Accurate and efficient computation of the Green’s tensor for stratified media

Paulus, Michael J.; Gay-Balmaz, Phillipe; Martin, Olivier J. F.

doi:10.1103/physreve.62.5797

Cited by 271 publications

(259 citation statements)

References 19 publications

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“…e.g. Paulus et al [21]), on the other hand, one deforms the integral path such that the integrand decays exponentially on the new integral path. Then the integral can be computed numerically over small intervals.…”

Section: The Methods Of Fourier Transformmentioning

confidence: 99%

Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media

Chen¹,

Zheng²

2010

SIAM J. Numer. Anal.

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Abstract. In this paper, we propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. The exterior region of the scatterer is divided into two half spaces by an infinite plane, on two sides of which the wave number takes different values. We surround the computational domain where the scattering field is interested by a PML layer with the uniaxial medium property. By imposing homogenous boundary condition on the outer boundary of the PML layer, we show that the solution of the PML problem converges exponentially to the solution of the original scattering problem in the computational domain as either the PML absorbing coefficient or the thickness of the PML layer tends to infinity.

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Section: The Methods Of Fourier Transformmentioning

confidence: 99%

Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media

Chen¹,

Zheng²

2010

SIAM J. Numer. Anal.

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“…As an illustration, Figure 9a shows the magnitude of the E x and E z electric field components due to VED, while Figure 9b plots |E x |, |E y | and |E z | generated by HED. In both panels, the result of present calculations is compared to those shown by Simsek et al [2006], Paulus et al [2000], and Simsek (E. Simsek, personal communication, 2010). Again, overall the agreement between the results is good, thus verifying the fidelity of the proposed analytical and computational treatment.…”

Section: Resultsmentioning

confidence: 99%

“…[46] The second example deals with the four-layer system depicted in Figure 8 with " 1 = 2" 0 , " 2 = 10" 0 , " 3 = " 0 , s j = 0, and m j = m 0 (j = 0, 1, 2, 3) as shown by Paulus et al [2000] (note that o = " 2 and m o = m 0 in this case). Each of the two "internal" layers, sandwiched between the half-spaces, is 500 nm thick (h 1 = h 2 = 0.5 mm).…”

Section: Resultsmentioning

confidence: 99%

Field forms of the layered electromagnetic Green's functions by TE and TM potentials

Cao

Guzina

2011

Radio Science

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[1] A complete set of 3D layered electromagnetic Green's functions in the spatial domain is derived by way of transverse electric and transverse magnetic potentials, featuring a "direct" formulation for the field forms of the spectral Green's functions. The improper integrals underpinning the computation of the corresponding point-load solutions in the spatial domain are evaluated via the method of asymptotic decomposition, wherein the singular behaviors are entirely extracted and integrated analytically-so that the remaining residual components can be computed effectively and accurately via adaptive numerical quadrature over a suitable contour path. It is also found that, in the spectral domain, the decay of the (numerically-integrated) residual field forms is commensurate with that of their potential-form counterparts, which eliminates the perceived gap between the computation of the field forms and respective potential forms of the Green's functions in the spatial domain. The effectiveness and accuracy of the proposed methodology is evaluated via comparison with relevant examples in the literature.Citation: Cao, Y., and B. B. Guzina (2011), Field forms of the layered electromagnetic Green's functions by TE and TM potentials, Radio Sci., 46, RS6003,

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“…For geometries with high symmetry, such as bulk media or layered planar, cylindrical, and spherical interfaces, the expressions for the Green's tensor are known analytically [28] and can be computed fast and accurately [29]. For more complex systems such as the present one, numerical techniques have to be applied.…”

Section: Atom-surface Interactionsmentioning

confidence: 99%

Coupling Thermal Atomic Vapor to Slot Waveguides

et al. 2018

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We study the interaction of thermal rubidium atoms with the guided mode of slot waveguides integrated in a vapor cell. Slot waveguides provide strong confinement of the light field in an area that overlaps with the atomic vapor. We investigate the transmission of the atomic cladding waveguides depending on the slot width, which determines the fraction of transmitted light power interacting with the atomic vapor. An elaborate simulation method has been developed to understand the behavior of the measured spectra. This model is based on individual trajectories of the atoms and includes both line shifts and decay rates due to atom-surface interactions that we have calculated for our specific geometries using the discrete dipole approximation. Furthermore, we investigate density-dependent effects on the line widths and line shifts of the rubidium atoms in the subwavelength interaction region of a slot waveguide.

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Accurate and efficient computation of the Green’s tensor for stratified media

Cited by 271 publications

References 19 publications

Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media

Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media

Field forms of the layered electromagnetic Green's functions by TE and TM potentials

Coupling Thermal Atomic Vapor to Slot Waveguides

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