Abstract

We present calculations of the modification of the spontaneous emission rate from a point source dipole in a Fabry-Perot microcavity containing an optically thin dielectric aperture. The dielectric aperture is described as a passive current source which is driven by the spontaneous point source. The spontaneous emission rate is shown to depend on the details of the aperture design, and shows a strong enhancement on resonance due to 3-dimensional optical confinement by the dielectric aperture.

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References

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  1. D.G. Deppe and C. Lei, "Spontaneous emission from a dipole in a semiconductor microcavity," J. Appl. Phys. 70, 3443-3448 (1991).
    [CrossRef]
  2. G. Bjork, S. Machida, Y. Yamamoto, and K. Igeta, "Modification of spontaneous emission rate in planar dielectric microcavity structures" Phys. Rev. A 44, 669-681 (1991).
    [CrossRef] [PubMed]
  3. K. Ujihara, "Spontaneous emission and the concept of effective area in a very short cavity with plane parallel dielectric mirrors," Jpn. J. Appl. Phys. , Part 2 30, L901-L903 (1991).
    [CrossRef]
  4. N. Ochi, T. Shiotani, M. Yaminishi, Y. Honda, and I. Suemune, "Controllable enhancement of excitonic spontaneous emission in quantum microcavities," Appl. Phys. Lett. 58, 2735-2737 (1991).
    [CrossRef]
  5. D.L. Huffaker, Z. Huang, C. Lei, D.G. Deppe, C.J. Pinzone, J.G. Neff, and R.D. Dupuis, "Controlled spontaneous emission in room temperature semiconductor microcavities," Appl. Phys. Lett. 60, 3202-3205 (1992).
    [CrossRef]
  6. C.C. Lin, D.G. Deppe, and C. Lei, "Role of waveguide light emission in planar microcavities," IEEE J. Quantum Electron. 30, 2304-2313 (1994).
    [CrossRef]
  7. G. Bjork, "On the spontaneous lifetime change in an ideal planar microcavity - transition from a mode continuum to quantized modes," IEEE J. Quantum Electron. 30, 2314-2318 (1994).
    [CrossRef]
  8. C.C. Lin and D.G. Deppe, "Calculation of lifetime dependence of Er3+ on cavity length in dielectric half-wave and full-wave microcavities," J. Appl. Phys. 75, 4668-4672 (1994).
    [CrossRef]
  9. Q. Deng and D.G. Deppe, "Spontaneous-emission coupling from multiemitters to the quasimode of a Fabry-Perot microcavity," Phys. Rev. A 53, 1036-1047 (1996).
    [CrossRef] [PubMed]
  10. D.L. Huffaker, D.G. Deppe, K. Kumar, and T.J. Rogers, "Native-oxide defined ring contact for low threshold vertical-cavity lasers," Appl. Phys. Lett. 64, 97-99 (1994).
    [CrossRef]
  11. J.M. Dallesasse, N. Holonyak, Jr., A.R. Sugg, T.A. Richard, and N. El-Zein, "Hydrolization oxidation of AlGaAs-AlAs-GaAs quantum well heterostructures," Appl. Phys. Lett. 57, 2844-2846 (1990).
    [CrossRef]
  12. D.L. Huffaker and D.G. Deppe, "Spontaneous coupling to planar and index-confined quasimodes of Fabry-Perot microcavities," Appl. Phys. Lett. 67, 2494-2596 (1995).
    [CrossRef]
  13. D.G. Deppe and Q. Deng, "Eigenmode analysis of the dielectrically-apertured Fabry-Perot microcavity and its relation to self-focusing in the vertical-cavity surface-emitting laser," Appl. Phys. Lett. 71, 160-162 (1997).
    [CrossRef]
  14. Q. Deng and D.G. Deppe, "Self-consistent calculation of the lasing eigenmode of the dielectrically-apertured Fabry-Perot microcavity with idealized or distributed Bragg reflectors," IEEE J. Quantum Electron. 33, 2319-2326 (1997).
    [CrossRef]
  15. D.G. Deppe, T.-H. Oh, and D.L. Huffaker, "Eigenmode confinement in the dielectrically apertured Fabry-Perot microcavity," IEEE Photonics Technol. Lett. 9, 713-715 (1997).
    [CrossRef]
  16. R.F. Harrington, Time-Harmonic Electromagnetic Fields (McGraw-Hill, New York, 1961) pg. 188.

Other (16)

D.G. Deppe and C. Lei, "Spontaneous emission from a dipole in a semiconductor microcavity," J. Appl. Phys. 70, 3443-3448 (1991).
[CrossRef]

G. Bjork, S. Machida, Y. Yamamoto, and K. Igeta, "Modification of spontaneous emission rate in planar dielectric microcavity structures" Phys. Rev. A 44, 669-681 (1991).
[CrossRef] [PubMed]

K. Ujihara, "Spontaneous emission and the concept of effective area in a very short cavity with plane parallel dielectric mirrors," Jpn. J. Appl. Phys. , Part 2 30, L901-L903 (1991).
[CrossRef]

N. Ochi, T. Shiotani, M. Yaminishi, Y. Honda, and I. Suemune, "Controllable enhancement of excitonic spontaneous emission in quantum microcavities," Appl. Phys. Lett. 58, 2735-2737 (1991).
[CrossRef]

D.L. Huffaker, Z. Huang, C. Lei, D.G. Deppe, C.J. Pinzone, J.G. Neff, and R.D. Dupuis, "Controlled spontaneous emission in room temperature semiconductor microcavities," Appl. Phys. Lett. 60, 3202-3205 (1992).
[CrossRef]

C.C. Lin, D.G. Deppe, and C. Lei, "Role of waveguide light emission in planar microcavities," IEEE J. Quantum Electron. 30, 2304-2313 (1994).
[CrossRef]

G. Bjork, "On the spontaneous lifetime change in an ideal planar microcavity - transition from a mode continuum to quantized modes," IEEE J. Quantum Electron. 30, 2314-2318 (1994).
[CrossRef]

C.C. Lin and D.G. Deppe, "Calculation of lifetime dependence of Er3+ on cavity length in dielectric half-wave and full-wave microcavities," J. Appl. Phys. 75, 4668-4672 (1994).
[CrossRef]

Q. Deng and D.G. Deppe, "Spontaneous-emission coupling from multiemitters to the quasimode of a Fabry-Perot microcavity," Phys. Rev. A 53, 1036-1047 (1996).
[CrossRef] [PubMed]

D.L. Huffaker, D.G. Deppe, K. Kumar, and T.J. Rogers, "Native-oxide defined ring contact for low threshold vertical-cavity lasers," Appl. Phys. Lett. 64, 97-99 (1994).
[CrossRef]

J.M. Dallesasse, N. Holonyak, Jr., A.R. Sugg, T.A. Richard, and N. El-Zein, "Hydrolization oxidation of AlGaAs-AlAs-GaAs quantum well heterostructures," Appl. Phys. Lett. 57, 2844-2846 (1990).
[CrossRef]

D.L. Huffaker and D.G. Deppe, "Spontaneous coupling to planar and index-confined quasimodes of Fabry-Perot microcavities," Appl. Phys. Lett. 67, 2494-2596 (1995).
[CrossRef]

D.G. Deppe and Q. Deng, "Eigenmode analysis of the dielectrically-apertured Fabry-Perot microcavity and its relation to self-focusing in the vertical-cavity surface-emitting laser," Appl. Phys. Lett. 71, 160-162 (1997).
[CrossRef]

Q. Deng and D.G. Deppe, "Self-consistent calculation of the lasing eigenmode of the dielectrically-apertured Fabry-Perot microcavity with idealized or distributed Bragg reflectors," IEEE J. Quantum Electron. 33, 2319-2326 (1997).
[CrossRef]

D.G. Deppe, T.-H. Oh, and D.L. Huffaker, "Eigenmode confinement in the dielectrically apertured Fabry-Perot microcavity," IEEE Photonics Technol. Lett. 9, 713-715 (1997).
[CrossRef]

R.F. Harrington, Time-Harmonic Electromagnetic Fields (McGraw-Hill, New York, 1961) pg. 188.

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Figures (3)

Fig. 1.
Fig. 1.

Schematic illustrating the idealized Fabry-Perot microcavity with a dielectric aperture. The chosen coordinate system is also shown in the figure.

Fig. 2.
Fig. 2.

Change of spontaneous emission rate versus frequency.

Fig. 3
Fig. 3

Calculated plots of the spontaneous near field profiles E(x,y,0,ω) of Eq. (4).

Equations (5)

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J sp ( r , t ) = a J Δ 3 r n δ ( r r n ) J sp ( t )
J d ( x , y , ω ) = ε o χ R ( x , y , ω ) Δ z R δ ( z ) E ( x , y , 0 , ω ) .
× H ( r , ω ) = J ( r , ω ) iωε ( r , ω ) E ( r , ω )
E ( k x , k y , 0 , ω ) = 1 2 ωε k 2 k x 2 k y 2 1 + ρ e iL k 2 k x 2 k y 2 1 ρ e iL k 2 k x 2 k y 2 .
{ k × [ k × ( dk x dk y ( ε o 4 π 2 ) Δ z R χ R ( k x , k y , ω ) E ( k x k x , k y k y , 0 , ω ) ) + J sp Δ 3 r n ] }

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