Dyadic Green's functions for a coaxial line

Tai, Chen-To

doi:10.1109/tap.1983.1143029

Cited by 25 publications

(1 citation statement)

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“…There are several cases where analytic expressions for the Green function are known, e.g. systems such as conducting spheres and cylinders [74], coaxial waveguides [75], and graphene [76]), and these can be applied to obtain expressions for the PLDOS. The simplest case is probably an infinite homogeneous medium of permittivity ò and permeability μ, which we give for reference (and shall use later).…”

Section: E Does Work On the Current Jmentioning

confidence: 99%

Classical antennas, quantum emitters, and densities of optical states

Barnes

Horsley

Vos

2020

J. Opt.

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We provide a pedagogical introduction to the concept of the local density of optical states (LDOS), illustrating its application to both the classical and quantum theory of radiation. We show that the LDOS governs the efficiency of a macroscopic classical antenna, determining how the antenna's emission depends on its environment. The LDOS is shown to similarly modify the spontaneous emission rate of a quantum emitter, such as an excited atom, molecule, ion, or quantum dot that is embedded in a nanostructured optical environment. The difference between the number density of optical states, the local density of optical states, and the partial local density of optical states is elaborated and examples are provided for each density of states to illustrate where these are required. We illustrate the universal effect of the LDOS on emission by comparing systems with emission wavelengths that differ by more than 5 orders of magnitude, and systems whose decay rates differ by more than 5 orders of magnitude. To conclude we discuss and resolve an apparent difference between the classical and quantum expressions for the spontaneous emission rate that often seems to be overlooked, and discuss the experimental determination of the LDOS. arXiv:1909.05619v1 [physics.optics] 12 Sep 2019Classical antennae, quantum emitters, and densities of optical states ‡ It is even more subtle: the two contributions are only equal under the assumption of a two level atom (see [2], chapter 4), but this is beyond the scope of the present article. § The excited-state lifetime τ is equivalent to the half-life t 1/2 that is well-known in nuclear physics: t 1/2 = τ ln(2).

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Section: E Does Work On the Current Jmentioning

confidence: 99%

Classical antennas, quantum emitters, and densities of optical states

Barnes

Horsley

Vos

2020

J. Opt.

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Green's Function Methods

Jin

Chew

1999

Wiley Encyclopedia of Electrical and Electronics Engineering

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Green's Function Methods

Jin

Chew

2005

Encyclopedia of RF and Microwave Engineering

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The Greens function method is a powerful techniques for solving boundary value problems. Greens function was named after George Green (17931841), who developed a general method to obtain solutions of Poissons equation in potential theory. This method was described in an essay by Green entitled “On the application of mathematical analysis to the theories of electricity and magnetism,” published in 1828.

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Dyadic Green's functions for a coaxial line

Cited by 25 publications

References 2 publications

Classical antennas, quantum emitters, and densities of optical states

Classical antennas, quantum emitters, and densities of optical states

Green's Function Methods

Green's Function Methods

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