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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 976–982

Propagation of broadband Gaussian Schell-model beams in the apertured fractional Fourier transformation systems

Haidan Mao, Xinyue Du, Linfei Chen, and Daomu Zhao  »View Author Affiliations


JOSA A, Vol. 28, Issue 6, pp. 976-982 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000976


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Abstract

On the basis of the fact that a hard-edged aperture function can be expressed as finite matrices with different weighting coefficients, we obtain the analytical formula for the propagation of the broadband Gaussian Schell- model (BGSM) beam through the apertured fractional Fourier transformation (AFrFT) system. It is shown by numerical examples that the intensity distribution in the plane of a small fractional order is obviously influenced by the bandwidth when the BGSM beams propagate through the AFrFT system. Further extensions are also pointed out.

© 2011 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(070.2590) Fourier optics and signal processing : ABCD transforms
(350.5500) Other areas of optics : Propagation
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Diffraction and Gratings

History
Original Manuscript: January 10, 2011
Revised Manuscript: March 18, 2011
Manuscript Accepted: March 18, 2011
Published: May 9, 2011

Citation
Haidan Mao, Xinyue Du, Linfei Chen, and Daomu Zhao, "Propagation of broadband Gaussian Schell-model beams in the apertured fractional Fourier transformation systems," J. Opt. Soc. Am. A 28, 976-982 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-976


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References

  1. A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181–2186(1993). [CrossRef]
  2. D. M. Zhao, H. D. Mao, H. J. Liu, S. M. Wang, F. Jing, and X. F. Wei, “Propagation of Hermite-cosh-Gaussian beams in apertured fractional Fourier transforming systems,” Opt. Commun. 236, 225–235 (2004). [CrossRef]
  3. X. Y. Du and D. M. Zhao, “Fractional Fourier transform of truncated elliptical Gaussian beams,” Appl. Opt. 45, 9049–9052(2006). [CrossRef] [PubMed]
  4. F. Wang, Y. J. Cai, and Q. Lin, “Experimental observation of truncated fractional Fourier transform for a partially coherent Gaussian Schell-model beam,” J. Opt. Soc. Am. A 25, 2001–2010(2008). [CrossRef]
  5. Y. Q. Gao, B. Q. Zhu, D. Z. Liu, and Z. Q. Liu, “Fractional Fourier transform of flat-topped multi-Gaussian beams,” J. Opt. Soc. Am. A 27, 358–365 (2010). [CrossRef]
  6. Y. J. Cai and Q. Lin, “Transformation and spectrum properties of partially coherent beams in the fractional Fourier transform plane,” J. Opt. Soc. Am. A 20, 1528–1536 (2003). [CrossRef]
  7. J. J. Wen and M. A. Breazeale, “A diffraction beam field expressed as a superposition of Gaussian beams,” J. Acoust. Soc. Am. 83, 1752–1756 (1988). [CrossRef]
  8. H. D. Mao and D. M. Zhao, “Three models for a hard aperture function and corresponding approximate analytical propagation equations of a Gaussian beam through an apertured optical system,” J. Opt. Soc. Am. A 22, 647–653 (2005). [CrossRef]
  9. X. Deng, W. Yu, S. Chen, L. Ding, and W. Tan, “Output power increase of high power Nd: glass laser by bandwidth,” Acta Optica Sinica 3, 97–101 (1983) (in Chinese). [CrossRef]
  10. I. P. Christov, “Propagation of femtosecond light pulses,” Opt. Commun. 53, 364–366 (1985). [CrossRef]
  11. M. A. Porras, “Nonsinusoidal few-cycle pulsed light beams in free space,” J. Opt. Soc. Am. B 16, 1468–1474 (1999). [CrossRef]
  12. F. Simin and G. W. Herbert, “Spatiotemporal structure of isodiffracting ultrashort electromagnetic pulses,” Phys. Rev. E 61, 862–873 (2000). [CrossRef]
  13. M. A. Porras, “Diffraction effects in few-cycle optical pulses,” Phys. Rev. E 65, 026606 (2002). [CrossRef]
  14. R. W. Peng, Y. X. Ye, Z. X. Tang, and D. Y. Fan, “Transverse intensity distributions of a broadband laser modulated by a hard-edged aperture,” J. Opt. Soc. Am. A 22, 1903–1908 (2005). [CrossRef]
  15. Q. Cao and X. M. Deng, “Spatial parametric characterization of general polychromatic light beams,” Opt. Commun. 142, 135–145 (1997). [CrossRef]
  16. H. D. Mao and D. M. Zhao, “Parametric characteristics for a broadband Gaussian beam in free space,” Appl. Phys. B 100, 611–616 (2010). [CrossRef]
  17. H. D. Mao and D. M. Zhao, “Second-order intensity-moment characteristics for broadband partially coherent flat-topped beams in atmospheric turbulence,” Opt. Express 18, 1741–1755(2010). [CrossRef] [PubMed]
  18. L. Z. Pan and B. D. Lu, “Spectral switches of polychromatic Gaussian beams passing through an astigmatic aperture lens,” Opt. Commun. 234, 13–22 (2004). [CrossRef]
  19. S. Wang and D. Zhao, Matrix Optics (CHEP-Springer, 2000).
  20. S. A. Collins, “Lens-system diffraction integral written in terms of matrix optics,” J. Opt. Soc. Am. A 60, 1168–1170(1970). [CrossRef]
  21. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995).
  22. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  23. I. H. Malitson, “Interspecimen comparison of the refractive index of fused silica,” J. Opt. Soc. Am. 55, 1205–1209 (1965). [CrossRef]
  24. A. Erdelyi, Tables of Integral Transforms (McGraw-Hill, 1954).

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