Spatial coherence: comparison of interferometric and non-interferometric measurements

Eppich, B.; Mann, Guido; Weber, Horst

doi:10.1117/12.499283

Cited by 5 publications

(3 citation statements)

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“…The GSM beam is an "eigen"-function in transformation in the first order systems. The propagation law of GSM beam in free space is given by: (9) where W 0, GS and ρ 0, GS are the beam and coherence radii in waist plane, respectively, Z R, GS is the Rayleigh range given by: (10) where θ GS is the divergence half angle of GSM beam The WD function for GSM beam is given as: (11) For fully coherent GSM beam, i.e., we have the formulae describing the properties of a Gaussian beam in terms of WDM. The GSM beam minimizes the product of beam quality M 2 and coherence degree parameter K 2 : (12)…”

Section: Properties Of Gauss-schell Model Beammentioning

confidence: 99%

“…It was shown by EPPICH and RENG [7] that the Wigner distribution can be found as the inverse Radon transform of intensity distribution in the caustics. Knowing Wigner distribution of a laser beam, the beam quality parameter M 2 , the spatial coherence degree K 2 and the coherence length can be calculated [9,10]. The WDM can also be applied to derive deterministic wavefront aberrations of a laser beam [8,11,12].…”

Section: Introductionmentioning

confidence: 99%

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<title>Application of Wigner transform for characterization of aberrated laser beams</title>

2005

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The slit scan method was implemented for registration of intensity profiles along the caustics of a laser beam. The inverse Radon transform of spatially normalized intensity profiles enables direct computation of Wigner transform of real laser beam. The Rayleigh range, divergence angle, beam quality factor, global degree of coherence can be determined in such a simple way. A procedure enabling derivation of the shape of aberrated wavefornt and spherical aberration content was elaborated. This method was applied for investigation of the aberrated laser beams generated by cw and pulsed diode pumped lasers.

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Section: Properties Of Gauss-schell Model Beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

<title>Application of Wigner transform for characterization of aberrated laser beams</title>

2005

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“…This excellent idea was accepted and became widespread (see, e.g. [15][16][17][18]) in laser optics in the last two decades. A very interesting result was the possibility to analyze the impact of geometric aberrations [16,18] on Wigner distribution.…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Jabczyński¹,

Gontar²,

Gorajek³

2020

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1) Background: the modeling, characterization, transformation and propagation of high-power CW laser beams in optical (including fiberoptic) trains and in the atmosphere have become hot topics in laser science and engineering in the past few years. Single-mode output is mandatory for high-power CW laser applications in the military field. Moreover, an unstationary, dynamic operation regime is typical. Recognized devices and procedures for laser-beam diagnostics could not be directly applied because of dynamic behavior and untypical non-Gaussian profiles. 2) Methods: the Wigner transform approach was proposed to characterize dynamically variable high-power CW laser beams with significant deterministic aberrations. Wavefront-sensing measurements by means of the Shack-Hartmann method and decomposition into an orthogonal Zernike basis were applied. 3) Results: deterministic aberration as a result of unstationary thermal-optic effects depending on the averaged power of the laser output was found. Beam quality determined via the Wigner approach was changed in the same way as the measurements of the beam diameter in the far field. 4) Conclusions: such an aberration component seems to be the main factor causing degradation in beam quality and in brightness of high-power CW laser beams.

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Efficient numerical representation of the optical field for the propagation of partially coherent radiation with a specified spatial and temporal coherence function

Rydberg

Bengtsson

2006

J. Opt. Soc. Am. A

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We propose a method to narrow the gap between the rigorous methods for the propagation of partially coherent light, which require excessive computational capacity, and the numerical methods used in practical engineering applications, where it is not clear how to handle spatial and temporal coherence in a statistically correct manner. As is the case for the latter methods, the numerical method described can deal with fields with a large spatial and temporal extent, which is necessary in practical applications such as laser fusion or optical lithography. However, the method also takes a few steps toward a more rigorous, yet efficient, representation of the optical field, which depends on detailed specified coherence properties of the radiation. The described method uses a set of independent monochromatic fields at different oscillation frequencies. The frequencies are chosen such that the statistical properties of the integrated intensity closely resemble those from a full-time trace treatment. Finally, we demonstrate the capabilities and limitations of the method with a few numerical examples of the propagation of a large field with a specified spatial and temporal coherence.

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Spatial coherence: comparison of interferometric and non-interferometric measurements

Cited by 5 publications

References 0 publications

<title>Application of Wigner transform for characterization of aberrated laser beams</title>

<title>Application of Wigner transform for characterization of aberrated laser beams</title>

Bulletin of the Polish Academy of Sciences: Technical Sciences

Efficient numerical representation of the optical field for the propagation of partially coherent radiation with a specified spatial and temporal coherence function

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