Propagation properties of Bessel and Bessel-Gaussian beams in a fractional Fourier transform optical system

Optics and Laser Technology

Volumn 42, Issue 2, 2010, Pages 280-284

  Zhao, Chengliang ^a   Huang, Kaikai ^a   Lu, Xuanhui ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Bessel Gaussian beams; Fractional Fourier transform; Propagation properties

Indexed keywords

BESSEL BEAM; BESSEL-GAUSSIAN BEAM; BESSEL-GAUSSIAN BEAMS; CYLINDRICAL COORDINATE SYSTEMS; FRACTIONAL FOURIER TRANSFORM; FRACTIONAL FOURIER TRANSFORMS; NUMERICAL EXAMPLE; PROPAGATION PROPERTIES;

GAUSSIAN BEAMS; GAUSSIAN NOISE (ELECTRONIC); MINES; OPTICAL PROPERTIES; OPTICAL SYSTEMS; OPTICAL WAVEGUIDES;

FOURIER TRANSFORMS;

EID: 70350572224     PISSN: 00303992     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optlastec.2009.07.003     Document Type: Article

References (29)

1. Kuga T., Torii Y., Shiokawa N., et al. Novel optical trip of atoms with a doughnut beam. Phys Rev Lett 78 (1997) 4713-4716
2. Ovchinnikov Y.B., Manek I., and Grimm R. Cs atoms based on evanescent-wave cooling. Phys Rev Lett 79 (1997) 2225-2228
3. Song Y., Milam D., and H Jr. W.T. Long, narrow all-light atom guide. Opt Lett 24 (1999) 1805-1807
4. Bongs K., Burger S., Dettmer S., et al. Waveguide for Bose-Einstein condensates. Phys Rev A 63 (2001) 031602
5. Christou J., Tikhonenko V., Kivshar Y.S., et al. Vortex soliton motion and steering. Opt Lett 21 (1996) 1649-1651
6. Mehta D., Rief M., Spudich J.A., et al. Single-molecule biomechanics with optical methods. Science 283 (1999) 1689-1695
7. Paterson L., Macdonald M., Arlt J., et al. Controlled rotation of optically trapped microscopic particles. Science 292 (2001) 912-914
8. Simpson N.B., Dholakia K., Allen L., et al. Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. Opt Lett 22 (1997) 52-54
9. Siegmen A.E. Lasers (1986), University Science, Mill Valley, Calif
10. Cai Y.J., Lu X.H., and Lin Q. Hollow Gaussian beams and their propagation properties. Opt Lett 28 (2003) 1084-1086
11. Bagini V., Frezza F., Santarsiero M., et al. Generalized Bessel-Gauss beams. J Mod Opt 43 (1996) 1155-1166
12. Palma C., Borghi R., and Cincotti G. Beams originated by J0-correlated Schell-model planar sources. Opt Commun 125 (1996) 113-121
13. Lu X.H., Chen X.M., Zhang L., et al. High-order Bessel-Gaussian beam and its propagation properties. Chin Phys Lett 20 (2003) 2155-2157
14. Zhao C.L., Wang L.G., Chen H., et al. Propagation of high-order Bessel-Gaussian beam through a misaligned first-order optical system. Opt Laser Technol 39 (2007) 1199-1203
15. Zhao C.L., Wang L.G., and Lu X.H. Radiation forces of highly focused Bessel-Gaussian beams on a dielectric sphere. Optik 119 (2008) 477-480
16. Namias V. The fractional order Fourier transform and its applications to quantum mechanics. J Inst Math Appl 25 (1980) 241-265
17. Lohmann A.W. Image rotation, Wigner rotaion, and the Fractional Fourier transform. J Opt Soc Am A 10 (1993) 2181-2186
18. Mendlovic D., and Ozaktas H.M. Fractional Fourier transforms and their optical implementation: I. J Opt Soc Am A 10 (1993) 1875-1881
19. Liu Z.Y., Wu X.Y., and Fan D.Y. Collins formula in frequency-domain and fractional Fourier transforms. Opt Commun 155 (1998) 7-11
20. Lohmann A.W., Mendlovic D., and Zalevsky Z. Fractional Hilbert transform. Opt Lett 21 (1996) 281-283
21. Mendlovic D., Zalevsky Z., Dorsch R.G., et al. New signal representation based on the fractional Fourier transform: definitions. J Opt Soc Am A 12 (1995) 2424-2431
22. Pellat-Finet P. Fresnel diffraction and the fractional-order Fourier transforms. Opt Lett 19 (1994) 1388-1390
23. Yu L., Lu X., Zeng Y., et al. Deriving the integral representation of a fractional Hankel transform from a fractional Fourier transform. Opt Lett 23 (1998) 1158-1160
24. Zhang Y., Dong B Z., Gu B Y., et al. Beam shaping in the fractional Fourier transform domain. J Opt Soc Am A 15 (1998) 1114-1120
25. Zhu B.H., and Liu S.T. Multifractional correlation. Opt Lett 26 (2001) 578-580
26. Zhao D.M., Mao H.D., Liu H.J., et al. Propagation of Hermite-Gaussian beams in apertured fractional Fourier transforming systems. Optik 114 (2003) 504-508
27. Zhao D.M., Mao H.D., Zheng C.W., et al. The propagation properties and kurtosis parametric characteristics of Hermite-cosh-Gaussian beams passing through fractional Fourier transformation systems. Optik 116 (2005) 461-468
28. Zheng C.W. Fractional Fourier transform for a hollow Gaussian beam. Phys Lett A 355 (2006) 156-161
29. Du X.Y., and Zhao D M. Fractional Fourier transform of truncated elliptical Gaussian beams. Appl Opt 45 (2006) 9049-9052