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Please use this identifier to cite or link to this item:
http://hdl.handle.net/1721.1/39327
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| Title: | A fast 3D full-wave solver for nanophotonics |
| Other Titles: | fast three-dimensional full-wave solver for nanophotonics |
| Authors: | Zhang, Lei, S.M. Massachusetts Institute of Technology |
| Advisor: | Jacob K. White. |
| Department: | Massachusetts Institute of Technology. Computation for Design and Optimization Program. |
| Other contributors: | Massachusetts Institute of Technology. Computation for Design and Optimization Program. |
| Keywords: | Computation for Design and Optimization Program. |
| Issue Date: | 2007 |
| Publisher: | Massachusetts Institute of Technology |
| Abstract: | Conventional fast integral equation solvers seem to be ideal approaches for simulating 3-D nanophotonic devices, as these devices are considered to be open structures, generating fields in both an interior channel and in the infinite exterior domain. However, many devices of interest, such as optical ring resonator filters or waveguides, have channels that can not be terminated without generating numerical reflections. Therefore, designing absorbers for these channels is a new problem for integral equation methods, as integral equation methods were initially developed for problems with finite surfaces. In this thesis we present a technique to eliminate reflections, making the channel volume conductive outside the domain of interest. The surface integral equation (SIE) method is employed to take advantage of the piecewise homogeneous medium. The Poggio-Miller-Chang-Harrington-Wu (PM-CHW) formulation is formed and the boundary element method is employed to construct and solve a linear system. Moreover, the block Toeplitz matrix property and using FFT helps reduce memory requirement, and accelerate the circulant matrix vector product. Numerical experiments are presented to demonstrate that this method can effectively reduce reflections to 1%, and is easily incorporated in an fast integral equation solver. |
| Description: | Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2007.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Includes bibliographical references (p. 57-61). |
| URI: | http://dspace.mit.edu/handle/1721.1/39327
http://hdl.handle.net/1721.1/39327 |
| Appears in Collections: | Computation for Design and Optimization - Master's degree
Computation for Design and Optimization - Master's degree
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| 173413856.pdf | Preview, non-printable (open to all) | 532Kb | Adobe PDF | View/Open | | 173413856-MIT.pdf | Full printable version (MIT only) | 531Kb | Adobe PDF | View/Open |
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