## Experimental determination of the radius of curvature of an isotropic Gaussian Schell-model beam |

JOSA A, Vol. 30, Issue 2, pp. 171-176 (2013)

http://dx.doi.org/10.1364/JOSAA.30.000171

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### Abstract

We propose a method to determine the radius of curvature of an isotropic Gaussian Schell-model (GSM) beam by measuring the transverse beam widths and the transverse coherence widths at two different planes. Furthermore, we carry out experimental determination of the radius of curvature of a GSM beam. Using the measured beam parameters, we carry out a comparative study of the propagation properties of a GSM beam both theoretically and experimentally. Our experimental results agree well with theoretical predictions.

© 2013 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(030.1670) Coherence and statistical optics : Coherent optical effects

(350.5500) Other areas of optics : Propagation

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: October 16, 2012

Revised Manuscript: December 11, 2012

Manuscript Accepted: December 12, 2012

Published: January 10, 2013

**Citation**

Shijun Zhu, Yahong Chen, and Yangjian Cai, "Experimental determination of the radius of curvature of an isotropic Gaussian Schell-model beam," J. Opt. Soc. Am. A **30**, 171-176 (2013)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-2-171

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### References

- L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
- Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, “Random phasing of high-power lasers for uniform target acceleration and plasma-instability suppression,” Phys. Rev. Lett. 53, 1057–1060 (1984). [CrossRef]
- J. N. Clark, X. Huang, R. Harder, and I. K. Robinson, “High-resolution three-dimensional partially coherent diffraction imaging,” Nat. Commun. 3, 993 (2012). [CrossRef]
- T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkin, “Generalized eikonal of partially coherent beams and its use in quantitative imaging,” Phys. Rev. Lett. 93, 068103 (2004). [CrossRef]
- Y. Cai and S. Zhu, “Ghost interference with partially coherent radiation,” Opt. Lett. 29, 2716–2718 (2004). [CrossRef]
- Y. Cai and S. Zhu, “Ghost imaging with incoherent and partially coherent light radiation,” Phys. Rev. E 71, 056607 (2005). [CrossRef]
- D. Kermisch, “Partially coherent image processing by laser scanning,” J. Opt. Soc. Am. 65, 887–891 (1975). [CrossRef]
- A. Belendez, L. Carretero, and A. Fimia, “The use of partially coherent light to reduce the efficiency of silver halide noise gratings,” Opt. Commun. 98, 236–240 (1993). [CrossRef]
- J. C. Ricklin and F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” J. Opt. Soc. Am. A 19, 1794–1802 (2002). [CrossRef]
- Y. Cai and U. Peschel, “Second-harmonic generation by an astigmatic partially coherent beam,” Opt. Express 15, 15480–15492 (2007). [CrossRef]
- Y. Cai and S. He, “Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere,” Appl. Phys. Lett. 89, 041117 (2006). [CrossRef]
- Y. Cai, O. Korotkova, H. T. Eyyuboğlu, and Y. Baykal, “Active laser radar systems with stochastic electromagnetic beams in turbulent atmosphere,” Opt. Express 16, 15834–15846 (2008). [CrossRef]
- Y. Yuan, Y. Cai, J. Qu, H. T. Eyyuboğlu, Y. Baykal, and O. Korotkova, “M2-factor of coherent and partially coherent dark hollow beams propagating in turbulent atmosphere,” Opt. Express 17, 17344–17356 (2009). [CrossRef]
- F. Wang and Y. Cai, “Second-order statistics of a twisted Gaussian Schell-model beam in turbulent atmosphere,” Opt. Express 18, 24661–24672 (2010). [CrossRef]
- G. Wu and Y. Cai, “Detection of a semi-rough target in turbulent atmosphere by a partially coherent beam,” Opt. Lett. 36, 1939–1942 (2011). [CrossRef]
- C. Ding, Y. Cai, O. Korotkova, Y. Zhang, and L. Pan, “Scattering-induced changes in the temporal coherence length and the pulse duration of a partially coherent plane-wave pulse,” Opt. Lett. 36, 517–519 (2011). [CrossRef]
- C. Zhao and Y. Cai, “Trapping two types of particles using a focused partially coherent elegant Laguerre–Gaussian beam,” Opt. Lett. 36, 2251–2253 (2011). [CrossRef]
- F. Wang, Y. Cai, H. T. Eyyuboğlu, and Y. Baykal, “Twist phase-induced reduction in scintillation of a partially coherent beam in turbulent atmosphere,” Opt. Lett. 37, 184–186 (2012). [CrossRef]
- E. Wolf and E. Collett, “Partially coherent sources which produce same far-field intensity distribution as a laser,” Opt. Commun. 25, 293–296 (1978). [CrossRef]
- P. de Santis, F. Gori, G. Guattari, and C. Palma, “An example of a Collett–Wolf source,” Opt. Commun. 29, 256–260 (1979). [CrossRef]
- F. Gori, “Collet–Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980). [CrossRef]
- A. T. Friberg, and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982). [CrossRef]
- A. T. Friberg and J. Turunen, “Algebraic and graphical propagation methods for Gaussian Schell-model beams,” Opt. Eng. 25, 857–864 (1986). [CrossRef]
- E. Tervonen, A. T. Friberg, and J. Turunen, “Gaussian Schell-model beams generated with synthetic acousto-optic holograms,” J. Opt. Soc. Am. A 9, 796–803 (1992). [CrossRef]
- M. J. Bastiaans, “Application of the Wigner distribution function to partially coherent light,” J. Opt. Soc. Am. A 3, 1227–1238 (1986). [CrossRef]
- Q. Lin and Y. Cai, “Tensor ABCD law for partially coherent twisted anisotropic Gaussian-Schell model beams,” Opt. Lett. 27, 216–218 (2002). [CrossRef]
- Q. Lin and Y. Cai, “Fractional Fourier transform for partially coherent Gaussian Schell-model beams,” Opt. Lett. 27, 1672–1674 (2002). [CrossRef]
- F. Wang and Y. Cai, “Experimental observation of fractional Fourier transform for a partially coherent optical beam with Gaussian statistics,” J. Opt. Soc. Am. A 24, 1937–1944 (2007). [CrossRef]
- F. Wang, Y. Cai, and O. Korotkova, “Experimental observation of focal shifts in focused partially coherent beams,” Opt. Commun. 282, 3408–3413 (2009). [CrossRef]
- X. Ji and X. Li, “Effective radius of curvature of partially coherent Hermite–Gaussian beams propagating through atmospheric turbulence,” J. Opt. 12, 035403 (2010). [CrossRef]

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