The limitations of using M-squared for input beam characterization in simulation software

David M. Hasenauer; Bryan D. Stone

doi:10.1117/12.2191362

23 September 2015 The limitations of using M-squared for input beam characterization in simulation software

David M. Hasenauer, Bryan D. Stone

Proceedings Volume 9626, Optical Systems Design 2015: Optical Design and Engineering VI; 96260K (2015) https://doi.org/10.1117/12.2191362
Event: SPIE Optical Systems Design, 2015, Jena, Germany

Abstract

The M-squared (M²) parameter for defining laser beam quality is a convenient metric to characterize the variation of the beam size and far field divergence of a “real” propagated optical beam, compared with that of an ideal Gaussian beam of the same wavelength. However, it can be problematic to use this parameter solely to characterize an input beam for propagation simulation software. Similar to RMS wavefront error or Strehl ratio, which can be used to define image quality, but do not characterize the shape of the wavefront, different factors can result in beams with identical M2 values, but very different propagation behavior. Beams that differ due to aberrations, non-Gaussian amplitude envelopes, and/or partial spatial coherence may have similar or identical M² values, but very different far-field and/or near-field intensity and/or phase distributions. The situation is complicated further if the beam encounters non-ideal optics. In this paper, we investigate a number of beams that all have (approximately) the same M². While M² is invariant for propagation through an ideal optical system, we show that when an optical system introduces aberrations, it can alter different beams with the same, non-unity M² in ways that differ significantly from one beam to another.

Citation Download Citation

David M. Hasenauer and Bryan D. Stone "The limitations of using M-squared for input beam characterization in simulation software", Proc. SPIE 9626, Optical Systems Design 2015: Optical Design and Engineering VI, 96260K (23 September 2015); https://doi.org/10.1117/12.2191362

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