In situ measurement of laser beam quality

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An innovative optical method is introduced for the beam quality measurement of any arbitrary transverse mode based on the reconstruction of the mode from a few-frame image of the beam cross-section. This is performed by the decomposition of a mode to its basic Hermite–Gaussian modal coefficients. The performance of the proposed method is examined through M 2-factor measurement of the beam of a Nd:YAG laser which was forced to oscillate in a certain mode using a crossed rectangular intracavity aperture. Obtained results have shown that this method can be alternatively replaced for the hologram- and ISO-based techniques recently exploiting for beam quality measurement regardless of the mode type and the position of utilized CCD camera along the beam direction.

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  1. 1.

    J.D. Horsnell, C. Kendall, N. Stone, Towards the intra-operative use of Raman spectroscopy in breast cancer—overcoming the effects of theatre lighting. Lasers Med. Sci. 31, 1143–1149 (2016)

  2. 2.

    R. W. Boyd, Preface to the second edition A2. in: Nonlinear optics (third edition). Academic, Burlington, pp. xv–xvi (2008)

  3. 3.

    W. Demtröder, Laser spectroscopy: basic concepts and instrumentation (Springer, Berlin Heidelberg, 2013)

  4. 4.

    I. O. f. Standardization, ISO 11146-1/2/3 Test methods for laser beam widths, divergence angles and beam propagation ratios—Part 1: Stigmatic and simple astigmatic beams/Part 2: General astigmatic beams/Part 3: Intrinsic and geometrical laser beam classification, propagation and details of test methods. ISO, Geneva (2005)

  5. 5.

    S. Kaim, J. Lumeau, V. Smirnov, B. Zeldovich, L. Glebov, Metric for the measurement of the quality of complex beams: a theoretical study. J. Opt. Soc. Am. A 32, 538–548 (2015)

  6. 6.

    S. Kaim, S. Mokhov, D. Drachenberg, L. Glebov, B. Zeldovich, Characterization of Beam Quality by the Power-in-the-Bucket, in Frontiers in Optics 2011/Laser Science XXVII, FWD7 (2011). doi:10.1364/FIO.2011.FWD7

  7. 7.

    S. Ruschin, E. Yaakobi, E. Shekel, Gaussian content as a laser beam quality parameter. Appl. Opt. 50, 4376–4381 (2011)

  8. 8.

    O.A. Schmidt, C. Schulze, D. Flamm, R. Brüning, T. Kaiser, S. Schröter, M. Duparré, Real-time determination of laser beam quality by modal decomposition. Opt. Express 19, 6741–6748 (2011)

  9. 9.

    M. Duparré, B. Lüdge, S. Schröter, On-line characterization of Nd:YAG laser beams by means of modal decomposition using diffractive optical correlation filters. Proceedings of the SPIE 5962, Optical Design and Engineering II, 59622G (2005). doi:10.1117/12.625222

  10. 10.

    C. Schulze, D. Flamm, M. Duparré, A. Forbes, Beam-quality measurements using a spatial light modulator. Opt. Lett. 37, 4687–4689 (2012)

  11. 11.

    A. Forbes, A. Dudley, M. McLaren, Creation and detection of optical modes with spatial light modulators. Adv. Opt. Photon. 8, 200–227 (2016)

  12. 12.

    V. Lakshminarayanan, M. L. Calvo, T. Alieva, Mathematical Optics: Classical, Quantum, and Computational Methods (Taylor & Francis, United States of America, 2012)

  13. 13.

    A.H.G.R. Kan, G.T. Timmer, Stochastic global optimization methods part II: Multi level methods. Math. Progr. 39, 57–78 (1987)

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Correspondence to Saeed Ghavami Sabouri.

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Hashemi, S.S., Ghavami Sabouri, S. & Khorsandi, A. In situ measurement of laser beam quality. Appl. Phys. B 123, 233 (2017).

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