Geodesic
Numerical modeling of the process of orientation of two-level molecules in an external field using the method of exponential fitting
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 3, pp. 45-57.

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Numerical modeling is carried out of the process of orientation of molecules in an external field with account taken of transitions between the energy levels. An algorithm is proposed for the numerical solution of a system of nonstationary kinetic equations on the basis of exponential fitting. The possibility of an inversionless light amplification by dichroic molecules that can be oriented selectively by states by means of applying an external field.
Keywords: inversionless light amplification, molecule balance, exponential fitting. 
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I. A. Kuzovatov; A. V. Shamshurin. Numerical modeling of the process of orientation of two-level molecules in an external field using the method of exponential fitting. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 3, pp. 45-57. http://geodesic.mathdoc.fr/item/SJIM_2012_15_3_a4/

[1] Mompart J., Corbalan R., “Lasing without inversion”, J. Optics. B: Quantum and Semiclassical Optics, 2:3 (2000), 7–24

[2] Laschinskii V. V., Popov A. K., Slabko V. V., “Usilenie opticheskogo izlucheniya orientirovannykh vneshnim polem dikhroichnymi molekulami v otsutstvie inversii zaselennostei”, Issledovano v Rossii, 5 (2002), 1773–1782 http://zhurnal.ape.relarn.ru/articles/2002/158.pdf

[3] Bakhshiev N. G., Spektroskopiya mezhmolekulyarnykh vzaimodeistvii, Nauka, L., 1973

[4] Kelikh C., Molekulyarnaya nelineinaya optika, Nauka, M., 1981

[5] Popov A. K., Slabko V. V., “Switching from opaque via transparent to a strongly amplifying state is shown to be possible for molecular media without a change in the noninverted population of their energy levels”, Optics Letters, 30:13 (2005), 1719–1721 | DOI

[6] Popov A. K., Slabko V. V., “Optical switching and inversionless amplification controlled by state-dependent alignment of molecules”, J. Physics. B: Atomic, Molecular and Optical Physics, 38:11 (2005), 1787–1796 | DOI

[7] Allen D. N., Southwell R. V., “Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder”, Quart. J. Mech. Appl. Math., 8:2 (1955), 129–145 | DOI | MR | Zbl

[8] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Mat. zametki, 6:2 (1969), 237–248 | MR | Zbl

[9] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR

[10] Kuzovatov I. A., Laschinskii V. V., Slabko V. V., Shamshurin A. V., “Vliyanie vremeni ustanovleniya orientatsionnogo ravnovesiya na effekt bezynversnogo usileniya selektivno po sostoyaniyam orientirovannymi molekulami”, Zhurn. SFU. Matematika i fizika, 4:2 (2011), 240–248 | MR

[11] Slabko V. V., Kuzovatov I. A., Shamshurin A. V., “O vozmozhnosti bezynversnogo usileniya sveta dikhroichnymi molekulami vo vneshnem orientiruyuschem pole”, Zhurn. tekhn. fiziki, 82:2 (2012), 57–62

[12] Mesyats G. A., Impulsnaya energetika i elektronika, Nauka, M., 2004

[13] Raikhardt K., Rastvoriteli i effekty sredy v organicheskoi khimii, Mir, M., 1991