M2 factor of a vector Schell-model beam

Hyde, Milo W.; Spencer, Mark F.

doi:10.1117/1.oe.58.7.074101

Opt. Eng.

2019

DOI: 10.1117/1.oe.58.7.074101

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M2 factor of a vector Schell-model beam

Milo W. Hyde

Mark F. Spencer

Abstract: Extending existing scalar Schell-model source work, we derive the M 2 factor for a general electromagnetic or vector Schell-model source to assess beam quality. In particular, we compute the M 2 factors for two vector Schell-model sources found in the literature. We then describe how to synthesize vector Schell-model beams in terms of specified, desired M 2 and present Monte Carlo simulation results to validate our analysis.

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Cited by 2 publications

References 39 publications

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Demonstration of a general scaling law for far-field propagation

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This paper conducts experiments that demonstrate the utility of a general scaling law (GSL) for far-field propagation. In practice, the GSL accurately predicts the diffraction-limited peak irradiance in a far-field plane, regardless of the beam shape in a near-field plane. Within the experimental setup, we use a reflective, phase-only spatial light modulator to generate various beam shapes from expanded and collimated laser-source illumination, including both flattop and Gaussian beams with obscurations, in addition to phased arrays with these beam shapes. We then focus the resulting near-field source plane to a far-field target plane and measure the peak target irradiance to compare to the associated GSL prediction. Overall, the results show excellent agreement with less than 1% error for all test cases. Such experiments present a convenient and relatively inexpensive approach to demonstrating laser-system architectures (of varying complexity) that involve far-field propagation.

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Demonstration of a general scaling law for far-field propagation

et al. 2021

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Pulse-quality metric for nonstationary partially coherent fields

2022

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This paper generalizes a pulse-quality metric referred to as P 2 , i.e., the time analogue of Siegman’s beam quality factor M 2 , to include pulsed (nonstationary) random fields of any state of coherence. The analysis begins with the derivation of a general P 2 relation, which we then specialize to the important cases of coherent and Schell-model pulsed beams. As examples, we derive the P 2 for two stochastic sources: (1) a cosine Gaussian-correlated Schell-model pulsed beam and (2) a nonuniformly correlated pulsed beam. For both of these sources, we generate (in simulation) random instances of each and compare the simulated (Monte Carlo) P 2 , i.e., computed directly from its definition, to the theoretical quantity. The agreement is excellent, thereby validating our P 2 analysis.

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M2 factor of a vector Schell-model beam

Cited by 2 publications

References 39 publications

Demonstration of a general scaling law for far-field propagation

Demonstration of a general scaling law for far-field propagation

Pulse-quality metric for nonstationary partially coherent fields

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