2019
DOI: 10.1209/0295-5075/126/13001
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Finite-element method for obtaining the regularized photon Green function in lossy material

Abstract: Photon Green function (GF) is the vital and most decisive factor in the field of quantum light-matter interaction. It is divergent with two equal space arguments in arbitraryshaped lossy structure and should be regularized. We introduce a finite element method for calculating the regularized GF. It is expressed by the averaged radiation electric field over the finite-size of the photon emitter. For emitter located in homogeneous lossy material, excellent agreement with the analytical results is found for both … Show more

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Cited by 9 publications
(11 citation statements)
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“…It is only at zero frequency that one can judge whether a bound state exists or not from the real part for the coupling strength Re g rr (0) = Re[d * · G(r 0 , r 0 , 0) · d]/ πε 0 . Here, the photon GF G(r 0 , r 0 , 0) can be obtained by numerous methods [66][67][68][69][70][71][72][73][74][75][76][77]83]. For example, direct electrostatics methods based on solving the Poisson equation, such as the method of images, the method based on separation of variables, the finite element method (FEM), the boundary element method and so on, can be applied.…”
Section: Theory and Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…It is only at zero frequency that one can judge whether a bound state exists or not from the real part for the coupling strength Re g rr (0) = Re[d * · G(r 0 , r 0 , 0) · d]/ πε 0 . Here, the photon GF G(r 0 , r 0 , 0) can be obtained by numerous methods [66][67][68][69][70][71][72][73][74][75][76][77]83]. For example, direct electrostatics methods based on solving the Poisson equation, such as the method of images, the method based on separation of variables, the finite element method (FEM), the boundary element method and so on, can be applied.…”
Section: Theory and Methodsmentioning
confidence: 99%
“…In addition, we will propose a general criterion for identifying the existence of a bound state for a QE located in an arbitrary nonostructure. We will show that the photon Green's function (GF) at zero frequency, which can be calculated by numerous methods [66][67][68][69][70][71][72][73][74][75][76][77], is suffice. This can greatly simplify the problem.…”
Section: Introductionmentioning
confidence: 99%
“…(1) and (2)] can be solved with a commercial software based on the finite-element method (FEM), COMSOL MULTIPHYSICS, which has been widely used in the plasmonic community, for example see Refs. [14,16,53,60,61,[64][65][66][67][68]. For axis symmetric structures, the 2.5D technique can be applied to reduce the computational cost [60,61,66,69].…”
Section: A Convergence and Linewidth By Conventional Quantum Hydrodyn...mentioning
confidence: 99%
“…[14,16,53,60,61,[64][65][66][67][68]. For axis symmetric structures, the 2.5D technique can be applied to reduce the computational cost [60,61,66,69].…”
Section: A Convergence and Linewidth By Conventional Quantum Hydrodyn...mentioning
confidence: 99%
“…Based on the strong optical and mechanical interaction, optomechanical systems have potential applications in the fundamental research [28][29][30][31][32][33][34][35][36] and provide a promising platform for exploring quantum nonlinear phenomena [37,38], such as ground state cooling [39][40][41][42][43][44][45][46], entanglement in cavity optomechanical system [47][48][49]. Meanwhile, the cavity optomechanics could enable the exploration of a variety of optical processes.…”
Section: Introductionmentioning
confidence: 99%