## On the Purcell effect beyond the dipole approximation

Publication: Research - peer-review › Article in proceedings – Annual report year: 2012

### Standard

**On the Purcell effect beyond the dipole approximation.** / Kristensen, Philip Trøst; Mortensen, Jakob Egeberg; Lodahl, Peter; Stobbe, Søren.

Publication: Research - peer-review › Article in proceedings – Annual report year: 2012

### Harvard

*AIP Conference Proceedings.*vol. 1475, American Institute of Physics, pp. 68-70. A I P Conference Proceedings Series, , 10.1063/1.4750098

### APA

*AIP Conference Proceedings.*(Vol. 1475, pp. 68-70). American Institute of Physics. (A I P Conference Proceedings Series). 10.1063/1.4750098

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### MLA

*AIP Conference Proceedings.*American Institute of Physics. 2012. 68-70. (A I P Conference Proceedings Series). Available: 10.1063/1.4750098

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### Author

### Bibtex

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### RIS

TY - GEN

T1 - On the Purcell effect beyond the dipole approximation

AU - Kristensen,Philip Trøst

AU - Mortensen,Jakob Egeberg

AU - Lodahl,Peter

AU - Stobbe,Søren

PB - American Institute of Physics

PY - 2012

Y1 - 2012

N2 - We investigate spontaneous emission from excitons in quantum dots beyond the dipole approximation and show how the symmetry of the exciton wavefunction plays a crucial role. We show explicitly that for spherically symmetric excitons, the Purcell effect is independent of the exciton size and is governed by the local density of optical states at the center of the exciton only, which is identical to the result derived with the dipole approximation. This surprising result is a spontaneous emission counterpart to the shell theorem of classical mechanics and electrostatics and provides new insights to the physics of mesoscopic emitters as well as great simplifications in practical calculations.

AB - We investigate spontaneous emission from excitons in quantum dots beyond the dipole approximation and show how the symmetry of the exciton wavefunction plays a crucial role. We show explicitly that for spherically symmetric excitons, the Purcell effect is independent of the exciton size and is governed by the local density of optical states at the center of the exciton only, which is identical to the result derived with the dipole approximation. This surprising result is a spontaneous emission counterpart to the shell theorem of classical mechanics and electrostatics and provides new insights to the physics of mesoscopic emitters as well as great simplifications in practical calculations.

U2 - 10.1063/1.4750098

DO - 10.1063/1.4750098

SN - 978-0-7354-1084-8

VL - 1475

BT - AIP Conference Proceedings

T2 - AIP Conference Proceedings

T3 - A I P Conference Proceedings Series

T3 - en_GB

SP - 68

EP - 70

ER -