Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations

Taflove, Allen; Brodwin, M.E.

doi:10.1109/tmtt.1975.1128640

Cited by 1,118 publications

(374 citation statements)

References 3 publications

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“…FDTD is now the start-of-the-art method for solving Maxwell's equations for complex geometries. [24][25][26][27][28][29][30][31][32][33][34][35][36][37] Being a direct time and space solution, FDTD offers the user a unique insight into all types of problems in photonics. Furthermore, FDTD can also be used to obtain the frequency solution by exploiting Fourier transforms, thus enabling a full range of useful quantities such as the complex Poynting vector and the transmission/reflection of light, in addition to fields around particles to be calculated.…”

Section: Finite-difference Time-domain Calculationsmentioning

confidence: 99%

“…The reduction of the grid size was stopped when we approached a grid size (Δ) where results closely match with the set of results that are obtained from half that particular grid size (Δ/2). 36 The numerical implementation of Maxwell's equations in the FDTD algorithm requires that the time increment Δt have a specific bound relative to the spatial discretization Δ (as mentioned above) to ensure the stability of the time-stepping algorithm. In FDTD Solutions, the time step of the simulation is determined by the values of the spatial grid to ensure numerical stability and the user has the flexibility to set the total time of the simulation in femtoseconds.…”

Section: Finite-difference Time-domain Calculationsmentioning

confidence: 99%

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Enhanced Förster Resonance Energy Transfer on Single Metal Particle. 2. Dependence on Donor−Acceptor Separation Distance, Particle Size, and Distance from Metal Surface

et al. 2007

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We studied the effect of metal particles on Förster resonance energy transfer (FRET) between nearby donor-acceptor pairs. The studies included the effect of donor-acceptor distance, silver particle size, and distance from the metal surface. The metal particles were synthesized with average diameters of 15, 40, and 80 nm, respectively. A Cy5-labeled oligonucleotide was chemically bound to a single silver particle with a distance of 2 or 10 nm from the surface of metal core. A Cy5.5-labeled complementary oligonucleotide was bound to the particle-conjugated oligonucleotide by hybridization. The spacer length between donor-acceptor was adjusted by the number of base pairs. FRET between the donor-acceptor pair was investigated by dual-channel single-molecule fluorescence detection. Both the emission intensities and lifetimes indicated that FRET was enhanced efficiently by the metal particles. The results showed an increase of apparent energy transfer distance with the size of silver particle and distance from the metal core. Simulations by finite-difference time-domain (FDTD) calculations were used to compare with the experimental results. The local fields at the location of the donor-acceptor pair appeared to correlate with the FRET efficiency. These results will aid in the design of metal particles for using FRET to determine biomolecule proximity at distances beyond the usual Förster distance.

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Section: Finite-difference Time-domain Calculationsmentioning

confidence: 99%

Section: Finite-difference Time-domain Calculationsmentioning

confidence: 99%

Enhanced Förster Resonance Energy Transfer on Single Metal Particle. 2. Dependence on Donor−Acceptor Separation Distance, Particle Size, and Distance from Metal Surface

et al. 2007

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“…The process is repeated several times until steady state is reached. It is of interest to note that, the essence of sampling at equidistant spatial and time intervals is to avoid undesirable phenomenon known as aliasing and to stabilize time-marching system [6]. The method yields desired solutions for the unknown electromagnetic fields without matrix inversion and it requires lower running time.…”

Section: Time Domain Techniquesmentioning

confidence: 99%

A Study of Time-Domain and Frequency- Domain Techniques in Electromagnetics

Abimbola¹

2017

CAE

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Before the advent of digital computer, analytical techniques were used for determining idealized solutions of electromagnetic problems, most especially problems of simple geometry or design. When the size of the problem becomes large that the analytical technique is unable to yield solutions of desired accuracy, approximate solutions are sought by using digital computer and numerical technique. This paper examines various numerical techniques suitable for solving electromagnetic problems. It is emphasized in the paper, the strengths and weaknesses of these techniques in tackling a particular problem. Because of the significance of retarded potentials in formulating integral equations that are solved by method of moment technique, effort is also geared towards deriving expressions for these potentials when sources are constrained to the axis, surface and volume of the conducting body.

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“…Figure 4 shows the input impedance (Z in ) of the two considered structures against number of modes of waveguides in the frequency range [0, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. It is obvious that for all structures, the Z in 's convergence is obtained for 100 modes of waveguides.…”

Section: Convergence Studymentioning

confidence: 99%

“…They can be classified as different categories according to their formulation and their analysis domain. Some are called full wave methods such as MoM, FEM [1,2], FDTD [3][4][5], TLM [6,7]. They provide an approximate solution by numerically solving Maxwell's equations, in differential or integral form.…”

Section: Introductionmentioning

confidence: 99%

A New Hybrid Mom-Gec Asymptotic Method for Electromagnetic Scattering Computation in Waveguides

Hajji¹,

Mendil²,

Aguili³

2014

PIER B

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Abstract-This paper presents a new hybridization between MoM-GEC and some asymptotic methods. In fact, a new hybrid current function based on Physical Optic (PO) and a modal method is developed. The approach consists in approximating the total current on an invariant metallic pattern on two parts; the inside of metal is governed by PO method; however, the edges are modeled by infinite cylinders and described by Hankel functions (modal method). The considered single test function is required then by MoM method to replace a lot of sinusoidal or triangular test functions, in order to get a rapid convergence and less computational time. For validation purposes, the new developed hybrid approach is applied to compute scattering in different structures. The obtained input impedances, currents and fields distributions are in agreement with those obtained by MoM method. Considerable gain in computational time and memory resources is achieved.

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Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations

Cited by 1,118 publications

References 3 publications

Enhanced Förster Resonance Energy Transfer on Single Metal Particle. 2. Dependence on Donor−Acceptor Separation Distance, Particle Size, and Distance from Metal Surface

Enhanced Förster Resonance Energy Transfer on Single Metal Particle. 2. Dependence on Donor−Acceptor Separation Distance, Particle Size, and Distance from Metal Surface

A Study of Time-Domain and Frequency- Domain Techniques in Electromagnetics

A New Hybrid Mom-Gec Asymptotic Method for Electromagnetic Scattering Computation in Waveguides

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