Abstract
We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerically calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate Transparent-Influx Boundary Conditions (TIBC’s) on the boundaries of the square; these are incorporated into a variational formulation of the Helmholtz equation to obtain a FEM-implementation for the interior calculations. We illustrate the method for a two-dimensional finite photonic crystal formed by dielectric rods with a defect, and study the response of the structure for given influx.
| Original language | English |
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| Title of host publication | Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM) |
| Editors | X. Letartre |
| Place of Publication | Lyon |
| Publisher | Ecole Centrale de Lyon |
| Pages | - |
| Number of pages | 1 |
| ISBN (Print) | not assigned |
| Publication status | Published - Apr 2005 |
| Event | 13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005 - Grenoble, France Duration: 8 Apr 2005 → 9 Apr 2005 Conference number: 13 https://www.owtnm-workshop.org/ |
Conference
| Conference | 13th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2005 |
|---|---|
| Abbreviated title | OWTNM |
| Country | France |
| City | Grenoble |
| Period | 8/04/05 → 9/04/05 |
| Internet address |
Fingerprint
Keywords
- Transparent-Influx Boundary Conditions
- IR-65067
- METIS-226040
- Finite Element Method
- Helmholtz problems
- Dirichlet-to-Neumann operator
- Photonic crystals
- hybrid analytic-numeric method
- EWI-13931
Cite this
Nicolau, J. B., Sopaheluwakan, A., & van Groesen, E. W. C. (2005). On an application of a 2D transparent-influx boundary condition for photonic crystals. In X. Letartre (Ed.), Proceedings of the 13th International Workshop on Optical Waveguide Theory and Numerical Modeling (OWTNM) (pp. -). Lyon: Ecole Centrale de Lyon.