Abstract
Using the optical response formula for photonic crystals and the Bloch equations, we analyze coherent emission in arbitrary two-dimensional photonic crystals. The transient emission depends not only on the photon density of the states, but also on the intensity and duration of the pump laser pulses. A transient gain exists if the pump pulse area is a certain value and the transition frequency is tuned to the band edge. The sharp structure of the density of states near the band edge leads to a dramatic enhancement of the transient emission intensity and an abrupt change in the oscillation of the emission field.
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References
D. Kleppner: Phys. Rev. Lett. 27, 233 (1981)
S. John, J. Wang: Phys. Rev. Lett. 64, 2418 (1990)
Z. Li, L. Lin, Z. Zhang: Phys. Rev. Lett. 84, 4341 (2000)
S.-Y. Zhu, Y.-P. Yang, H. Chen, H. Zheng, M.S. Zubairy: Phys. Rev. Lett. 84, 2136 (2000); Z.-Y. Li, Y.-N. Xia: Phys. Rev. B 63, 12130 (2001)
Y.-P. Yang, S.-Y. Zhu: Phys. Rev. A 61, 043809 (2000)
D.G. Angelakis, E. Paspalakis, P.L. Knight: Phys. Rev. A 61, 055802 (2000)
N. Vats, S. John: Phys. Rev. A 65, 043808 (2002)
K. Sakoda, K. Ohtaka: Phys. Rev. B 54, 5730 (1996)
S. Zamith, J. Degert, S. Stock, B. de Beauvoit, V. Blanchet, M. Aziz Bouchene, B. Girad: Phys. Rev. Lett. 87, 033001 (2201)
P. Borri, W. Langbein, S. Schneider, U. Woggon, R.L. Selin, D. Ouyang, D. Bimberg: Phys. Rev. B 66, 081306 (2002)
H. Gieben, J.D. Berger, G. Mohs, P. Meystre, S.F. Yelin: Phys. Rev. A 53, 2816 (1996)
J.P. Dowling, M. Scalora, M.J. Bloemer, C.M. Bowden: J. Appl. Phys. 75, 1896 (1994)
T. Quang, M. Woldeyohannes, S. John: Phys. Rev. Lett. 79, 5238 (1997)
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42.70.Qs; 32.80.-t; 42.25.Bs
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Xu, XS., Cheng, BY. & Zhang, DZ. Transient gain in photonic crystals. Appl Phys B 77, 515–519 (2003). https://doi.org/10.1007/s00340-003-1296-2
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DOI: https://doi.org/10.1007/s00340-003-1296-2