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Torque-operated gradient-index
axicon
Vasylkiv Yu., Smyk M., Skab I. and Vlokh R.
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Abstract. We describe a gradient-index axicon based on twisting
of crystals. We demonstrate that the focal length of the axicon can be
efficiently operated by the torsion moment. The working analytical relations
describing the focal length of the axicon and its dependence on different
geometrical parameters as well as the torsion moment has been derived.
Keywords: axicon, piezooptic effect, torsion
stress, lithium niobate crystals
PACS: 42.79.Bh, 78.20.Hp
UDC: 535.316+535.55
Ukr. J. Phys. Opt.
15 9-16
doi: 10.3116/16091833/15/1/9/2014
Received: 18.09.2013
Анотація. В роботі описано аксікон
граданного типу на основі кручення кристалів.
Показано, що фокусна відстань аксікона
може керуватись торсійним моментом. Отримані
співвідношення, які описують залежність
фокусної відстані аксікона від його геометричних
параметрів та торсійного моменту. |
|
REFERENCES
-
Durnin J, 1987. Exact solutions for nondiffracting beams. I. The scalar
theory. J. Opt. Soc. Am. A 4: 651–654. doi:10.1364/JOSAA.4.000651
-
Durnin J, Miceli J J Jr, and Eberly J H, 1987. Diffraction-free beams.
Phys. Rev. Lett. 58: 1499–1501. doi:10.1103/PhysRevLett.58.1499
PMid:10034453
-
McLeod J H, 1954. The axicon: A new type of optical element. J. Opt. Soc.
Am. 44: 592–592. doi:10.1364/JOSA.44.000592
-
McLeod J H, 1960. Axicons and their uses. J. Opt. Soc. Am. 50: 166–169.
doi:10.1364/JOSA.50.000166
-
Manek I, Ovchinnikov Yu B, and Grimm R, 1998. Generation of a hollow laser
beam for atom trapping using an axicon. Opt. Comm. 147: 67–70. doi:10.1016/S0030-4018(97)00645-7
-
Zeng D, Latham W P, and Kar A, 2006. Characteristic analysis of a refractive
axicon system for optical trepanning. Opt. Eng. 45: 094302–1. doi:10.1117/1.2353119
-
Zeng D, Latham W P, and Kar A, 2006. Shaping of annular laser intensity
profiles and their thermal effects for optical trepanning. Opt. Eng. 45:
14301–1. doi:10.1117/1.2150789
-
Zhihua Ding, Hongwu Ren, Yonghua Zhao, J. Stuart Nelson, and Zhongping
Chen, 2002. High-resolution optical coherence tomography over a large depth
range with an axicon lens. Opt. Lett. 27: 243–245. doi:10.1364/OL.27.000243PMid:18007767
-
Dudley A, Lavery M, Padgett M, and Forbes A, 2013. Unraveling Bessel beams.
Opt. & Photon. News, June, 22–29. doi:10.1364/OPN.24.6.000022
-
Marchand E W, 1990. Axicon gradient lenses. Appl. Opt. 29: 4001–4002.
doi:10.1364/AO.29.004001
PMid:20577335
-
Fischer D J, Harkrider C J, and Moore D T, 2000. Design and manufacture
of a gradient-index axicon. Appl. Opt. 39: 2687–2694. doi:10.1364/AO.39.002687PMid:18345190
-
De Saint-Denis R, Cagniot E, Leprince P, Fromarger M, and Ait-Ameur K,
2008. Low cost adjustable axicon. Optoel. Adv. Mater. 2: 693–696.
-
Tsai T, McLeod E, and Arnold C B, 2006. Generating Bessel beams with a
tunable acoustic gradient index of refraction lens. Proc. SPIE 6326 Optical
trapping and optical micromanipulations III 63261F.
-
Sirotin Yu I and Shaskolskaya M P, Fundamentals of crystal physics. Moscow:
Nauka (1979).
-
Narasimhamurty T S, Photoelastic and electrooptic properties of crystals.
New-York: Plenum Press (1981). doi:10.1007/978-1-4757-0025-1
-
Vlokh R, Kostyrko M, and Skab I, 1998. Principle and application of crystallooptical
effects induced by inhomogeneous deformation. Japan J. Appl. Phys. 37:
5418–5420. doi:10.1143/JJAP.37.5418
-
Skab I, Smaga I, Savaryn V, Vasylkiv Yu, and Vlokh R, 2011. Torsion method
for measuring piezooptic coefficients. Cryst. Res. Techn. 46: 23–36.
doi:10.1002/crat.201000495
-
Skab I, Vasylkiv Yu, Zapeka B, Savaryn V, and Vlokh R, 2011. Appearance
of singularities of optical fields under torsion of crystals containing
threefold symmetry axes. J. Opt. Soc. Am. A. 28: 1331–1340. doi:10.1364/JOSAA.28.001331PMid:21734730
-
Skab I, Vasylkiv Yu, Savaryn V, and Vlokh R, 2011. Optical anisotropy induced
by torsion stresses in LiNbO3 crystals: appearance of an optical vortex.
J. Opt. Soc. Am. A. 28: 633–640. doi:10.1364/JOSAA.28.000633
PMid:21478960
-
Vasylkiv Yu, Savaryn V, Smaga I, Skab I, and Vlokh R, 2011. On determination
of sign of the piezo-optic coefficients using torsion method. Appl. Opt.
50: 2512–2518. doi:10.1364/AO.50.002512
PMid:21673752
-
Shaskolskaya M P, Acoustic crystals. Moscow: Nauka (1982).
-
Fischer D J, Harkrider C J, and Moore D T, 2000. Design and manufacture
of a gradient-index axicon. Appl. Opt. 39: 2687–2694. doi:10.1364/AO.39.002687PMid:18345190
-
Gonzalez R M, Linares J, and Gomez-Reino C, 1994. Gradient-index axicon
lenses: a quasi-geometrical study. Appl. Opt. 33: 3420–3426. doi:10.1364/AO.33.003420PMid:20885722
-
Marchand E W, 1990. Axicon gradient lenses. Appl. Opt. 29: 4001–4002.
doi:10.1364/AO.29.004001PMid:20577335
-
Berry M V, Jeffrey M R, and Mansuripur M, 2005. Orbital and spin angular
momentum in conical diffraction. J. Opt. A: Pure Appl. Opt. 7: 685–690.
doi:10.1088/1464-4258/7/11/011
-
Vlokh R, Volyar A, Mys O, and Krupych O, 2003. Appearance of optical vortex
at conical refraction. Examples of NaNO2 and YFeO3 crystals. Ukr. J. Phys.
Opt. 4: 90–93. doi:10.3116/16091833/4/2/90/2003
-
Berry M V, 2004. Conical diffraction asymptotics: fine structure of Poggendorff
rings and axial spike. J. Opt. A: Pure Appl. Opt. 6: 289–300. doi:10.1088/1464-4258/6/4/001
-
Slussarenko S, Piccirillo B, Chigrinov V, Marrucci L, and Santamato E,
2013. Liquid-crystal spatial-mode converters for the orbital angular momentum
of light. J. Opt. 15: 025406. doi:10.1088/2040-8978/15/2/025406
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