journal article·2022-06-01Open access

A kinetic model for the equilibrium dynamics of absorption and scattering processes in four-wave mixing spectroscopy

Jose Luis Paz, Marcos Loroño, F. Javier Torres, Lenin A. González-Paz, Edgar Marquez, José R. Mora, Ysaias J. Alvarado, Vladimiro Mujica

AIP Advances· Volume 12· Issue 6

Abstract

We construct a kinetic model, analogous to a simple chemical reaction, to describe the spatial propagation of the electromagnetic fields in four-wave mixing spectroscopy in a two-level molecular model, explicitly taking into account the stochastic effects of the solvent. We show that in this case, the nonlinear optics processes (absorption and scattering) along the optical path can be described using an analogy with the kinetic processes that occur in a chemical reaction. A key result is that it is possible to define an apparent equilibrium constant that regulates the competition of the photonic processes that take place, an idea conceptually similar to Einstein’s model for spontaneous emission and how it can be connected to induced emission in atoms and molecules but including an extension to nonlinear optical and relaxation processes. Our model can be generalized to describe a variety of phenomena in nano-photonics and plasmonic systems.
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Research context

OpenAlex topics: Spectroscopy and Quantum Chemical Studies · Quantum Information and Cryptography · Quantum optics and atomic interactions

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Affiliations

Departamento Académico de Química Inorgánica, Facultad de Química e Ingeniería Química, Universidad Nacional Mayor de San Marcos 1 , Lima, Perú

Departamento Académico de Química Analítica e Instrumental, Facultad de Química e Ingeniería Química, Universidad Nacional Mayor de San Marcos 2 , Lima, Perú

Grupo de Química Computacional y Teórica (QCT-UR), Facultad de Ciencias Naturales, Universidad del Rosario 3 , Bogotá, Colombia

Instituto de Simulación Computacional (ISC-USFQ) and Grupo de Química Computacional y Teórica (QCT-USFQ), Departamento de Ingeniería Química, Universidad San Francisco de Quito (USFQ) 4 , Quito, Ecuador

Laboratorio de Genética y Biología Molecular (L.G.B.M), Departamento de Biología Facultad Experimental de Ciencias (F.E.C), Universidad del Zulia (LUZ) 5 , Maracaibo, República Bolivariana de Venezuela

Grupo de Investigaciones en Química y Biología, Departamento de Química y Biología, Facultad de Ciencias Exactas, Universidad del Norte 6 , Carrera 51B, Km 5, Vía Puerto, Barranquilla 081007, Colombia

Laboratorio de Caracterización Molecular y Biomolecular, Centro de Investigación y Tecnología de Materiales (CITeMA), Instituto Venezolano de Investigaciones Científicas (IVIC) 7 , Maracaibo, República Bolivariana de Venezuela

School of Molecular Sciences, Arizona State University 8 , Tempe, Arizona 85287, USA

Kimika Fakultatea, Euskal Herriko Unibertsitatea 9 , 20080 Donostia, Euskadi, Spain

Funding

Universidad Nacional Mayor de San Marcos

References (21)

Show source-provided references
1. J. Mod. Opt. · 2009 · 56 · 162610.1080/09500340903230015 ↗
2. Opt. Commun. · 2007 · 276 · 16110.1016/j.optcom.2007.03.079 ↗
3. J. Opt. Soc. Am. B · 2015 · 32 · 217810.1364/josab.32.002178 ↗
4. Phys. Rev. A · 1992 · 46 · 274910.1103/physreva.46.2749 ↗
5. Opt. Commun. · 2005 · 246 · 45110.1016/j.optcom.2004.11.023 ↗
6. J. Mod. Opt. · 1995 · 42 · 119910.1080/09500349514551051 ↗
7. J. Opt. Soc. Am. B · 1986 · 3 · 64910.1364/josab.3.000649 ↗
8. J. Mod. Opt. · 1989 · 36 · 81110.1080/09500348914550921 ↗
9. Opt. Commun. · 2013 · 308 · 4310.1016/j.optcom.2013.06.026 ↗
10. Adv. Opt. Photonics · 2011 · 3 · 110.1364/aop.3.000001 ↗
11. Phys. Rev. A · 1984 · 29 · 197310.1103/physreva.29.1973 ↗
12. Results Phys. · 2018 · 11 · 41410.1016/j.rinp.2018.09.041 ↗
13. J. Opt. Soc. Am. B · 1984 · 1 · 16410.1364/josab.1.000164 ↗
14. Phys. Rev. A · 1981 · 24 · 41110.1103/physreva.24.411 ↗
15. 2010
16. J. Mol. Spectrosc. · 2000 · 201 · 17910.1006/jmsp.2000.8067 ↗
17. J. Mod. Opt. · 2015 · 62 · 40310.1080/09500340.2014.986235 ↗
18. 2007
19. Chem. Phys. Lett. · 2020 · 760 · 13800010.1016/j.cplett.2020.138000 ↗
20. 2020
21. Phys. Rev. A · 1993 · 47 · 418510.1103/physreva.47.4185 ↗