Abstract

The recently demonstrated inductor-capacitor (LC) laser has a strongly subwavelength mode volume. In this Letter we investigate the Purcell effect in the LC laser resonator. An average Purcell factor of 17 is computed for the LC laser. The laser rate equations are formulated and solved for the LC laser. Evidence of a large Purcell factor in agreement with the theoretical one is obtained through comparison of the threshold and the emission characteristics of the LC laser with the rate equations.

© 2011 Optical Society of America

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  1. S. Haroche and D. Kleppner, Phys. Today 42, 24 (1989).
    [CrossRef]
  2. E. Purcell, Phys. Rev. 69, 681 (1946).
    [CrossRef]
  3. J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
    [CrossRef]
  4. Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
    [CrossRef]
  5. C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
    [CrossRef] [PubMed]
  6. J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
    [CrossRef] [PubMed]
  7. C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
    [CrossRef]
  8. A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford U. Press, 2007).
    [CrossRef]
  9. C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
    [CrossRef]
  10. A. Yariv, Quantum Electronics, 3rd ed. (Wiley, 1989).
  11. L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
    [CrossRef]
  12. J. Greffet, M. Laroche, and F. Marquier, Phys. Rev. Lett. 105, 117701 (2010).
    [CrossRef] [PubMed]
  13. G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
    [CrossRef]
  14. A. F. Koenderink, Opt. Lett. 35, 4208 (2010).
    [CrossRef] [PubMed]
  15. J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.
  16. G. Björk and Y. Yamamoto, IEEE J. Quantum Electron. 27, 2386 (1991).
    [CrossRef]
  17. C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
    [CrossRef]
  18. M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
    [CrossRef]
  19. R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
    [CrossRef] [PubMed]
  20. K. Yu, A. Lakhani, and M. C. Wu, Opt. Express 18, 8790(2010).
    [CrossRef] [PubMed]
  21. C. Walther is preparing a manuscript to be called “Design of terahertz LC resonators.”
  22. M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
    [CrossRef]

2010 (7)

J. Greffet, M. Laroche, and F. Marquier, Phys. Rev. Lett. 105, 117701 (2010).
[CrossRef] [PubMed]

C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
[CrossRef] [PubMed]

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

K. Yu, A. Lakhani, and M. C. Wu, Opt. Express 18, 8790(2010).
[CrossRef] [PubMed]

A. F. Koenderink, Opt. Lett. 35, 4208 (2010).
[CrossRef] [PubMed]

2009 (1)

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

2007 (4)

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
[CrossRef]

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford U. Press, 2007).
[CrossRef]

2006 (1)

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

2000 (1)

J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.

1998 (2)

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

1994 (1)

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

1991 (1)

G. Björk and Y. Yamamoto, IEEE J. Quantum Electron. 27, 2386 (1991).
[CrossRef]

1989 (2)

S. Haroche and D. Kleppner, Phys. Today 42, 24 (1989).
[CrossRef]

A. Yariv, Quantum Electronics, 3rd ed. (Wiley, 1989).

1946 (1)

E. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Abram, I.

Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
[CrossRef]

Amanti, M.

C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
[CrossRef] [PubMed]

Bartal, G.

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

Baumberg, J. J.

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford U. Press, 2007).
[CrossRef]

Beck, M.

C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
[CrossRef] [PubMed]

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

Beere, H.

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

Björk, G.

G. Björk and Y. Yamamoto, IEEE J. Quantum Electron. 27, 2386 (1991).
[CrossRef]

Bondarenko, O.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Capasso, F.

J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Cho, A.

J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Costard, E.

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Dunbar, L.

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

Fainman, Y.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Faist, J.

C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
[CrossRef] [PubMed]

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Feng, L.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Fischer, M.

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

Gayral, B.

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Geiser, M.

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

Gerard, J.

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Giovannini, M.

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

Greffet, J.

J. Greffet, M. Laroche, and F. Marquier, Phys. Rev. Lett. 105, 117701 (2010).
[CrossRef] [PubMed]

Haroche, S.

S. Haroche and D. Kleppner, Phys. Today 42, 24 (1989).
[CrossRef]

Houdré, R.

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

Hoyler, N.

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

Hutchinson, A.

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Kavokin, A. V.

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford U. Press, 2007).
[CrossRef]

Kleppner, D.

S. Haroche and D. Kleppner, Phys. Today 42, 24 (1989).
[CrossRef]

Koenderink, A. F.

Lakhani, A.

Laroche, M.

J. Greffet, M. Laroche, and F. Marquier, Phys. Rev. Lett. 105, 117701 (2010).
[CrossRef] [PubMed]

Laussy, F. P.

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford U. Press, 2007).
[CrossRef]

Legrand, B.

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Lomakin, V.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Ma, R.

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

Malpuech, G.

A. V. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford U. Press, 2007).
[CrossRef]

Marquier, F.

J. Greffet, M. Laroche, and F. Marquier, Phys. Rev. Lett. 105, 117701 (2010).
[CrossRef] [PubMed]

Minot, C.

Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
[CrossRef]

Mizrahi, A.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Nevou, L.

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

Nezhad, M. P.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Oulton, R. F.

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

Purcell, E.

E. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Ritchie, D.

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

Sagnes, I.

Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
[CrossRef]

Scalari, C. W. G.

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

Scalari, G.

C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
[CrossRef] [PubMed]

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

Sermage, B.

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Simic, A.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Sirigu, L.

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

Sirtori, C.

J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Sivco, D.

J. Faist, F. Capasso, C. Sirtori, D. Sivco, and A. Cho, in Intersubband Transitions in Quantum Wells: Physics and Device Applications II, H.Liu and F.Capasso, eds. (Academic, 2000), Vol.  66, Chap. 1, pp. 1–83.

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

J. Faist, F. Capasso, D. Sivco, C. Sirtori, A. Hutchinson, and A. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Slutsky, B.

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Sorger, V. J.

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

Terazzi, R.

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

Thierry-Mieg, V.

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Todorov, Y.

Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
[CrossRef]

Walther, C.

C. Walther, G. Scalari, M. Amanti, M. Beck, and J. Faist, Science 327, 1495 (2010).
[CrossRef] [PubMed]

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

C. Walther is preparing a manuscript to be called “Design of terahertz LC resonators.”

Wu, M. C.

Yamamoto, Y.

G. Björk and Y. Yamamoto, IEEE J. Quantum Electron. 27, 2386 (1991).
[CrossRef]

Yariv, A.

A. Yariv, Quantum Electronics, 3rd ed. (Wiley, 1989).

Yu, K.

Zhang, X.

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

Appl. Phys. Lett. (4)

C. Walther, M. Fischer, G. Scalari, R. Terazzi, N. Hoyler, and J. Faist, Appl. Phys. Lett. 91, 131122 (2007).
[CrossRef]

C. Walther, G. Scalari, J. Faist, H. Beere, and D. Ritchie, Appl. Phys. Lett. 89, 231121 (2006).
[CrossRef]

L. Dunbar, R. Houdré, G. Scalari, L. Sirigu, M. Giovannini, and J. Faist, Appl. Phys. Lett. 90, 141114 (2007).
[CrossRef]

M. Geiser, C. W. G. Scalari, M. Beck, M. Fischer, L. Nevou, and J. Faist, Appl. Phys. Lett. 97, 191107 (2010).
[CrossRef]

IEEE J. Quantum Electron. (2)

G. Björk and Y. Yamamoto, IEEE J. Quantum Electron. 27, 2386 (1991).
[CrossRef]

C. Sirtori, F. Capasso, J. Faist, A. Hutchinson, D. Sivco, and A. Cho, IEEE J. Quantum Electron. 34, 1722 (1998).
[CrossRef]

Laser Photon. Rev. (1)

G. Scalari, C. Walther, M. Fischer, R. Terazzi, H. Beere, D. Ritchie, and J. Faist, Laser Photon. Rev. 3, 45 (2009).
[CrossRef]

Nat. Mater. (1)

R. Ma, R. F. Oulton, V. J. Sorger, G. Bartal, and X. Zhang, Nat. Mater. 10, 110 (2010).
[CrossRef] [PubMed]

Nat. Photon. (1)

M. P. Nezhad, A. Simic, O. Bondarenko, B. Slutsky, A. Mizrahi, L. Feng, V. Lomakin, and Y. Fainman, Nat. Photon. 4, 395 (2010).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. (1)

E. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Phys. Rev. Lett. (3)

J. Gerard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Y. Todorov, I. Sagnes, I. Abram, and C. Minot, Phys. Rev. Lett. 99, 223603 (2007).
[CrossRef]

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C. Walther is preparing a manuscript to be called “Design of terahertz LC resonators.”

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Figures (2)

Fig. 1
Fig. 1

(a) The LC laser resonator consists of two half-circular-shaped capacitor plates connected with an inductor wire to form a circuit resonator. (b) Stark shift of the gain curve, determined through the measurement of the emission spectrum of different ridge waveguide lasers fabricated with the same active region and the cavity pulling effect on the laser modes. (c) Shift of the LC laser emission frequency by the cavity pulling effect.

Fig. 2
Fig. 2

The red (upper) and blue (lower) curves show the measured output power characteristics of the LC laser with and without the magnetic field. The solid black curve is a fit of the output power characteristic in the threshold regime using Eq. (6). The fit parameter is φ = 7.12 × 10 4 . The dashed black curves show the reproduced output characteristics assuming that the inversion ratio is dominated by the detuning term L ( J ) .

Equations (7)

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Γ c Γ 0 = 3 Q ( λ / n ) 3 4 π 2 V eff Δ ω e 2 4 ( ω c ω e ) 2 + Δ ω e 2 ( d · E ( r ) d E max ) 2 ,
F ¯ P = 3 Q e ( λ / n ) 3 4 π 2 V Γ ,
d N 3 d t = J q L N 3 τ 3 p β ( N 3 N 2 ) τ sp N 3 τ sp ,
d N 2 d t = N 3 τ 32 N 2 τ 2 + p β ( N 3 N 2 ) τ sp + N 3 τ sp ,
d p d t = p τ c + p β V ( N 3 N 2 ) τ sp + β V N 3 τ sp ,
p = ( ( r 1 ) + ( r 1 ) 2 + 4 r f p sat ) p sat 2 .
J th = q L τ c τ eff L ( J th ) τ sp V ,

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