2000
DOI: 10.1016/s0030-4018(00)00932-9
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Validity domain and limitation of non-retarded Green's tensor for electromagnetic scattering at surfaces

Abstract: This work gives a detailed derivation of the non-retarded dyadic Green's tensor associated with surfaces in the quasistatic approximation. The derivation is made from a rigorous model where the dyadic is expressed as Sommerfeld integrals. We then assess the domain where this approximation can be used for scattering calculations on surfaces by comparing rigorous and non-retarded solutions. Implications of this work for scattering calculations in near-®eld optics are ®nally discussed. Ó

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Cited by 33 publications
(27 citation statements)
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“…The mesh used for the calculation provides an accurate description of the antennas; the interested reader is referred to Refs. [44,45] for discussion of the convergence of the method and to Ref.…”
Section: Methods and Geometrymentioning
confidence: 99%
“…The mesh used for the calculation provides an accurate description of the antennas; the interested reader is referred to Refs. [44,45] for discussion of the convergence of the method and to Ref.…”
Section: Methods and Geometrymentioning
confidence: 99%
“…Real photon propagation occurs when the half-space begins to interact with the system and multiple paths are possible for a photon to reach r from r ′ . The quasi-static approximation is often invoked for particles very close to a surface or to each other 55 , and this approximation holds for the imaginary part of the LDOS as the surface is approached at the SPP frequency; the real part deviates significantly in this limit. However, when the incident frequency is detuned from the SPP (ω = 2.63 eV), the quasi-static approximation again becomes valid.…”
Section: Silver Half-spacementioning
confidence: 99%
“…In systems where the particle size is significantly smaller than the wavelength of light, each nanoparticle can be represented by a single dipole with a finite polarizability [23]. In this paper, we assume that each nanoparticle is represented by a single dipole with an arbitrary orientation.…”
Section: Theoretical Formulationmentioning
confidence: 99%
“…Optimization of a plasmonic structure for a particular application is made easier via the use of various computational tools. Most numerical techniques such as the FEM [19][20][21], the Green's tensor approach [22][23][24], discrete dipole approximation (DDA) [25,26], the boundary elements method (BEM) [27][28][29][30], and the surface integral equation (SIE) [31][32][33] compute the response of the structure due to an incident excitation.…”
Section: Introductionmentioning
confidence: 99%