NOCHIZIQLI OPTIK JARAYONLARNI OʻRGANISHDA QOʻLLANILADIGAN MATEMATIK MODELLAR QIYOSIY TAHLILI

Authors

  • U.Q. Sapayev

    Toshkent davlat texnika universiteti

  • Z.J. Ro‘ziyev

    Toshkent davlat texnika universiteti

  • N.M. Soliyeva

    Toshkent davlat texnika universiteti

Keywords: Maxwell's equations, nonlinear optics, slow amplitude change, third harmonic generation, argon, femtosecond pulses

Abstract

The generation of the third harmonic of ultrashort laser pulses was analyzed numerically on the basis of a slow amplitude change and unidirectional approximations. For the method of slowly varying amplitudes, the dispersion of the medium was taken into account up to the third order. For the same conditions, the efficiency of the third harmonic pulse and its temporal amplitude were analyzed by the above numerical methods. A comparative analysis shows that significant errors appear at sufficiently large propagation distances between them. Argon gas was invented as a non-linear optical medium.

References

1. Strickland, D., & Mourou, G. (1985). Compression of amplified chirped optical pulses. Optics communications, 56(3), 219-221. https://www.nobelprize.org/prizes /physics/2018/summary/

2. Armstrong, J.A., Bloembergen, N., Ducuing, J., & Pershan, P.S. (1962). Interactions between light waves in a nonlinear dielectric. Physical review, 127(6), 1918.

3. Husakou, A. V., & Herrmann, J. (2001). Supercontinuum generation of higher-order solitons by fission in photonic crystal fibers. Physical Review Letters, 87(20), 203901.

4. Couairon, A., Brambilla, E., Corti, T., Majus, D., Ramírez-Góngora, O. D. J., & Kolesik, M. (2011). Practitioner’s guide to laser pulse propagation models and simulation. The European Physical Journal Special Topics, 199(1), 5-76.

5. Mlejnek, M., Wright, E. M., & Moloney, J. V. (1998). Femtosecond pulse propagation in argon: A pressure dependence study. Physical Review E, 58(4), 4903.

6. Sapaev, U., Husakou, A., & Herrmann, J. (2013). Combined action of the bound-electron nonlinearity and the tunnel-ionization current in low-order harmonic generation in noble gases. Optics express, 21(21), 25582-25591.

7. Дмитриев, В. Г., & Тарасов, Л. В. (2004). Прикладная нелинейная оптика. Физматлит.

8. Ахманов, С. А., & Хохлов, Р. В. Проблемы нелинейной оптики (М.: ВИНИТИ, 1964); Бломберген Н. Нелинейная оптика.