Monte Carlo Least-Squares Fitting of the Beam Propagation Factor M^{2}

• Authors: M. Alsous , M. Almezel , M. Alnezami
• Languages of publication: EN

Abstracts

EN

A new method for M^2 least-squares fitting using Monte Carlo technique is introduced. The laser beam parameters and the propagation factor M^2 are calculated according to the ISO 11146. The initial values of the fitted parameters are analytically calculated and simple relations are given. These relations use three experimental points of the laser beam at different positions. The Monte Carlo fitting algorithm converged rapidly for all the tested beam. The M^2 value of a diode pumped Nd:YVO_4 laser was optimized. The best M^2 value was 1.08. This optimization was done by changing the pump spot size at the laser crystal. The best overlapping between the pump spot size and the TEM_{00} mode dimension resulted in the best M^2 value.

Keywords

EN

42.60.Jf; 42.55.Xi

Discipline

• 42.60.Jf: Beam characteristics: profile, intensity, and power; spatial pattern formation
• 42.55.Xi: Diode-pumped lasers

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 124
• Issue: 4
• Pages: 673-676

Dates

published

2013-10

received

2013-02-19

(unknown)

2013-07-17

Contributors

author

M. Alsous

• Department of Physics, Atomic Energy Commission, P.O. Box 6091, Damascus, Syria

author

M. Almezel

• Department of Physics, Atomic Energy Commission, P.O. Box 6091, Damascus, Syria

author

M. Alnezami

• Department of Physics, Atomic Energy Commission, P.O. Box 6091, Damascus, Syria

References

• [1] A.E. Siegman, M.W. Sasnett, T.F. Johnston, IEEE J. Quant. Electron. 27, 1098 (1991)
• [2] R. Borghi, M. Santarsiero, Opt. Lett. 22, 262 (1997)
• [3] A.E. Siegman, 'How to (Maybe) Measure Laser Beam Quality', REOL, April 2004, presented at OSA Annual Meeting, 1998
• [4] A.E. Siegman, S.W. Townsend, IEEE J. Quant. Electron. 29, 1212 (1993)
• [5] ISO 11146-1:2005 'Lasers and laser-related equipment - Test methods for laser beam parameters - Beam widths divergence angle and beam propagation factor'
• [6] ISO 11146-2:2005 'Lasers and laser related equipment - Test methods for laser beam widths divergence angles and beam propagation ratios General Astigmatic beams'
• [7] ISO/TR 11146-3:2004 'Lasers and laser related equipment - Test methods for laser beam widths divergence angles and beam propagation ratios. Intrinsic and geometrical laser beam classification propagation and details of test methods'
• [8] G. Nemes, A.E. Siegman, J. Opt. Soc. Am. A 11, 2257 (1994)
• [9] R. Cortés, R. Villagómez, V. Coello, R. López, Revista Mexicana De Física 54, 279 (2008)
• [10] O.A. Schmidt, C. Schulze, D. Flamm, R. Brüning, T. Kaiser, S. Schröter, M. Duparré, Opt. Expr. 19, 6741 (2011)
• [11] C. Schulze, D. Flamm, M. Duparré, A. Forbes, Opt. Lett. 37, 4687 (2012)
• [12] J. Pérez-Vizcaíno, O. Mendoza-Yero, R. Martínez-Cuenca, L. Martínez-León, E. Tajahuerce, J. Lancis, J. Displ. Techn. 8, 539 (2012)
• [13] J.V. Sheldakova, A.V. Kudryashov, V.Y. Zavalova, T.Y. Cherezova, Proc. SPIE 6452, 645207 (2007)
• [14] W.H. Press, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes in C++, Cambridge University Press, New York 2007
• [15] C. Calvert, Borland C++ Builder Unleashed, Borland Press, Indianapolis 1998
• [16] N. Hodgson, H. Weber, Optical Resonators, Springer, New York 1996
• [17] A.E. Siegman, Lasers, Oxford Univ. Press, California 1986
• [18] P. Das, Lasers and Optical Engineering, Springer, New York 1990
• [19] Z. Xiong, G. Li, N. Moore, W.L. Huang, G.C. Lim, IEEE J. Quant. Electron. 39, 979 (2003)
• [20] B. Neuenschwander, R. Weber, H.P. Weber, IEEE J. Quant. Electron. 31, 1082 (1995)
• [21] J. Zheng, S. Zhao, L. Chen, Opt. Laser Technol. 34, 439 (2002)
• [22] P.K. Mukhopadhyay, K. Ranganathan, J. George, S.K. Sharma, T.P.S. Nathan, Opt. Laser Technol. 34, 253 (2002)
• [23] W. Koechner, Solid-State Laser Engineering, Springer, New York 2006

Identifiers

DOI

10.12693/APhysPolA.124.673