Generating hypergeometric laser beams with a diffractive optical element

Applied Optics

Volumn 47, Issue 32, 2008, Pages 6124-6133

  Kotlyar, V V ^a   Kovalev, A A ^a   Skidanov, R V ^a   Khonina, S N ^a   Turunen, J ^b  

^a Image Processing Systems Institute Russian Academy of Sciences   (Russian Federation)

^b UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (OPTICAL); DIFFRACTIVE OPTICAL ELEMENTS; GAUSSIAN DISTRIBUTION; LASER BEAMS;

ANALYTICAL RELATIONS; BESSEL-GAUSSIAN BEAM; DIELECTRIC MICROPARTICLES; DIFFRACTION RINGS; HYPERGEOMETRIC; LAGUERRE GAUSSIAN BEAMS; OPTICAL VORTICES; PARAXIAL LIGHT BEAM;

GAUSSIAN BEAMS;

EID: 60649116547     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.006124     Document Type: Article

References (30)

1. V. V. Kotlyar, R. V. Skidanov, S. N. Khonina, and V. A. Soifer, "Hypergeometric modes," Opt. Lett. 32, 742-744 (2007).
2. J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
3. A. Torre, "A note on the general solution of the paraxial wave equation: a Lie algebra view," J. Opt. A Pure Appl. Opt. 10, 055006 (2008).
4. J. C. Gutiérrez-Vega, "Fractionalization of optical beams: elegant Laguerre-Gaussian modes," Opt. Express 15, 6300-6313 (2007).
5. E. Karimi, G. Zito, B. Piccirillo, L. Marrucci, and E. Santamato, "Hypergeometric-Gaussian modes," Opt. Lett. 32, 3053-3055 (2007).
6. V. V. Kotlyar and A. A. Kovalev, "Family of hypergeometric laser beams," J. Opt. Soc. Am. A 25, 262-270 (2008).
7. M. A. Bandres and J. C. Gutiérrez-Vega, "Circular beams," Opt. Lett. 33, 177-179 (2008).
8. A. E. Siegman, Lasers (University Science, 1986).
9. T. Takenaka, M. Yokota, and O. Fukumitsu, "Propagation of light beams beyond the paraxial approximation," J. Opt. Soc. Am. A 2, 826-829 (1985).
10. C. F. R. Caron and R. M. Potvliege, "Bessel-modulated Gaussian beams with quadratic radial dependence," Opt. Commun. 164, 83-93 (1999).
11. F. Gori, G. Guattari, and C. Padovani, "Bessel-Gauss beams," Opt. Commun. 64, 491-495 (1987).
12. D. Rozas, C. T. Law, and G. A. Swartzlander, Jr., "Propagation dynamics of optical vortices," J. Opt. Soc. Am. B 14, 3054-3065 (1997).
13. V. V. Kotlyar, A. A. Almazov, S. N. Khonina, V. A. Soifer, H. Elfstrom, and J. Turunen, "Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate," J. Opt. Soc. Am. A 22, 849-861 (2005).
14. L. Allen, M. P. Padgett, and N. B. Simpson, "Optical tweezers and optical spanners with Laguerre-Gaussian modes," J. Mod. Opt. 43, 2485-2492 (1996).
15. S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, K Jefimovs, J. Simonen, and J. Turunen, "Rotation of microparticles with Bessel beams generated by diffractive elements," J. Mod. Opt. 51, 2167-2184 (2004).
16. V. V. Kotlyar, A. A. Kovalev, S. N. Khonina, R. V. Skidanov, V. A. Soifer, H. Elfstrom, N. Tossavainen, and J. Turunen, "Diffraction of conic and Gaussian beams by a spiral phase plate," Appl. Opt. 45, 2656-2665 (2006).
17. R. Menon and H. I. Smith, "Absorbance-modulaion optical lithography," J. Opt. Soc. Am. A 23, 2290-2294 (2006).
18. A. Jesacher, S. Furhapter, S. Bernet, and M. Ritsch-Marte, "Spiral interferogram: analysis," J. Opt. Soc. Am. A 23, 1400-1409 (2006).
19. C. Guo, Y. Han, J. Xu, and J. Ding, "Radial Hilbert transform with Laguerre-Gaussian spiral filter," Opt. Lett. 31, 1394-3196 (2006).
20. J. Enderlein and F. Pampaloni, "Unified operator approach for deriving Hermite-Gaussian and Laguerre-Gaussian laser modes," J. Opt. Soc. Am. A 21, 1553-1558 (2004).
21. E. Zauderer, "Complex argument Hermite-Gaussian and Laguerre-Gaussian beams," J. Opt. Soc. Am. A 3, 465-469 (1986).
22. M. A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian beams," Opt. Lett. 29, 144-146 (2004).
23. M. A. Bandres and J. C. Gutiérrez-Vega, "Elegant Ince-Gaussian beams," Opt. Lett. 29, 1724-1726 (2004).
24. E. G. Abramochkin and V. G. Volostnikov, "Generalized Gaussian beams," J. Opt. A Pure Appl. Opt. 6, S157 (2004).
25. G. A. Siviloglou and D. N. Christodoulides, "Accelerating finite energy Airy beams," Opt. Lett. 32, 979-981 (2007).
26. M. A. Bandres and J. C. Gutiérrez-Vega, "Cartesian beams," Opt. Lett. 32, 3459-3461 (2007).
27. M. Abramovitz and I. A. Stegun, eds., Handbook of Mathematical Functions, Applied Math Series (National Bureau of Standards, 1965).
28. A. P. Prudnikov, Y. A. Brychkov, and O. I. Marychev, Integrals and Series. Special Functions (Nauka Publishers, 1983).
29. V. A. Soifer, ed., Methods for Computer Design of Diffractive Optical Elements (Wiley, 2002).
30. L. Allen, S. M. Barnet, and M. J. Padgett, Orbital Angular Momentum (Institute of Optical Publishing, 2003).