Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations

Mur, G.

doi:10.1109/temc.1981.303970

Cited by 2,245 publications

(814 citation statements)

References 8 publications

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“…[51][52][53] Here, an auxiliary 1D simulation with a specified pulse is propagated separately from the main 3D…”

Section: Basic Fdtd Considerationsmentioning

confidence: 99%

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Capturing Plasmon–Molecule Dynamics in Dye Monolayers on Metal Nanoparticles Using Classical Electrodynamics with Quantum Embedding

Smith¹,

Karam

Haber³

et al. 2017

J. Phys. Chem. C

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A multi-scale hybrid quantum/classical approach using classical electrodynamics and a collection of discrete three-level quantum systems is used to simulate the coupled dynamics and spectra of a malachite green monolayer adsorbed to the surface of a spherical gold nanoparticle (NP). This method utilizes finite difference time domain (FDTD) to describe the plasmonic response of the NP within the main FDTD framework and a three-level quantum description for the molecule via a Maxwell/Liouville framework.To avoid spurious self-excitation, each quantum molecule has its own auxiliary FDTD subregion embedded within the main FDTD grid. The molecular parameters are determined by fitting the experimental extinction spectra to Lorentzians, yielding the energies, transition dipole moments, and the dephasing lifetimes. This approach can be potentially applied to modeling thousands of molecules on the surface of a plasmonic NP. In this paper, however, we first present results for two molecules with scaled oscillator strengths to reflect the optical response of a full monolayer. There is good agreement with experimental extinction measurements, predicting the plasmon and molecule depletions. Additionally, this model captures the polariton peaks overlapped with a Fano-type resonance profile observed in the experimental extinction measurements. This technique can be generalized to any nanostructure/multi-chromophore system, where the molecules can be treated with essentially any quantum method.

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“…[51][52][53] Here, an auxiliary 1D simulation with a specified pulse is propagated separately from the main 3D…”

Section: Basic Fdtd Considerationsmentioning

confidence: 99%

“…52 The system is excited with a broadband pulse via the TF/SF interface, as described in the previous section. This electric field then acts as an external applied source for each quantum molecule in the region.…”

Section: Acs Paragon Plus Environmentmentioning

confidence: 99%

Capturing Plasmon–Molecule Dynamics in Dye Monolayers on Metal Nanoparticles Using Classical Electrodynamics with Quantum Embedding

Smith¹,

Karam

Haber³

et al. 2017

J. Phys. Chem. C

View full text Add to dashboard Cite

show abstract

“…(2) Initialize data for Mur ABC conditions (3) for t = 0 → max timestep (4) for l = 0 → length (5) for j = 0 → width (6) compute source values and ABC Mur conditions [14]. (7) update EM field:…”

Section: Hpf Sequential Algorithmmentioning

confidence: 99%

Gpu Approach for Hertzian Potential Formulation Tool Oriented on Electromagnetic Nanodevices

Tartarini¹,

Massaro²

2011

PIER M

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Abstract-The time domain modeling and simulation of electromagnetic (EM) waves interaction with nanodevices, at high spatial and time resolution, requires high computational power. For the first time, in this paper we present an effective implementation of the Hertzian Potential Formulation (HPF) on the Graphics Processing Units (GPUs), through the NVIDIA's CUDA (Compute Unified Device Architecture) programming model. It accelerates the nanodevice EM simulations at nanometer scale harnessing the massive parallelism of the GPU based systems. This study is useful for similar electromagnetic codes including the Finite Difference approaches. The results demonstrate that this GPU tool outperforms the CPU based HPF implementation, reaching a speedup from 30 × to 70 ×.

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“…The FDTD method is an accurate ab initio tool and has been widely used to simulate the interaction between the few-cycle ultrashort pulse and the matter [12,13]. To avoid the influence of the finite-space computational domain, Mur absorbing boundary conditions [40] are incorporated with FDTD discretization. The time and space increments, t and z, are chosen to ensure c t z [12].…”

Section: Theoretical Modelmentioning

confidence: 99%

Carrier-envelope phase-dependent transmitted spectra in inversion-asymmetric media with permanent dipole moments

Yang¹,

Xia²,

Zhang³

et al. 2009

J. Phys. B: At. Mol. Opt. Phys.

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We investigate the transmitted spectra of a few-cycle ultrashort pulse in an inversion-asymmetric medium with a permanent dipole moment (PDM). Our results show that even-order harmonics can be generated in this medium. Moreover, the generated even-order harmonics depend strongly on the carrier-envelope phase (CEP) of initial incident few-cycle ultrashort pulses. Physical analysis of the re-emitted spectra of the medium reveals that the CEP-dependent spectral effect is originated from the inversion-asymmetric structure and the corresponding PDM effects: two-photon transition dominates in the nonlinear process and further induces the generations of the even-order harmonics. Furthermore, the orientation relation between the electric field peak of the pulse and the PDM results in even-order harmonic generations depending on the CEP.

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Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations

Cited by 2,245 publications

References 8 publications

Capturing Plasmon–Molecule Dynamics in Dye Monolayers on Metal Nanoparticles Using Classical Electrodynamics with Quantum Embedding

Capturing Plasmon–Molecule Dynamics in Dye Monolayers on Metal Nanoparticles Using Classical Electrodynamics with Quantum Embedding

Gpu Approach for Hertzian Potential Formulation Tool Oriented on Electromagnetic Nanodevices

Carrier-envelope phase-dependent transmitted spectra in inversion-asymmetric media with permanent dipole moments

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