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Phys. Rev. B 69, 104202 (2004) [7 pages]

Coupling, competition, and stability of modes in random lasers

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Xunya Jiang1,2,4, Songlin Feng1, C. M. Soukoulis2, Jian Zi3, J. D. Joannopoulos4, and H. Cao5
1State Key Laboratory of Microsystem and Technology, Shanghai Institute of Microsystem and Technology, Chinese Academy of Science, Shanghai 200050, China
2Ames Laboratory-USDOE, Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
3Surface Physics Laboratory (National Key Lab), Fudan University, Shanghai 200433, People’s Republic of China
4Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
5Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208-3112, USA

Received 29 August 2003; revised 25 November 2003; published 17 March 2004

We studied analytically and numerically the complex properties of random lasing modes. Mode repulsion in frequency domain for inhomogeneously broadened gain media was confirmed by our numerical results. We constructed a coupled-mode model to explain the synchronized lasing behavior for modes whose frequency difference is less than the homogeneous gain width. The stability of coupled modes was investigated. The effective competition coefficient Ce for two modes with both gain competition and field coupling is obtained analytically. In our numerical experiments, we also found the coupled oscillations of two lasing modes. From the analytical derivation, we demonstrated that such oscillations could reveal the field-coupling strength between the random modes.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.104202
DOI:
10.1103/PhysRevB.69.104202
PACS:
71.55.Jv, 42.55.Zz, 42.25.Bs, 42.55.Ah
 
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