Simple way for effective formation various nondiffractive laser beams
S.N. Khonina

Image Processing Systems Institute of the RAS,
Samara State Aerospace University

Full text of article: Russian language.

Laser radiation coherence characteristics testing on-line method was designed for holographic and interferometric schemes and devices. These parameters monitoring puts into practice with the help of special test-objects by either holographic setup or ESPI.

Key words:
optical coherence, laser, holography, ESPI, visibility, contrast, interference, mode.


  1. Bereznyi AE, Prokhorov AM, Sisakyan IN, Soifer VA. Bessel optics. Soviet Physics: Doklady 1984, 234 (4): 802-805 (in Russian) [Березный А.Е., Прохоров А.М., Сисакян И.Н., Сойфер В.А. Бессель-оптика, ДАН СССР, 234 (4), 802-805 (1984)]
  2. Bereznyi AE, Sisakyan IN. Binary elements of Bessel-optics. Computer optics 1987, 1: 132-133 (In Russian) [А.Е. Березный, И.Н. Сисакян, Бинарные элементы Бессель-оптики, Компьютерная оптика, вып. 1, 132-133 (1987)]
  3. Durnin J, Miceli JJ, and Eberly JH. Diffraction-free beams. Phys. Rev. Lett. 1987, 58(15): 1499-1501.
  4. Ziolkowski RW, Besieris IM, and Shaarawi AM. Aperture realizations of exact solutions to homogeneous-wave equations. J. Opt. Soc. Am. A 1993, 10(1): 75-87
  5. Gutierrez-Vega JC, Iturbe-Castillo MD, and Chavez-Cerda S. Alternative formulation for invariant optical fields: Mathieu beams. Opt. Lett. 2000, 25(20): 1493–1495
  6. Bandres MA, Gutierrez-Vega JC, and Chavez-Cerda S. Parabolic nondiffracting optical wave fields. Opt. Lett. 2004, 29(1): 44–46
  7. Gutierrez-Vega JC and Bandres MA. Helmholtz–Gauss waves. J. Opt. Soc. Am. A 2005, 22(2): 289-298
  8. López-Mariscal C, Bandres MA, Gutiérrez-Vega JC. Observation of the experimental propagation properties of Helmholtz-Gauss beams. Optical Engineering 2006, 45(6): 068001-(8pp)
  9. Wang K, Zeng L, and Yin Ch. Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement. Opt. Commun. 2003, 216: 99-103
  10. Aruga T, Li SW, Yoshidako S, Takabe M, and Li RM. Nondiffracting narrow light beam with small atmospheric turbulence-influenced propagation. Appl. Opt. 1999, 38(15): 3152-3156.
  11. Lu J-Y and Greenleaf JF. Diffraction-limited beams and their applications for ultrasonic imaging and tissue characterization. Proc. SPIE 1992, 1733: 92-119.
  12. Leitgeb RA, Villiger M, Bachmann AH, Steinmann L, and Lasser T. Extended focus depth for Fourier domain optical coherence microscopy. Opt. Lett. 2006, 31(16): 2450-2452
  13. Lee K-S and Rolland JP. Bessel beam spectral-domain high-resolution optical coherence tomography with micro-optic axicon providing extended focusing range. Opt. Lett. 2008, 33(15): 1696-1698
  14. Lu J-Y, Greenleaf JF. Producing deep depth of field and depth-independent resolution in NDE with limited diffraction beams. Ultrason. Imag. 1993, 15(2): 134-149
  15. Lunazzi JJ, Magalhães DSF. Photographing by means of a diffractive axicon. Annals of Optics 2006, XXIX ENFMC: 1-4
  16. Lu J-Y, Xu X-L, Zou H, and Greenleaf JF. Application of Bessel beam for doppler velocity estimation. IEEE transactions on ultrasonics, ferroelectrics, and frequency control 1995, 42(4): 649-662
  17. Arimoto R, Saloma C, Tanaka T, and Kawata S. Imaging properties of axicon in a scanning optical system. Appl. Opt. 1992, 31(31): 6653-6657
  18. Fortin M, Piché M, and Borra EF. Optical tests with Bessel beam interferometry. Optics Express 2004, 12(24): 5887-5895
  19. Reichelt S, Tiziani H, and Zappe H. Self-calibration of wavefront testing interferometers by use of diffractive elements. Proc. of SPIE 2006, 6292: 629205-(10pp)
  20. Li D, Imasaki K, Aoki M, Miyamoto S, Amano S, and Mochizuki T. Application of nondiffracting laser beam to laser compton scattering. Journal of nuclear science and technology 2003, 40(8): 579–582
  21. Garces-Chavez V, McGloin D, Melville H, Sibbett W, and Dholakia K. Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam. Nature 2002, 419: 145-147
  22. Hegner M. The light fantastic. Nature 2002, 419: 125-126
  23. Arlt J, Hitomi T, and Dholakia K. Atom guiding along Laguerre-Gaussian and Bessel light beams. Appl. Phys. B 2000, 71: 549–554
  24. Arlt J, and Dholakia K, Soneson J, and Wright EM. Optical dipole traps and atomic waveguides based on Bessel light beams. Physical Review A 2001, 63: 063602-(8pp)
  25. Tsampoula X, Garcés-Chávez V, Comrie M, Stevenson DJ, Agate B, Brown CTA, Gunn-Moore F, and Dholakia K. Femtosecond cellular transfection using a non-diffracting light beam. Applied Physics Letters 2007, 91: 053902-(3pp)
  26. Cizmar T, Kollarov V, Tsampoula X, Gunn-Moore F, Sibbett W, Bouchal Z, and Dholakia K. Generation of multiple Bessel beams for a biophotonics workstation. Optics Express 2008, 16(18): 14024-14035
  27. Durnin J. Exact solutions for nondiffracting beams. I. The scalar theory. J. Opt. Soc. Am. A 1987, 4(4): 651–654
  28. McLeod JH. The axicon: a new type of optical element. J. Opt. Soc. Am. 1954, 44: 592-597
  29. Vasara A, Turunen J, and Friberg AT. Realization of general nondiffracting beams with computer-generated holograms. J. Opt. Soc. Am. A 1989, 6: 1748-1754
  30. Kotlyr VV, Soifer VA. "Screw" spatial phase filter. Computer Optics 1992, 12: 61-65 [B. В. Котляр, В. А. Сойфер, “Винтовой" пространственный фазовый фильтр, Компьютерная оптика, вып. 12, 61-65 (1992)]
  31. Khonina SN, Kotlyar VV, Shinkaryev MV, Soifer VA, and Uspleniev GV. The phase rotor filter. J. Mod. Opt. 1992, 39: 1147–1154
  32. Lopez-Mariscal C, Gutierrez-Vega JC, and Chavez-Cerda S. Production of high-order Bessel beams with a Mach–Zehnder interferometer. Applied Optics 2004, 43(26): 5060-5063
  33. Hernández-Aranda RI, Chávez-Cerda S, Gutiérrez-Vega JC. Theory of the unstable Bessel resonator, J. Opt. Soc. Am. A 2005, 22(9): 1909-1917
  34. Sochacki J, Jaroszewicz Z, Staroiski LR, Kolodziejczyk A. Annular-aperture logarithmic axicon, J. Opt. Soc. Am. A 1993, 10(8): 1765-1768
  35. Dong B-Z, Liu J, Gu B-Y, Yang G-Z, Wang J. Rigorous electromagnetic analysis of a microcylindrical axilens with long focal depth and high transverse resolution. J. Opt. Soc. Am. A 2001, 18(7): 1465-1470
  36. Chattrapiban N, Rogers EA, Cofield D, Hill WT, Roy R. Generation of nondiffracting Bessel beams by use of a spatial light modulator. Optics Letters 2003, 28(22): 2183-2185
  37. Davis JA, Mitry MJ, Bandres MA, and Cottrell DM. Observation of accelerating parabolic beams. Optics Express 2008, 16(17): 12866-12871
  38. Arlt J, Dholakia K. Generation of high-order Bessel beams by use of an axicon. Optics Communications 2000, 177: 297–301
  39. Lopez–Mariscal C, Bandres MA, and Gutierrez–Vega JC. Observation of parabolic nondiffracting optical fields. Optics Express 2005, 13(7): 2364-2369
  40. Kotlyar VV, Kovalev AA, Khonina SN, Skidanov RV, Soifer VA, Turunen J. Diffraction of a conical wave and the Gaussian beam on a spiral phase plate. Computer Optics 2005, 28: 29-36 [Котляр В.В., Ковалев А.А., Хонина С.Н., Скиданов Р.В., Сойфер В.А., Турунен Я. Дифракция конической волны и гауссового пучка на спиральной фазовой пластинке, Компьютерная оптика, вып. 28, 29-36 (2005).]
  41. Kotlyar VV, Khonina SN, Kovalev AA, Soifer VA. Diffraction of a plane wave with finite radius on the spiral phase plate. Computer Optics 2005, 28: 37-40 [Котляр В.В., Хонина С.Н., Ковалев А.А., Сойфер В.А. Дифракция плоской волны конечного радиуса на спиральной фазовой пластинке, Компьютерная оптика, вып. 28, 37-40 (2005).
  42. Kurzynowski P and Borwinska M. Generation of vortex-type markers in a one-wave setup. Applied Optics 2007, 46(5): 676-679
  43. Arrizón V, Chavez-Cerda S, Ruiz U, Carrada R. Periodic and quasi-periodic non-diffracting wave fields generated by superposition of multiple Bessel beams. Optics Express 2007, 15(25): 16748-16753
  44. Kotlyar VV, Khonina SN, Melekhin AS, Soifer VA. Coding of diffractive optical elements by local phase jump. Computer Optics 1999, 19: 54-64 [В.В. Котляр, С.Н. Хонина, А.С. Мелехин, В.А. Сойфер Кодирование дифракционных оптических элементов  методом  локального фазового скачка, Компьютерная оптика, вып. 19, 54-64 (1999).
  45. Alvarez-Elizondo MB, Rodr?guez-Masegosa R, and Gutierrez-Vega JC. Generation of Mathieu-Gauss modes with an axicon-based laser resonator. Optics Express 2008, 16(23): 18770-18775
  46. Gutierrez-Vega JC, Iturbe-Castillo MD, Ramirez GA, Tepichin E, Rodriguez-Dagnino RM, Chavez-Cerda S, and New GHC. Experimental demonstration of optical Mathieu beams. Opt. Commun. 2001, 195: 35–40.

© 2009, ИСОИ РАН
Россия, 443001, Самара, ул. Молодогвардейская, 151; электронная почта: ; тел: +7 (846) 332-56-22, факс: +7 (846 2) 332-56-20