An antenna model for the Purcell effect

Alexander E. Krasnok; Alexey P. Slobozhanyuk; Constantin R. Simovski; Sergei A. Tretyakov; Alexander N. Poddubny; Andrey E. Miroshnichenko; Yuri S. Kivshar; Pavel A. Belov

doi:10.1038/srep12956

An antenna model for the Purcell effect

Alexander E. Krasnok^*, Alexey P. Slobozhanyuk, Constantin R. Simovski, Sergei A. Tretyakov, Alexander N. Poddubny, Andrey E. Miroshnichenko, Yuri S. Kivshar, Pavel A. Belov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

175 Citations (Scopus)

Abstract

The Purcell effect is defined as a modification of the spontaneous emission rate of a quantum emitter at the presence of a resonant cavity. However, a change of the emission rate of an emitter caused by an environment has a classical counterpart. Any small antenna tuned to a resonance can be described as an oscillator with radiative losses, and the effect of the environment on its radiation can be modeled and measured in terms of the antenna radiation resistance, similar to a quantum emitter. We exploit this analogue behavior to develop a general approach for calculating the Purcell factors of different systems and various frequency ranges including both electric and magnetic Purcell factors. Our approach is illustrated by a general equivalent scheme, and it allows resenting the Purcell factor through the continuous radiation of a small antenna at the presence of an electromagnetic environment.

Original language	English
Article number	12956
Journal	Scientific Reports
Volume	5
DOIs	https://doi.org/10.1038/srep12956
Publication status	Published - 10 Aug 2015

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title = "An antenna model for the Purcell effect",

abstract = "The Purcell effect is defined as a modification of the spontaneous emission rate of a quantum emitter at the presence of a resonant cavity. However, a change of the emission rate of an emitter caused by an environment has a classical counterpart. Any small antenna tuned to a resonance can be described as an oscillator with radiative losses, and the effect of the environment on its radiation can be modeled and measured in terms of the antenna radiation resistance, similar to a quantum emitter. We exploit this analogue behavior to develop a general approach for calculating the Purcell factors of different systems and various frequency ranges including both electric and magnetic Purcell factors. Our approach is illustrated by a general equivalent scheme, and it allows resenting the Purcell factor through the continuous radiation of a small antenna at the presence of an electromagnetic environment.",

author = "Krasnok, {Alexander E.} and Slobozhanyuk, {Alexey P.} and Simovski, {Constantin R.} and Tretyakov, {Sergei A.} and Poddubny, {Alexander N.} and Miroshnichenko, {Andrey E.} and Kivshar, {Yuri S.} and Belov, {Pavel A.}",

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T1 - An antenna model for the Purcell effect

AU - Krasnok, Alexander E.

AU - Slobozhanyuk, Alexey P.

AU - Simovski, Constantin R.

AU - Tretyakov, Sergei A.

AU - Poddubny, Alexander N.

AU - Miroshnichenko, Andrey E.

AU - Kivshar, Yuri S.

AU - Belov, Pavel A.

PY - 2015/8/10

Y1 - 2015/8/10

N2 - The Purcell effect is defined as a modification of the spontaneous emission rate of a quantum emitter at the presence of a resonant cavity. However, a change of the emission rate of an emitter caused by an environment has a classical counterpart. Any small antenna tuned to a resonance can be described as an oscillator with radiative losses, and the effect of the environment on its radiation can be modeled and measured in terms of the antenna radiation resistance, similar to a quantum emitter. We exploit this analogue behavior to develop a general approach for calculating the Purcell factors of different systems and various frequency ranges including both electric and magnetic Purcell factors. Our approach is illustrated by a general equivalent scheme, and it allows resenting the Purcell factor through the continuous radiation of a small antenna at the presence of an electromagnetic environment.

AB - The Purcell effect is defined as a modification of the spontaneous emission rate of a quantum emitter at the presence of a resonant cavity. However, a change of the emission rate of an emitter caused by an environment has a classical counterpart. Any small antenna tuned to a resonance can be described as an oscillator with radiative losses, and the effect of the environment on its radiation can be modeled and measured in terms of the antenna radiation resistance, similar to a quantum emitter. We exploit this analogue behavior to develop a general approach for calculating the Purcell factors of different systems and various frequency ranges including both electric and magnetic Purcell factors. Our approach is illustrated by a general equivalent scheme, and it allows resenting the Purcell factor through the continuous radiation of a small antenna at the presence of an electromagnetic environment.

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An antenna model for the Purcell effect

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