Fractional Fourier transform of off-axial elliptical cosh-Gaussian beams

Optik

Volumn 119, Issue 8, 2008, Pages 379-382

  Du, Xinyue ^a   Zhao, Daomu ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Fractional Fourier transform; Off axial elliptical cosh Gaussian beams; Propagation properties

Indexed keywords

COMPUTER SIMULATION; ENERGY EFFICIENCY; FOURIER TRANSFORMS; INTEGRATION; LASER BEAMS; PARAMETER ESTIMATION;

FRACTIONAL FOURIER TRANSFORMS; OFF AXIAL ELLIPTICAL COSH GAUSSIAN BEAMS; PROPAGATION PROPERTIES; VECTOR INTEGRATION;

GAUSSIAN BEAMS;

EID: 43249109094     PISSN: 00304026     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijleo.2006.12.012     Document Type: Article

References (18)

1. Namias V. The fractional order Fourier transform and its applications to quantum mechanics. J. Inst. Math. Appl. 25 (1980) 241-265
2. McBride A.C., and Kerr F.H. On Namias's fractional Fourier transform. IMA J. Appl. Math. 39 (1987) 159-175
3. Lohmann A.W. Image rotation, Wigner rotation, and the fractional Fourier transform. J. Opt. Soc. Am. A 10 (1993) 2181-2186
4. Mendlovic D., and Ozaktas H.M. Fractional Fourier transforms and their optical implementation: I. J. Opt. Soc. Am. A 10 (1993) 1875-1881
5. Ozaktas H.M., and Mendlovic D. Fractional Fourier transforms and their optical implementation: II. J. Opt. Soc. Am. A 10 (1993) 2522-2531
6. Lohmann A.W., Mendlovic D., and Zalevsky Z. Fractional transformations in optics. Prog. Opt. 38 (1998) 263-342
7. Ozaktas H.M., Zalevsky Z., and Kutay M.A. The Fractional Fourier Transform with Applications in Optics and Signal Processing (2000), Wiley, New York
8. Casperson L.W., Hall D.G., and Tovar A.A. Sinusoidal-Gaussian beams in complex optical systems. J. Opt. Soc. Am. A 14 (1997) 3341-3348
9. Tovar A.A., and Casperson L.W. Production and propagation of Hermite- sinusoidal-Gaussian laser beams. J. Opt. Soc. Am. A 15 (1998) 2425-2432
10. Lü B., Ma H., and Zhang B. Propagation properties of cosh-Gaussian beams. Opt. Commun. 164 (1999) 165-170
11. Eyyuboglu H.T., and Baykal Y. Average intensity and spreading of cosh-Gaussian laser beams in the turbulent atmosphere. Appl. Opt. 44 (2005) 976-983
12. Zhao D., Mao H., Liu H., Wang S., Jing F., and Wei X. Propagation of Hermite-cosh-Gaussian beams in apertured fractional Fourier transforming systems. Opt. Commun. 236 (2004) 225-235
13. Du X., and Zhao D. Elliptical cosh-Gaussian beams. Opt. Commun. 265 (2006) 418-424
14. Zhao D., Mao H., Zhang W., and Wang S. Propagation of off-axial Hermite-cosine-Gaussian beams through an apertured and misaligned ABCD optical system. Opt. Commun. 224 (2003) 5-12
15. Zhao D., Mao H., and Liu H. Propagation of off-axial Hermite-cosh-Gaussian laser beams. J. Opt. A: Pure Appl. Opt. 6 (2004) 77-83
16. Lin Q., Wang S., Alda J., and Bernabeu E. Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law. Optik 85 (1990) 67-72
17. Alda J., Wang S., and Bernabeu E. Analytical expression for the complex radius of curvature tensor Q for generalized Gaussian beams. Opt. Commun. 80 (1991) 350-352
18. Lin Q., and Cai Y. Fractional Fourier transform for partially coherent Gaussian-Schell model beams. Opt. Lett. 27 (2002) 1672-1674