Computational Analysis of Two-Dimensional Photonic Crystal Bent Waveguides

This program provides computational analysis for two-dimensional photonic crystal bent waveguides, currently implementing TM mode calculations using finite-difference time-domain (FDTD) methods. The algorithm employs Maxwell's equations discretization with perfect matched layer boundary conditions to simulate waveguide bending effects. While the current version specializes in transverse magnetic modes, the underlying computational framework can be readily adapted for TE mode analysis. The transition to transverse electric modes requires modifications primarily in the boundary condition handling and polarization vector adjustments within the code structure. TE mode implementation typically involves simpler dielectric constant tensor manipulations compared to TM modes, making the adaptation straightforward through parameter reorganization and eigenvalue solver adjustments. By extending the program's capabilities to include both polarization states, researchers can achieve comprehensive characterization of photonic crystal waveguide properties across broader application scenarios, enabling more thorough investigation of transmission efficiency, bending losses, and dispersion characteristics in complex waveguide geometries.