Abstract
We compute the electromagnetic modes of a photonic crystal point defect by expansion in localized basis functions. The defect modes are expanded using Wannier functions formed from the eigenmodes of the surrounding photonic crystal. The underlying solution to the perfect crystal is based on a real-space solution to Maxwell's equations using the finite element method. The resulting method combines the efficiency and flexibility of using an unstructured grid to discretize the unit cell with the efficiency of the Wannier method, which provides a significant reduction in the number of unknowns (small bases), such as applied to the defect problems with strongly localized modes. We present numerical results for an example defect structure present in a crystal structure that offers convenient validation and comparison to other methods.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
