystal with oblique incidence are simulated and analyzed using precise integration method in the paper. The variational principle based on the single variable in conditions of the oblique incidence is derived. Then, the dual variables are introduced and the equations are derived to the Hamiltonian system formulation. A precise integration method based on the Riccati equations is used to generate the export stiffness matrices. The problem can be solved by merging the export stiffness matrices and using the boundary conditions. Numerical examples demonstrate the high accuracy and efficiency of this method for solving problems of transmission property of one-dimensional photonic crystal.

Keywords:

• photonic crystal
• oblique incidence
• finite element method
• symplectic system
• precise integration method

Acknowledgment

This work was supported by the National Natural Science Foundation of China (No. 11172008)