Details
| Original language | English |
|---|---|
| Pages (from-to) | 3079-3094 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Antennas and Propagation |
| Volume | 73 |
| Issue number | 5 |
| Early online date | 1 Jan 2025 |
| Publication status | Published - 7 May 2025 |
Abstract
This article presents a density-based topology optimization scheme for locally optimizing the electric power dissipation in nanostructures made of lossy dispersive materials. We use the complex-conjugate pole-residue (CCPR) model, which can accurately model any linear materials' dispersion without limiting them to specific material classes. Based on the CCPR model, we introduce a time-domain measure of the electric power dissipation in arbitrary dispersive media. The CCPR model is incorporated via auxiliary differential equations (ADE) into Maxwell's equations in the time domain, and we formulate a gradient-based topology optimization problem to optimize the dissipation over a broad frequency spectrum. To estimate the objective function gradient, we use the adjoint field method, and explain the discretization and integration of the adjoint system into the finite-difference time-domain (FDTD) framework. Our method is demonstrated using the example of topology-optimized spherical nanoparticles made of Gold and Silicon with an enhanced absorption efficiency in the visible-ultraviolet spectral range. In this context, a detailed analysis of the challenges of topology optimization of plasmonic materials associated with a density-based approach is given. Our method offers efficient broadband optimization of power dissipation in dispersive media.
Keywords
- absorption efficiency, adjoint method, complex-conjugate pole-residue pairs model, FDTD method, Gold, instantaneous electric power dissipation, inverse design, optical dispersion, plasmonics, Silicon, time domain, topology optimization, complex-conjugate pole-residue (CCPR) pairs model, topology optimization (TopOpt), Absorption efficiency, gold, silicon, finite-difference time-domain (FDTD) method
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Antennas and Propagation, Vol. 73, No. 5, 07.05.2025, p. 3079-3094.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time-Domain Topology Optimization of Power Dissipation in Dispersive Dielectric and Plasmonic Nanostructures
AU - Gedeon, Johannes
AU - Allayarov, Izzatjon
AU - Lesina, Antonio Cala
AU - Hassan, Emadeldeen
N1 - Publisher Copyright: © 1963-2012 IEEE.
PY - 2025/5/7
Y1 - 2025/5/7
N2 - This article presents a density-based topology optimization scheme for locally optimizing the electric power dissipation in nanostructures made of lossy dispersive materials. We use the complex-conjugate pole-residue (CCPR) model, which can accurately model any linear materials' dispersion without limiting them to specific material classes. Based on the CCPR model, we introduce a time-domain measure of the electric power dissipation in arbitrary dispersive media. The CCPR model is incorporated via auxiliary differential equations (ADE) into Maxwell's equations in the time domain, and we formulate a gradient-based topology optimization problem to optimize the dissipation over a broad frequency spectrum. To estimate the objective function gradient, we use the adjoint field method, and explain the discretization and integration of the adjoint system into the finite-difference time-domain (FDTD) framework. Our method is demonstrated using the example of topology-optimized spherical nanoparticles made of Gold and Silicon with an enhanced absorption efficiency in the visible-ultraviolet spectral range. In this context, a detailed analysis of the challenges of topology optimization of plasmonic materials associated with a density-based approach is given. Our method offers efficient broadband optimization of power dissipation in dispersive media.
AB - This article presents a density-based topology optimization scheme for locally optimizing the electric power dissipation in nanostructures made of lossy dispersive materials. We use the complex-conjugate pole-residue (CCPR) model, which can accurately model any linear materials' dispersion without limiting them to specific material classes. Based on the CCPR model, we introduce a time-domain measure of the electric power dissipation in arbitrary dispersive media. The CCPR model is incorporated via auxiliary differential equations (ADE) into Maxwell's equations in the time domain, and we formulate a gradient-based topology optimization problem to optimize the dissipation over a broad frequency spectrum. To estimate the objective function gradient, we use the adjoint field method, and explain the discretization and integration of the adjoint system into the finite-difference time-domain (FDTD) framework. Our method is demonstrated using the example of topology-optimized spherical nanoparticles made of Gold and Silicon with an enhanced absorption efficiency in the visible-ultraviolet spectral range. In this context, a detailed analysis of the challenges of topology optimization of plasmonic materials associated with a density-based approach is given. Our method offers efficient broadband optimization of power dissipation in dispersive media.
KW - absorption efficiency
KW - adjoint method
KW - complex-conjugate pole-residue pairs model
KW - FDTD method
KW - Gold
KW - instantaneous electric power dissipation
KW - inverse design
KW - optical dispersion
KW - plasmonics
KW - Silicon
KW - time domain
KW - topology optimization
KW - complex-conjugate pole-residue (CCPR) pairs model
KW - topology optimization (TopOpt)
KW - Absorption efficiency
KW - gold
KW - silicon
KW - finite-difference time-domain (FDTD) method
UR - http://www.scopus.com/inward/record.url?scp=85215611862&partnerID=8YFLogxK
U2 - 10.1109/TAP.2024.3517156
DO - 10.1109/TAP.2024.3517156
M3 - Article
AN - SCOPUS:85215611862
VL - 73
SP - 3079
EP - 3094
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
SN - 0018-926X
IS - 5
ER -