DocumentCode :
2528828
Title :
Mathematical modeling of lasing in semiconductor microcavities by means of adequate eigenvalue problems
Author :
Nosich, Alexander I.
Author_Institution :
IRE NASU, Kharkov, Ukraine
Volume :
2
fYear :
2003
fDate :
29 June-3 July 2003
Firstpage :
31
Abstract :
From the analysis it follows that a thresholdless laser is not more realistic than a perpetual motion machine. In facts thresholdless lasing idea had appeared when it was noticed that infinite photonic crystals display frequency bandgaps, in which no electromagnetic wave can propagate. Therefore, it was suggested that a microcrystal or defect-cavity laser in a photonic crystal host medium might have zero threshold. However, no crystal is infinite, therefore the thresholds can be only made small. In fact, zero threshold is completely equivalent to zero output light. Therefore it appears that analyses of lasing in infinite photonic crystals are either erroneous, if done approximately or with coarse numerical methods like FDTD, or has no sense at all, if done with accurate methods, which correctly account for the radiation conditions. Instead, one must simply formulate the LEP with a finite-size photonic-crystal encasing a laser resonator and study the reduction of the thresholds as a function of elementary cell size, topology, filling, and number.
Keywords :
eigenvalues and eigenfunctions; finite difference time-domain analysis; laser theory; microcavity lasers; photonic crystals; FDTD studies; WG modes; circular cylindrical cavity; cold-cavity modeling; finite-size photonic-crystal; frequency-eigenvalue problem; laser resonator; lasing modeling; microcavity lasers; ring-like gain area; semiconductor microcavities; thresholdless lasing; Displays; Eigenvalues and eigenfunctions; Frequency; Laser modes; Mathematical model; Microcavities; Motion analysis; Photonic band gap; Photonic crystals; Semiconductor lasers;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Transparent Optical Networks, 2003. Proceedings of 2003 5th International Conference on
Print_ISBN :
0-7803-7816-4
Type :
conf
DOI :
10.1109/ICTON.2003.1263139
Filename :
1263139
Link To Document :
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