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Volumn 67, Issue 1 2, 2003, Pages 166031-1660310

Decay rate distributions of disordered slabs and application to random lasers

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; PERMITTIVITY; QUANTUM THEORY;

EID: 0038732352     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (35)
  • 15
    • 33645079338 scopus 로고    scopus 로고
    • note
    • Optical experiments always preserve time-reversal symmetry unless a magneto-optical effect is included. For electric systems, time-reversal symmetry can be broken by applying a large magnetic field to the sample. (Such fields are created routinely in experiments.)
  • 20
    • 33645074378 scopus 로고    scopus 로고
    • note
    • It is not possible to have more than ideal coupling. For κ < 1, the loss rates are smaller than for κ= 1, so this is easily identified as "subideal," For κ> 1, the loss rates split into two separate parts: Most become smaller, as for κ< 1, while a few loss rates become very large, thereby fulfilling the requirement that the average loss rate has to be proportional to κ. We should note that this somewhat counterintuitive behavior is also observed for chaotic cavities [13].
  • 29
    • 33645068405 scopus 로고    scopus 로고
    • note
    • On a modern computer, a single diagonalization for a L = 700, N =70 system takes about two days and uses 256 Mbytes of memory. While this memory requirement usually is no problem, the computing time usually is. Remember that the task is to compute the distribution of the decay rates. Hence, many matrices with different realizations of the random potential P(x,y) have to be diagonalized - not just a single matrix. However, the restrictions imposed by time and memory are of the same order of magnitude.
  • 30
    • 33645046595 scopus 로고    scopus 로고
    • note
    • The algorithms will return eigenvalues z′ that have a very small but finite deviation |z -z′| from their correct value z. Since we are primarily interested in the imaginary part of the eigenvalue and want it to be as precise as possible, the magnitude of the real part has to be as small as possible.
  • 33
    • 0001186573 scopus 로고
    • [Sov. Phys. JETP 58, 606 (1983)]
    • O.N. Dorokhov, Zh. Éksp. Teor. Fiz. 85, 1040 (1983) [Sov. Phys. JETP 58, 606 (1983)].
    • (1983) Zh. Éksp. Teor. Fiz. , vol.85 , pp. 1040
    • Dorokhov, O.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.