3D finite-difference frequency-domain method for plasmonics and nanophotonics
Abstract/Contents
- Abstract
- The finite-difference frequency-domain (FDFD) method is a conceptually simple method to solve time-dependent differential equations for steady-state solutions. In solving Maxwell's equations in three-dimensional (3D) space, however, the FDFD method has not been a popular method due to the slow convergence of iterative methods of solving a large system of linear equations Ax = b constructed by the FDFD method. In this dissertation, we show that the convergence speed can be greatly accelerated for plasmonic and nanophotonic systems by carefully modifying the properties of A. First, we make the matrix A significantly better-conditioned by using the stretched-coordinate perfectly matched layer (SC-PML) rather than the more commonly used uniaxial PML (UPML) as an absorbing boundary. Second, we eliminate the high multiplicity of near-zero eigenvalues of A by utilizing the continuity equation. By combining these two techniques, we achieve 300-fold acceleration in the convergence of iterative methods for an example 3D plasmonic system. We also demonstrate successful application of the acceleration techniques to a real-world engineering problem of designing novel integrated optical circuit components, namely broadband sharp 90-degree bends and T-splitters, in plasmonic coaxial waveguides.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2013 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Shin, Wonseok | |
|---|---|---|
| Associated with | Stanford University, Department of Electrical Engineering. | |
| Primary advisor | Fan, Shanhui, 1972- | |
| Primary advisor | Miller, D. A. B | |
| Thesis advisor | Fan, Shanhui, 1972- | |
| Thesis advisor | Miller, D. A. B | |
| Thesis advisor | Vuckovic, Jelena | |
| Advisor | Vuckovic, Jelena |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Wonseok Shin. |
|---|---|
| Note | Submitted to the Department of Electrical Engineering. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2013. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2013 by Wonseok Shin
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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