**APA**

**In-text citation:** (Bulat et al., 2016)

**Reference:** Bulat, P. V., Volkov, K. N., & Ilyina, E. Y. (2016). Model of Interaction of Laser Radiation with a Drop of Liquid. *International Electronic Journal of Mathematics Education, 11*(8), 3009-3020.

**AMA**

**In-text citation:** (1), (2), (3), etc.

**Reference:** Bulat PV, Volkov KN, Ilyina EY. Model of Interaction of Laser Radiation with a Drop of Liquid. *INT ELECT J MATH ED*. 2016;11(8), 3009-3020.

**Chicago**

**In-text citation:** (Bulat et al., 2016)

**Reference:** Bulat, Pavel V., Konstantin N. Volkov, and Ekaterina Ye. Ilyina. "Model of Interaction of Laser Radiation with a Drop of Liquid". *International Electronic Journal of Mathematics Education* 2016 11 no. 8 (2016): 3009-3020.

**Harvard**

**In-text citation:** (Bulat et al., 2016)

**Reference:** Bulat, P. V., Volkov, K. N., and Ilyina, E. Y. (2016). Model of Interaction of Laser Radiation with a Drop of Liquid. *International Electronic Journal of Mathematics Education*, 11(8), pp. 3009-3020.

**MLA**

**In-text citation:** (Bulat et al., 2016)

**Reference:** Bulat, Pavel V. et al. "Model of Interaction of Laser Radiation with a Drop of Liquid". *International Electronic Journal of Mathematics Education*, vol. 11, no. 8, 2016, pp. 3009-3020.

**Vancouver**

**In-text citation:** (1), (2), (3), etc.

**Reference:** Bulat PV, Volkov KN, Ilyina EY. Model of Interaction of Laser Radiation with a Drop of Liquid. INT ELECT J MATH ED. 2016;11(8):3009-20.

# Abstract

A mathematical model of optical breakdown at the droplets of dielectric liquid exposed to pulsed laser radiation is developed. The following results are obtained by calculation methods: the distribution of pressure, density and temperature in the vapour aureole of the particle; the temperature field around the droplet of liquid. It has been found that at high energies in the gas bubble, the conditions for thermal ionization of the gas and for the start of electron avalanche, leading to the formation of plasma are created. Due to the volumetric heat generation the droplet overheats and is in a meta-stable state, the plasma formation is almost opaque to radiation, which leads to a sharp rise in temperature. As a result, an explosion occurs inside the droplet, forming a shock wave that propagates outward. The results can be used to assess the performance of high-power scanning lasers (LIDAR) when there are liquid droplets and other suspensions present in the atmosphere. Lasers can be used in fire and explosion safety systems of aerospace machinery. Another area of application is systems of laser ignition and detonation initiation.