Abstract
We present a model to simulate the phenomenon of random lasers. It couples Maxwell’s equations with the rate equations of electronic population in a disordered system and includes the interaction of EM waves with electrons and the gain is saturable. Finite difference time domain methods are used to obtain the field pattern and the spectra of localized lasing modes inside the system. A critical pumping rate P c r exists for the appearance of the lasing peak(s) for periodic and random systems. The number of lasing modes increases with the pumping rate and the length of the random system. There is a lasing mode repulsion related to localization effects. This property leads to a saturation of the number of modes for a given size system and a relation between the localization length ξ and average mode length L m . The dynamic processes of the random laser systems are studied. We find some properties for evolving processes of the localized lasing modes.
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Such as the coumarine 102 or uranin with meth as solvent. Our results are of general validity and are not sensitive to the lasing dyes used.
The structure of our 1D random medium is an alternate of layers of random thickness representing the gain medium and dielectric layers of constant thickness representing the scatterers. Theoretically, every discrete grid point of the layers representing the gain medium is a source that can generate spontaneous emission. Because this is very time consuming, we selected a finite number (20 to 50) of sources. To simulate real spontaneous emission, every source needs a proper vibration amplitude and a Lorentzian frequency distribution. We have checked that the spatial distribution of the sources does not influence the calculation results.
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Jiang, X., Soukoulis, C.M. (2001). Theory and Simulations of Random Lasers. In: Soukoulis, C.M. (eds) Photonic Crystals and Light Localization in the 21st Century. NATO Science Series, vol 563. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0738-2_30
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DOI: https://doi.org/10.1007/978-94-010-0738-2_30
Publisher Name: Springer, Dordrecht
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