Exact property of the nonequilibrium photon Green function for bounded media

Henneberger, K.; Richter, Felix

doi:10.1103/physreva.80.013807

Cited by 12 publications

(14 citation statements)

References 15 publications

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“…Substituting these expressions into (26)- (27) and (31)-(32) one obtains decay-rate correction functions that are in agreement with the results of [21].…”

Section: Integral Representations For the Decay-rate Correction Fsupporting

confidence: 73%

“…The integral representations as given above are a suitable starting-point to derive the asymptotic behavior of the decay-rate correction functions for r tending to ∞. When r increases, the variable ζ = kr in the J l -integrals (26)- (27) and (31)-(32) gets large. Hence, the integration variable t in these integrals is large as well, so that one may insert the asymptotic form [31] of the spherical Hankel function h (1) l (t) (−i) l+1 e it /t and its derivative d[th (1) l (t)]/dt (−i) l e it in the integrands.…”

Section: Integral Representations For the Decay-rate Correction Fmentioning

confidence: 99%

“…For positions near the surface of the spherical domain containing the scatterers the decay-rate correction functions turn out to diverge. For cold scatterers and a longitudinal atomic polarization this follows by considering the integrals J q c, ,l (ζ) (with q = e, m) for large l. Since for these values the spherical Hankel function gets the form h (1) l (t) −i 2 l+1/2 l l /(e l t l+1 ) [31], the integrals (26) and (27) can be evaluated explicitly. One gets:…”

Section: Integral Representations For the Decay-rate Correction Fmentioning

confidence: 99%

“…The decay-rate correction functions F c, andF c,⊥ for cold scatterers, as given by (25) and (30), depend on the distance r via the integrals J q c,p,l , with p = , ⊥ and q = e, m. Inspection of (26), (27), (31) and (32) shows that these integrals can be written as linear combinations of a set of basic integrals over the product of two spherical Hankel functions with an algebraic prefactor:…”

Section: Evaluation Of the Decay-rate Correction Functionsmentioning

confidence: 99%

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Modified atomic decay rate near absorptive scatterers at finite temperature

Suttorp

Wonderen

2015

Phys. Rev. A

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The change in the decay rate of an excited atom that is brought about by extinction and thermal-radiation effects in a nearby dielectric medium is determined from a quantum-mechanical model. The medium is a collection of randomly distributed thermally excited spherical scatterers with absorptive properties. The modification of the decay rate is described by a set of correction functions for which analytical expressions are obtained as sums over contributions from the multipole moments of the scatterers. The results for the modified decay rate as a function of the distance between the excited atom and the dielectric medium show the influence of absorption, scattering and thermal-radiation processes. Some of these processes are found to be mutually counteractive. The changes in the decay rate are compared to those following from an effective-medium theory in which the discrete scatterers are replaced by a continuum.

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“…Substituting these expressions into (26)- (27) and (31)-(32) one obtains decay-rate correction functions that are in agreement with the results of [21].…”

Section: Integral Representations For the Decay-rate Correction Fsupporting

confidence: 73%

Section: Integral Representations For the Decay-rate Correction Fmentioning

confidence: 99%

Section: Integral Representations For the Decay-rate Correction Fmentioning

confidence: 99%

Section: Evaluation Of the Decay-rate Correction Functionsmentioning

confidence: 99%

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Modified atomic decay rate near absorptive scatterers at finite temperature

Suttorp

Wonderen

2015

Phys. Rev. A

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“…Nevertheless, we were able to derive some fundamental relations and laws for such systems. [5][6][7] We define the "electromagnetic Poynting vector" to be the purely electromagnetic energy flux vector S e , Eq. ͑1͒, that appears in the energy conservation equation, Eq.…”

mentioning

confidence: 99%

Comment on “Poynting vector, heating rate, and stored energy in structured materials: A first-principles derivation”

2010

Self Cite

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In Phys. Rev. B 80, 235120 ͑2009͒, M. G. Silveirinha criticizes our work on Poynting's theorem and energy conservation in systems with bounded media ͓EPL 81, 67005 ͑2008͔͒, especially with regard to our argumentation toward S = 1 0 ͑E ϫ B͒ as a generally valid energy flux vector. We fully rebut the criticism, point out that it is based on undue comparison, clear up some misunderstandings and show that Silveirinha's approach is rather a restricted than a general one.is a purely electromagnetic energy flux vector ͑Poynting vec-tor͒, which constitutes together with the electromagnetic field energy densityand the dissipation −jE a universally valid energy conservation law ͑Poynting theorem͒,in which all quantities are well defined and have a clear physical meaning. We also point out problems that exist with the historical form of the Poynting vector,when general ͑realistic͒ media properties are considered. ͑In absence of magnetization, of course, both variants coincide, since H = 1 0 B in this case.͒ In Ref. 2, a "macroscopic Poynting vector" is derived together with other quantities in a composite medium, which the author eventually finds to coincide with "usual textbook formulas." Comparing his findings to ours, he blames our work for "erroneous conclusions," "unsubstantiated claims," and "fundamental misconceptions and mistakes."We will show here that there are rather misunderstandings and mistakes from the author's part, and take the chance to clarify things from our perspective. We need to proceed carefully because the author's notion of several terms is different from ours. We underline that our results do not contradict classical textbooks, 3,4 but rather extent and concretize their accounts. The warnings contained in these books concerning the validity of Eq. ͑4͒ seemingly have been largely overlooked.Our approach 1 starts from a consideration of the system under study as a classical ensemble of charged pointlike particles which are subjected to Newton's laws of motion and are in interaction with physical electromagnetic fields E, B governed by Maxwell's equations and the Lorentz force law. This constitutes a fundamental and purely axiomatic basis for the theory. Its quantum-statistical generalization is straightforward and leads to identical relations for the expectation values. The author of Ref. 2 interprets this as a "phenomenological model," an interpretation which we strongly reject.Matter may be arbitrarily complex, but it will always be possible to decompose it into an ensemble of charged particles. This way, there is neither a need to describe the properties of matter, nor to consider medium boundaries, to establish proper boundary conditions or even to find a proper definition of where the boundary of a medium in a microscopic picture lies.The electromagnetic fields E, B in our approach are not averaged in any sense, neither spatially nor temporally ͑except for the quantum-statistical expectation value being taken͒, and are always given in the space and time domains. Here, our notion of the term "mi...

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Simulation of photon recycling in ultra-thin solar cells

Aeberhard

2022

J Comput Electron

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A comprehensive quantum-kinetic simulation framework considering both the optical confinement and the electronic effects of finite size and strong built-in fields is introduced to assess the impact of photon recycling on the photovoltaic performance of ultra-thin absorber solar cells. The radiative recombination accounts for the actual photon density of states that is modified by cavity effects and plasmonic resonances, and via coupling to a quantum transport formalism, the impact of photon recycling is propagated from rigorous wave optical simulation of secondary photogeneration directly into a modification of the current–voltage characteristics of the full photovoltaic device. The self-consistent microscopic treatment of the interacting electronic and optical degrees of freedom in a functional device context elucidates the impact on photovoltaic performance of nanoscale device design in terms of band profiles and contact layers by revealing their effect on the radiative rates and currents. As an example, plasmonic losses related to metallic reflectors are identified in both, emission and re-absorption, and partial mitigation is achieved via dielectric passivation or detaching of the reflector.

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Exact property of the nonequilibrium photon Green function for bounded media

Cited by 12 publications

References 15 publications

Modified atomic decay rate near absorptive scatterers at finite temperature

Modified atomic decay rate near absorptive scatterers at finite temperature

Comment on “Poynting vector, heating rate, and stored energy in structured materials: A first-principles derivation”

Simulation of photon recycling in ultra-thin solar cells

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