An Adjoint Variable Method for Wideband Second-Order Sensitivity Analysis Through FDTD
| Autor: | Mohamed H. Negm, Yu Zhang, Mohamed H. Bakr |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Hessian matrix
Linear programming business.industry Mathematical analysis Finite-difference time-domain method Finite difference method 020206 networking & telecommunications 02 engineering and technology Computational fluid dynamics symbols.namesake 020210 optoelectronics & photonics 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics Sensitivity (control systems) Electrical and Electronic Engineering Wideband business Mathematics Variable (mathematics) |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 64:675-686 |
| ISSN: | 1558-2221 0018-926X |
| DOI: | 10.1109/tap.2015.2510373 |
| Popis: | We propose an efficient adjoint variable method (AVM) for estimating wideband second-order response sensitivities using the finite-difference time-domain (FDTD) approach. Our AVM approach reduces the number of required simulations for computing the Hessian matrix of the desired objective function from $O(n^{2})$ to only $n + 1$ where $n$ is the number of designable parameters. All first-order sensitivities are also estimated as a by-product. Our sensitivity technique is illustrated through 1-D, 2-D, and 3-D electromagnetic examples involving both dispersive and nondispersive materials. The accuracy of our AVM approach is verified through comparison with analytical sensitivity results or sensitivities estimated using the accurate but computationally intensive central finite-difference (CFD) approximations. |
| Databáze: | OpenAIRE |
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