2023   03   en   p.43-45 Sh.Sh. Amirov1,2, N.V. Kerimli1, N.H. Gurbanova1, H.A. Abiyev1,
On the theory of third harmonic generation in a Fabry-Perot cavity
 pdf 

ABSTRACT

An analytical expression for the efficiency of conversion into third harmonic in a Fabry- Perot cavity filled with the third order nonlinear medium is obtained in the constant intensity approximation. This approximation takes into account the reverse reaction of excited harmonic wave on the phase of fundamental radiation. It was shown that in order to achieve highest conversion efficiency the optimum values of problem parameters like coefficient of reflection, nonlinear length of medium etc. should be chosen.

Keywords: third harmonic, Fabry-Perot cavity, nonlinear medium, constant intensity approximation.
PACS: 78.67. Pt; 42.65-k; 42.62.Hk; 42-70a.

DOI:-

Received: 19.09.2023

AUTHORS & AFFILIATIONS

1. Department of Medical and Biological Physics, Azerbaijan Medical University 167 S.Vurgun str., Az-1022, Baku, Azerbaijan
2. Department of Physics and Electronics, Khazar University, 41 Mahsati str., Az 1096, Baku, Azerbaijan
E-mail: phys_med@mail.ru
REFERENCIES

[1]   C. Tun, L. Kuan, T. Yutao et al. Giant enhancement of third harmonic generation from based Fabry-Perot cavity. Archiv, 2019, physics,1901.08795.
[2]   N. Hashizume, M. Ohashi, R. Ito Opical harmonic generation in multilayered structures: a comprenhensive analysis. J. Opt. Soc. Am., 1995, B12, pp.1894-1904.
[3]   J. Jose, S.D. Gupta . Third harmonic generation in layered media in presence of optical bistability of the fundamental. Pramana, journal of Physics, 1998, v. 50, № 3, pp.239-251]
[4]   S.Y. Chen, C.Y. Chen, and C.K. Sun. Epi-third and second harmonic generation microscopic imaging of abnormal enamel. Opt.Express, 2008, v.16, pp. 11670-11679.
[5]   P. Campagnola, A. Millard, M. Terasaki M. Three dimensional high resolution second-harmonic generation imaging of endogeneous structural proteins in biological tissues. Biophysics 2002, J.82483-50. https.//doi.org/10.1016/50006-3495(02)75414-3 2002.
[6]   Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg. Nonlinear scanning laser microscopy by third harmonic generation. Appl.Phys. Lett., 1997, 70, pp.922-931.
[7]   M. Muller, J. Squier, K. Wilson, and G. Brakenhoff G. 3D microscopy ofd transparent objects using third-harmonic generation. J. Microscopy,1998, v.191, pp.266-274.
[8]   L. Fri , P. Mandel, E. Viktorov . Intracavity second harmonic generation in a Fabry-Perot resonator: Polarization effects.Quantum and Semiclassical optics: Joiurnal of the European optical Society,1998, part B, v.10, № 1, pp.1355-1363.
[9]   B. Weigelin, G.J. Bakker and P. Friedl. Third harmonic generation microscopy of cells and tissue organization. Journal of Cell Science, 2016, v. 1 № 11, pp.32-43.
[10]  Z.H. Tagiev, A.S. Chirkin. Fixed intensity approximation in the theory of nonlinear waves Zh.Eksp. Teor. Fiz.1977, 73, pp.1271-1282.
[11]  Sh.Sh. Amirov, Z.H. Tagiyev. Conversion of frequencies of ultrashort pulses in external cavity. Optics and Spectroscopy, v.69, № 3. pp.678-686.
[12]  R.J. Kasumova, Sh.Sh. Amirov. Nonstationary sum frequency generation in inhomogeneous optical fiber. AJP “Fizika”(EN), 2022, Vol.XXVIII, № 2, p.24-30.
[13]  R.J. Kasumova, Sh.Sh. Amirov, Sh.A. Shamilova. Parametric ineraction of optical waves in metamaterials under low-frequency pumping. Quantum Electronics.2017. v.47, № 7,pp.655-660.
[14]  R.J. Kasumova, Z.H. Tagiev, Sh.Sh. Amirov, Sh.A. Shamilova, G.A. Safarova. Phase effects at parametrical interaction in metamaterials. Journal of Russian Laser Research. 2017. V.38 .p.211-218.