V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, M. G. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).

[CrossRef]
[PubMed]

M. G. Raymer, M. Beck, D. F. McAlister, “Complex wave-field reconstruction using phase space tomography,” Phys. Rev. Lett. 72, 1137–1140 (1994).

[CrossRef]
[PubMed]

M. Santarsiero, F. Gori, R. Borghi, G. Guattari, “Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes,” Appl. Opt. 38, 5272–5281 (1999).

[CrossRef]

R. Borghi, M. Santarsiero, “Modal decomposition of partially coherent flat-topped beams produced by multimode lasers,” Opt. Lett. 23, 313–315 (1998).

[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, G. Guattari, “Intensity-based modal analysis of partial coherent beams with Hermite–Gaussian beams,” Opt. Lett. 23, 989–991 (1998).

[CrossRef]

K. H. Brenner, J. Ojeda-Castañeda, “Ambiguity function and Wigner distribution function applied to partially coherent imagery,” Opt. Acta 31, 213–223 (1984).

[CrossRef]

Z. Y. Wang, T. Chen, P. He, T. C. Zou, “Calculation of mode contents of high power CO2 laser beam according to the changes of transverse intensity distribution,” Opt. Commun. 175, 215–220 (1999).

[CrossRef]

C. C. Cheng, M. G. Raymer, H. Heier, “A variable lateral-shearing Sagnac interferometer with high numerical aperture for measuring the complex spatial coherence of light,” J. Mod. Opt. 47, 1237–1246 (2000).

[CrossRef]

B. Eppich, C. Gao, H. Weber, “Determination of the ten second order intensity,” Opt. Laser Technol. 30, 337–240 (1998).

[CrossRef]

B. Eppich, A. Friberg, C. Gao, H. Weber, “Twist of coherent fields and beam quality,” in Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Measuring laser beam parameters: phase and spatial coherence using the Wigner function,” in Laser Resonators, A. V. Kudryashov, A. H. Paxton, eds., Proc. SPIE3930, 76–86 (2000).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Simultaneous determination of spatial phase and coherence properties by the measurement of the Wigner distribution,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 56–70.

B. Eppich, N. Reng, “Measurement of the Wigner distribution function based in the inverse Radon transformation,” in Beam Control, Diagnostics, Standards, and Propagation, L. W. Austin, A. Giesen, D. H. Leslie, H. Weichel, eds., Proc. SPIE2375, 261–268 (1995).

[CrossRef]

H. Laabs, B. Eppich, S. Johansson, H. Weber, “Determination of phase and coherence parameters from simple caustic measurements,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 120–128.

J. Erhard, H. Laabs, B. Ozygus, H. Weber, “Diode-pumped multipath laser oscillators,” in Laser Resonators II, A. V. Kudryashov, ed., Proc. SPIE3611, 2–10 (1999).

[CrossRef]

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

B. Eppich, A. Friberg, C. Gao, H. Weber, “Twist of coherent fields and beam quality,” in Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

[CrossRef]

H. Laabs, A. T. Friberg, “Nonparaxial eigenmodes of stable resonators,” IEEE J. Quantum Electron. 35, 198–207 (1999).

[CrossRef]

E. Tervonen, J. Turunen, A. T. Friberg, “Transverse laser-mode structure determination from spatial coherence measurements—experimental results,” Appl. Phys. B 49, 409–414 (1989).

[CrossRef]

H. Laabs, C. Gao, H. Weber, “Twisting of three-dimensional Hermite–Gaussian-beams,” J. Mod. Opt. 46, 709–719 (1999).

B. Eppich, C. Gao, H. Weber, “Determination of the ten second order intensity,” Opt. Laser Technol. 30, 337–240 (1998).

[CrossRef]

B. Eppich, A. Friberg, C. Gao, H. Weber, “Twist of coherent fields and beam quality,” in Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

[CrossRef]

M. Santarsiero, F. Gori, R. Borghi, G. Guattari, “Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes,” Appl. Opt. 38, 5272–5281 (1999).

[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, G. Guattari, “Intensity-based modal analysis of partial coherent beams with Hermite–Gaussian beams,” Opt. Lett. 23, 989–991 (1998).

[CrossRef]

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

I. S. Gradshteyn, I. M. Ryzhik, Tables of Series and Products (Academic, San Diego, Calif., 1980).

H. J. Groenewold, “On the principles of elementary quantum mechanics,” Physica 12, 405ff (1946).

[CrossRef]

M. Santarsiero, F. Gori, R. Borghi, G. Guattari, “Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes,” Appl. Opt. 38, 5272–5281 (1999).

[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, G. Guattari, “Intensity-based modal analysis of partial coherent beams with Hermite–Gaussian beams,” Opt. Lett. 23, 989–991 (1998).

[CrossRef]

Z. Y. Wang, T. Chen, P. He, T. C. Zou, “Calculation of mode contents of high power CO2 laser beam according to the changes of transverse intensity distribution,” Opt. Commun. 175, 215–220 (1999).

[CrossRef]

C. C. Cheng, M. G. Raymer, H. Heier, “A variable lateral-shearing Sagnac interferometer with high numerical aperture for measuring the complex spatial coherence of light,” J. Mod. Opt. 47, 1237–1246 (2000).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Measuring laser beam parameters: phase and spatial coherence using the Wigner function,” in Laser Resonators, A. V. Kudryashov, A. H. Paxton, eds., Proc. SPIE3930, 76–86 (2000).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Simultaneous determination of spatial phase and coherence properties by the measurement of the Wigner distribution,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 56–70.

H. Laabs, B. Eppich, S. Johansson, H. Weber, “Determination of phase and coherence parameters from simple caustic measurements,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 120–128.

H. Laabs, C. Gao, H. Weber, “Twisting of three-dimensional Hermite–Gaussian-beams,” J. Mod. Opt. 46, 709–719 (1999).

H. Laabs, A. T. Friberg, “Nonparaxial eigenmodes of stable resonators,” IEEE J. Quantum Electron. 35, 198–207 (1999).

[CrossRef]

H. Laabs, B. Ozygus, “Excitation of Hermite–Gaussian-modes in end-pumped solid-state lasers via off-axis pumping,” Opt. Laser Technol. 28, 213–214 (1996).

[CrossRef]

J. Erhard, H. Laabs, B. Ozygus, H. Weber, “Diode-pumped multipath laser oscillators,” in Laser Resonators II, A. V. Kudryashov, ed., Proc. SPIE3611, 2–10 (1999).

[CrossRef]

H. Laabs, B. Eppich, S. Johansson, H. Weber, “Determination of phase and coherence parameters from simple caustic measurements,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 120–128.

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Simultaneous determination of spatial phase and coherence properties by the measurement of the Wigner distribution,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 56–70.

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Measuring laser beam parameters: phase and spatial coherence using the Wigner function,” in Laser Resonators, A. V. Kudryashov, A. H. Paxton, eds., Proc. SPIE3930, 76–86 (2000).

[CrossRef]

A. Liesenhoff, F. Ruehl, “An interferometric method of laser beam analysis,” Rev. Sci. Instrum. 38, 4059–4065 (1995).

[CrossRef]

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, M. G. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).

[CrossRef]
[PubMed]

M. G. Raymer, M. Beck, D. F. McAlister, “Complex wave-field reconstruction using phase space tomography,” Phys. Rev. Lett. 72, 1137–1140 (1994).

[CrossRef]
[PubMed]

K. H. Brenner, J. Ojeda-Castañeda, “Ambiguity function and Wigner distribution function applied to partially coherent imagery,” Opt. Acta 31, 213–223 (1984).

[CrossRef]

H. Laabs, B. Ozygus, “Excitation of Hermite–Gaussian-modes in end-pumped solid-state lasers via off-axis pumping,” Opt. Laser Technol. 28, 213–214 (1996).

[CrossRef]

J. Erhard, H. Laabs, B. Ozygus, H. Weber, “Diode-pumped multipath laser oscillators,” in Laser Resonators II, A. V. Kudryashov, ed., Proc. SPIE3611, 2–10 (1999).

[CrossRef]

L. J. Pelz, B. L. Anderson, “Practical use of the spatial coherence function for determining laser transverse mode structure,” Opt. Eng. 34, 3323–3328 (1995).

[CrossRef]

C. C. Cheng, M. G. Raymer, H. Heier, “A variable lateral-shearing Sagnac interferometer with high numerical aperture for measuring the complex spatial coherence of light,” J. Mod. Opt. 47, 1237–1246 (2000).

[CrossRef]

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, M. G. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).

[CrossRef]
[PubMed]

M. G. Raymer, M. Beck, D. F. McAlister, “Complex wave-field reconstruction using phase space tomography,” Phys. Rev. Lett. 72, 1137–1140 (1994).

[CrossRef]
[PubMed]

B. Eppich, N. Reng, “Measurement of the Wigner distribution function based in the inverse Radon transformation,” in Beam Control, Diagnostics, Standards, and Propagation, L. W. Austin, A. Giesen, D. H. Leslie, H. Weichel, eds., Proc. SPIE2375, 261–268 (1995).

[CrossRef]

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

A. Liesenhoff, F. Ruehl, “An interferometric method of laser beam analysis,” Rev. Sci. Instrum. 38, 4059–4065 (1995).

[CrossRef]

I. S. Gradshteyn, I. M. Ryzhik, Tables of Series and Products (Academic, San Diego, Calif., 1980).

M. Santarsiero, F. Gori, R. Borghi, G. Guattari, “Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes,” Appl. Opt. 38, 5272–5281 (1999).

[CrossRef]

F. Gori, M. Santarsiero, R. Borghi, G. Guattari, “Intensity-based modal analysis of partial coherent beams with Hermite–Gaussian beams,” Opt. Lett. 23, 989–991 (1998).

[CrossRef]

R. Borghi, M. Santarsiero, “Modal decomposition of partially coherent flat-topped beams produced by multimode lasers,” Opt. Lett. 23, 313–315 (1998).

[CrossRef]

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

A. E. Siegman, S. W. Townsend, “Output beam propagation and beam quality from multimode stable-cavity laser,” IEEE J. Quantum Electron. 19, 1212–1217 (1993).

[CrossRef]

A. E. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990).

[CrossRef]

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

P. Spano, “Connection between spatial coherence and modal structure in optical fibers and semiconductor lasers,” Opt. Commun. 33, 265–270 (1980).

[CrossRef]

E. Tervonen, J. Turunen, A. T. Friberg, “Transverse laser-mode structure determination from spatial coherence measurements—experimental results,” Appl. Phys. B 49, 409–414 (1989).

[CrossRef]

P. Toft, “The Radon transform—theory and implementation,” Ph.D. dissertation (Department of Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark, 1996).

A. E. Siegman, S. W. Townsend, “Output beam propagation and beam quality from multimode stable-cavity laser,” IEEE J. Quantum Electron. 19, 1212–1217 (1993).

[CrossRef]

E. Tervonen, J. Turunen, A. T. Friberg, “Transverse laser-mode structure determination from spatial coherence measurements—experimental results,” Appl. Phys. B 49, 409–414 (1989).

[CrossRef]

Z. Y. Wang, T. Chen, P. He, T. C. Zou, “Calculation of mode contents of high power CO2 laser beam according to the changes of transverse intensity distribution,” Opt. Commun. 175, 215–220 (1999).

[CrossRef]

H. Laabs, C. Gao, H. Weber, “Twisting of three-dimensional Hermite–Gaussian-beams,” J. Mod. Opt. 46, 709–719 (1999).

B. Eppich, C. Gao, H. Weber, “Determination of the ten second order intensity,” Opt. Laser Technol. 30, 337–240 (1998).

[CrossRef]

H. Weber, “Propagation of higher-order intensity moments in quadratic-index media,” Opt. Quantum Electron. 24, 1027–1050 (1992).

[CrossRef]

B. Eppich, A. Friberg, C. Gao, H. Weber, “Twist of coherent fields and beam quality,” in Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Simultaneous determination of spatial phase and coherence properties by the measurement of the Wigner distribution,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 56–70.

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Measuring laser beam parameters: phase and spatial coherence using the Wigner function,” in Laser Resonators, A. V. Kudryashov, A. H. Paxton, eds., Proc. SPIE3930, 76–86 (2000).

[CrossRef]

J. Erhard, H. Laabs, B. Ozygus, H. Weber, “Diode-pumped multipath laser oscillators,” in Laser Resonators II, A. V. Kudryashov, ed., Proc. SPIE3611, 2–10 (1999).

[CrossRef]

H. Laabs, B. Eppich, S. Johansson, H. Weber, “Determination of phase and coherence parameters from simple caustic measurements,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 120–128.

Z. Y. Wang, T. Chen, P. He, T. C. Zou, “Calculation of mode contents of high power CO2 laser beam according to the changes of transverse intensity distribution,” Opt. Commun. 175, 215–220 (1999).

[CrossRef]

A. Cutolo, T. Isernia, I. Izzo, R. Pierri, L. Zeni, “Transverse mode analysis of a laser beam by near- and far-field intensity measurements,” Appl. Opt. 34, 7974–7978 (1995).

[CrossRef]
[PubMed]

C. M. Warnky, B. L. Anderson, C. A. Klein, “Determining spatial modes of lasers with spatial coherence measurements,” Appl. Opt. 39, 6109–6117 (2000).

[CrossRef]

J. B. McManus, P. L. Kebian, M. S. Zahniser, “Astigmatic mirror multipath absorption cells for long-path-length spectroscopy,” Appl. Opt. 34, 3336–3348 (1995).

[CrossRef]
[PubMed]

M. Santarsiero, F. Gori, R. Borghi, G. Guattari, “Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes,” Appl. Opt. 38, 5272–5281 (1999).

[CrossRef]

E. Tervonen, J. Turunen, A. T. Friberg, “Transverse laser-mode structure determination from spatial coherence measurements—experimental results,” Appl. Phys. B 49, 409–414 (1989).

[CrossRef]

A. E. Siegman, S. W. Townsend, “Output beam propagation and beam quality from multimode stable-cavity laser,” IEEE J. Quantum Electron. 19, 1212–1217 (1993).

[CrossRef]

H. Laabs, A. T. Friberg, “Nonparaxial eigenmodes of stable resonators,” IEEE J. Quantum Electron. 35, 198–207 (1999).

[CrossRef]

H. Laabs, C. Gao, H. Weber, “Twisting of three-dimensional Hermite–Gaussian-beams,” J. Mod. Opt. 46, 709–719 (1999).

C. C. Cheng, M. G. Raymer, H. Heier, “A variable lateral-shearing Sagnac interferometer with high numerical aperture for measuring the complex spatial coherence of light,” J. Mod. Opt. 47, 1237–1246 (2000).

[CrossRef]

M. J. Bastiaans, “The Wigner distribution function of partially coherent light,” Opt. Acta 28, 1215–1224 (1981).

[CrossRef]

K. H. Brenner, J. Ojeda-Castañeda, “Ambiguity function and Wigner distribution function applied to partially coherent imagery,” Opt. Acta 31, 213–223 (1984).

[CrossRef]

Z. Y. Wang, T. Chen, P. He, T. C. Zou, “Calculation of mode contents of high power CO2 laser beam according to the changes of transverse intensity distribution,” Opt. Commun. 175, 215–220 (1999).

[CrossRef]

P. Spano, “Connection between spatial coherence and modal structure in optical fibers and semiconductor lasers,” Opt. Commun. 33, 265–270 (1980).

[CrossRef]

L. J. Pelz, B. L. Anderson, “Practical use of the spatial coherence function for determining laser transverse mode structure,” Opt. Eng. 34, 3323–3328 (1995).

[CrossRef]

B. Eppich, C. Gao, H. Weber, “Determination of the ten second order intensity,” Opt. Laser Technol. 30, 337–240 (1998).

[CrossRef]

H. Laabs, B. Ozygus, “Excitation of Hermite–Gaussian-modes in end-pumped solid-state lasers via off-axis pumping,” Opt. Laser Technol. 28, 213–214 (1996).

[CrossRef]

R. Simon, G. S. Agarwal, “Wigner representation of Laguerre–Gaussian beams,” Opt. Lett. 25, 1313–1315 (2000).

[CrossRef]

D. F. McAlister, M. Beck, L. Clarke, A. Mayer, M. G. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).

[CrossRef]
[PubMed]

C. Iaconis, I. A. Walmsley, “Direct measurement of the two-point field correlation function,” Opt. Lett. 21, 1783–1785 (1996).

[CrossRef]
[PubMed]

F. Gori, M. Santarsiero, R. Borghi, G. Guattari, “Intensity-based modal analysis of partial coherent beams with Hermite–Gaussian beams,” Opt. Lett. 23, 989–991 (1998).

[CrossRef]

R. Borghi, M. Santarsiero, “Modal decomposition of partially coherent flat-topped beams produced by multimode lasers,” Opt. Lett. 23, 313–315 (1998).

[CrossRef]

H. Weber, “Propagation of higher-order intensity moments in quadratic-index media,” Opt. Quantum Electron. 24, 1027–1050 (1992).

[CrossRef]

J. Tu, S. Tamura, “Wave field determination using tomography of the ambiguity function,” Phys. Rev. E 55, 1946–1949 (1997).

[CrossRef]

M. G. Raymer, M. Beck, D. F. McAlister, “Complex wave-field reconstruction using phase space tomography,” Phys. Rev. Lett. 72, 1137–1140 (1994).

[CrossRef]
[PubMed]

H. J. Groenewold, “On the principles of elementary quantum mechanics,” Physica 12, 405ff (1946).

[CrossRef]

A. Liesenhoff, F. Ruehl, “An interferometric method of laser beam analysis,” Rev. Sci. Instrum. 38, 4059–4065 (1995).

[CrossRef]

H. Laabs, B. Eppich, S. Johansson, H. Weber, “Determination of phase and coherence parameters from simple caustic measurements,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 120–128.

J. Erhard, H. Laabs, B. Ozygus, H. Weber, “Diode-pumped multipath laser oscillators,” in Laser Resonators II, A. V. Kudryashov, ed., Proc. SPIE3611, 2–10 (1999).

[CrossRef]

“Lasers and laser-related equipment—Test methods for laser beam parameters—Beam positional stability,” 9 (1999).

“Optics and optical instruments–Lasers and laser-related equipment–Test methods for laser beam parameters: phase distribution,” (1999).

“Lasers and laser-related equipment—Test methods for laser beam parameters—Beam widths, divergence angle and beam propagation factor,” 9 (1999).

“Optics and optical instruments—Lasers and laser-related equipment—Test methods for laser beam power (energy) density distribution,” 9 (2000).

“Lasers and laser-related equipment—Test methods for laser beam parameters—Polarization,” 9 (1999).

V. Bagini, F. Gori, M. Santarsiero, F. Frezza, G. Schettini, M. Richetta, G. S. Spagmola, “On a class of twisting beams,” in Proceedings of the First Workshop on Laser Beam Characterization, Madrid, P. M. Mejias, H. Weber, R. Martinez-Herrero, A. Gonazales-Urena-Sociedad, eds. (Espanola de Optica, Madrid, 1993), pp. 31ff.

B. Eppich, A. Friberg, C. Gao, H. Weber, “Twist of coherent fields and beam quality,” in Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Simultaneous determination of spatial phase and coherence properties by the measurement of the Wigner distribution,” in Laser Beam and Optics Characterization, H. Weber, H. Laabs, eds. (Technische Universität Berlin, Optisches Institut, Berlin, 2000), pp. 56–70.

B. Eppich, N. Reng, “Measurement of the Wigner distribution function based in the inverse Radon transformation,” in Beam Control, Diagnostics, Standards, and Propagation, L. W. Austin, A. Giesen, D. H. Leslie, H. Weichel, eds., Proc. SPIE2375, 261–268 (1995).

[CrossRef]

B. Eppich, S. Johansson, H. Laabs, H. Weber, “Measuring laser beam parameters: phase and spatial coherence using the Wigner function,” in Laser Resonators, A. V. Kudryashov, A. H. Paxton, eds., Proc. SPIE3930, 76–86 (2000).

[CrossRef]

A. E. Siegman, “New developments in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990).

[CrossRef]

I. S. Gradshteyn, I. M. Ryzhik, Tables of Series and Products (Academic, San Diego, Calif., 1980).

P. Toft, “The Radon transform—theory and implementation,” Ph.D. dissertation (Department of Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark, 1996).