Title:
Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source
Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source
| dc.contributor.author | Badieirostami, Majid | en_US |
| dc.contributor.author | Adibi, Ali | en_US |
| dc.contributor.author | Zhou, Hao-Min | en_US |
| dc.contributor.author | Chow, Shui-Nee | en_US |
| dc.contributor.corporatename | Georgia Institute of Technology. Center for Organic Photonics and Electronics | en_US |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Electrical and Computer Engineering | en_US |
| dc.date.accessioned | 2012-12-14T17:52:34Z | |
| dc.date.available | 2012-12-14T17:52:34Z | |
| dc.date.issued | 2010 | |
| dc.description | © 2010 Society for Industrial and Applied Mathematics | en_US |
| dc.description | The definitive version of this paper is available at: http://dx.doi.org/10.1137/090749219 | en_US |
| dc.description | DOI: 10.1137/090749219 | en_US |
| dc.description.abstract | First, we propose a new stochastic model for a spatially incoherent source in optical phenomena. The model naturally incorporates the incoherent property into the electromagnetic wave equation through a random source term. Then we propose a new numerical method based on Wiener chaos expansion (WCE) and apply it to solve the resulting stochastic wave equation. The main advantage of the WCE method is that it separates random and deterministic effects and allows the random effects to be factored out of the primary partial differential equation (PDE) very effectively. Therefore, the stochastic PDE is reduced to a set of deterministic PDEs for the coefficients of the WCE method which can be solved by conventional numerical algorithms. We solve these secondary deterministic PDEs by a finite-difference time domain (FDTD) method and demonstrate that the numerical computations based on the WCE method are considerably more efficient than the brute-force simulations. Moreover, the WCE approach does not require generation of random numbers and results in less computational errors compared to Monte Carlo simulations. | en_US |
| dc.identifier.citation | Badieirostami, Majid and Adibi, Ali and Zhou, Hao-Min and Chow, Shui-Nee, "Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source," Multiscale Modeling & Simulation, 8, 2, 591-604 (2010) | en_US |
| dc.identifier.doi | 10.1137/090749219 | |
| dc.identifier.issn | 1540-3459 | |
| dc.identifier.uri | http://hdl.handle.net/1853/45569 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Georgia Institute of Technology | en_US |
| dc.publisher.original | Society for Industrial and Applied Mathematics - | en_US |
| dc.subject | Helmholtz wave equation | en_US |
| dc.subject | Stochastic differential equations | en_US |
| dc.subject | Wiener chaos expansion | en_US |
| dc.title | Wiener chaos expansion and simulation of electromagnetic wave propagation excited by a spatially incoherent source | en_US |
| dc.type | Text | |
| dc.type.genre | Article | |
| dspace.entity.type | Publication | |
| local.contributor.author | Chow, Shui-Nee | |
| local.contributor.author | Adibi, Ali | |
| local.contributor.corporatename | Center for Organic Photonics and Electronics | |
| relation.isAuthorOfPublication | 184e1861-af72-4c62-b613-54c1d1b7febb | |
| relation.isAuthorOfPublication | 3f390cd1-919c-4946-af63-6f9f1e244776 | |
| relation.isOrgUnitOfPublication | 43f8dc5f-0678-4f07-b44a-edbf587c338f |
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