1. Home
  2. Vol 2, No 2 (2018)
  3. Shotorbani

Modeling and Implementing Nonlinear Equations in Solid-State Lasers for Studying their Performance

Ali Roudehghat Shotorbani, Hassan Rasooli Saghai

Abstract


In this paper, the effect of radius variation of beam light on output efficacy of SFD Yttrium aluminium borate laser doped with Neodymium ion, which is simultaneously a non-linear and active laser crystal, is investigated in a double-pass cavity. This is done with a concave lens that concentrates (Reduction of optical radius within nonlinear material) as much optical laser as possible, resulting in increasing the laser efficiency, second harmonic and the population inversion difference. In this study, we first developed five discrete differential equations describing the interactions of 807 nm pump beam, 1060nm laser beam and 530nm second harmonic beam. Output efficiencies of laser and second harmonic beams at pumping power of Pp =20W and beam radius of 5μm have been presented. Meanwhile, in this paper, the first experiment for creating second harmonic in solid state lasers was fully described with a figure and its procedure was investigated and then the equations (second harmonic and laser and population inversion) were studied. Radius variation of beam light aims at increasing laser output efficacy and improving second harmonic and population inversion. The analytic methods which have been solved the discrete differential equations via Matlab.

Keywords


Yttrium Aluminum Borate Laser; Non-Linear and Active Laser Crystal; Pump; Neodymium Ion; Beam Radius.

References


H. Yousefi. Introduction on Solid -State Lasers and their Applications; Imam Hossein University; Vol. 1, (2002).

D. Jaque, Self-frequency-sum mixing in Nd doped nonlinear crystals for laser generation in the three fundamental colours: The NYAB case, Journal of Alloys and Compounds 323-324 (2001) 204-209. https://doi.org/10.1016/s0925-8388(01)01111-2.

D. Jaque, M. de la O Ramirez, L. Bausa, A. Speghlini, M. Bettinelli, and E. Cavalli, Journal of the Optical Society of America B 21 (2004) 1203-1209. https://doi.org/10.1364/josab.21.001203.

M. Sabaeian, H. Nadgaran, M. De Sario, L. Mescia and F. Prudenzano, Investigation of thermal effects in octagonal double-clad fiber lasers, Optical Materials 31 (2009) 1300-1305 https://doi.org/10.1016/j.optmat.2008.10.034.

A. Sayahian Jahromi, M. Sabaeian, and H. Nadgaran, Heat coupled laser rate equations: a model for Er-doped fiber lasers, Optics Communications 311 (2013) 134-139. https://doi.org/10.1016/j.optcom.2013.08.058.

Boyd, Robert W. Nonlinear optics. Academic press, 2003. https://doi.org/10.1016/b978-0-12-121682-5.x5000-7.

Wilson, John, and J. F. B. Hawkes. Lasers, principles and applications. Prentice Hall, 1987.

Svelto, Orazio. “Principles of Lasers” (2010). doi:10.1007/978-1-4419-1302-9.

Huang, Yidong, and Zundu Luo. “Relaxation Oscillation Theory for the Nd3+: YAB Self-Frequency-Doubling Laser.” Optics Communications 112, no. 1–2 (November 1994): 101–108. doi:10.1016/0030-4018(94)90086-8.

P. Dekker, Y. Huo, J.M. Dawes, J.A. Piper, P. Wang, B.Sh. Lu, Continuous wave and Q-switched diode-pumped neodymium, lutetium: yttrium aluminum borate lasers, Optics Communications 151 (1998) 406-412. https://doi.org/10.1016/s00304018(98)00049-2.

D. Jaque, J. Capmany, J. Rams, and J. Garcia Sole, Effects of pump heating on laser and spectroscopy properties of the Nd:[YAl3(BO3)4] self-frequency-doubling laser, Journal of Applied Physics 87 (2000) 1042-1048. https://doi.org/10.1063/1.371977.

H. Hemmati, Diode-pumped self-frequency-doubled neodymium yttrium aluminum borate (NYAB) laser, IEEE Journal of Quantum Electronics 28 (1992) 1169-1171. https://doi.org/10.1109/3.135243.

T. Omutsu, Y. Kato, M. Shimosegawa, A. Hasegawa, I. Ogura, “Thermal effects in laser diode pumped self-frequancy-doubled NdxY1xAl3(Bo3)4 (NYAB) microchip laser” Optics Communications 118 (1995) 302-308. https://doi.org/10.1016/0030-4018(95)00208-p.

L. Mousavi, M. Sabahian, H. Askari. Self-doubler Yttrium aluminum borate laser doped with Neodymium; Journal of Research on Many Body Systems; 4; 7; (2014): 45-54. https://doi.org/10.22055/JRMBS.2017.11591.1029.

D. Jaque, et al. Continuous-wave laser properties of the self-frequency-doubling YAl3 (BO3)4: Nd crystal, Journal of the Optical Society of America B 15 (1998) 1656-1661. https://doi.org/10.1364/josab.15.001656.

J. Bartschke, R. Knappe, K.J. Boller, and R. Wallenstrin, Investigation of efficient self-frequency-doubling Nd: YAB lasers, IEEE Journal of Quantum Electronics 33 (1997) 2295-2230. https://doi.org/10.1109/3.644113.


Full Text: PDF

DOI: 10.28991/esj-2018-01130

Refbacks

  • There are currently no refbacks.