Abstract

Transformation of Bessel beams by biaxial and uniaxial crystals is investigated experimentally and theoretically. Experimental observations show beam symmetry changing and formation of complex intensity patterns, depending on the orientation of the crystal. These patterns can appear as a regular system of peak intensities. Results of numerical calculations support the experimental findings.

© 2010 Optical Society of America

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  8. V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
    [CrossRef] [PubMed]
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    [CrossRef]
  27. Z. Bin and L. Zhu, “Diffraction property of an axicon in oblique illumination,” Appl. Opt. 37, 2563–2568 (1998).
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  28. A. Bendersky, P. Quintian, and M. A. Rebollo, “Modification of the structure of Bessel beams under oblique incidence,” J. Mod. Opt. 55, 2449–2456 (2008).
    [CrossRef]
  29. S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

2010 (1)

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

2009 (2)

S. Hacyan and R. Jáuregui, “Evolution of optical phase and polarization vortices in birefringent media,” J. Opt. A, Pure Appl. Opt. 11, 085204 (2009).
[CrossRef]

M. Anguiano-Morales, “Transformation of Bessel beams by means of a cylindrical lens,” Appl. Opt. 48, 4826–4831 (2009).
[CrossRef] [PubMed]

2008 (3)

2007 (1)

V. V. Filippov, N. V. Kuleshov, and I. T. Bodnar, “Negative thermo-optical coefficients and athermal directions in monoclinic KGd(WO4)2 and KY(WO4)2 laser host crystals in the visible region,” Appl. Phys. B 87, 611–614 (2007).
[CrossRef]

2006 (1)

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

2005 (2)

2004 (3)

S. H. Tao and X. Yuan, “Self-reconstruction property of fractional Bessel beams,” J. Opt. Soc. Am. A 21, 1192–1197 (2004).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

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).
[CrossRef]

2003 (2)

2002 (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

2000 (1)

J. Arlt, T. Hitomi, and K. Dholakia, “Atom guiding along Laguerre–Gaussian and Bessel light beams,” Appl. Phys. B 71, 549–554 (2000).
[CrossRef]

1998 (3)

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, “Stimulated Raman scattering of femtosecond Bessel pulses,” Opt. Commun. 154, 186–190 (1998).
[CrossRef]

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun. 151, 207–211 (1998).
[CrossRef]

Z. Bin and L. Zhu, “Diffraction property of an axicon in oblique illumination,” Appl. Opt. 37, 2563–2568 (1998).
[CrossRef]

1997 (4)

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313–319 (1997).
[CrossRef]

M. K. Pandit and F. P. Payne, “Cerenkov second-harmonic generation by nondiffracting Bessel beams in bulk optical crystals,” Opt. Quantum Electron. 29, 35–51 (1997).
[CrossRef]

K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun. 133, 300–304 (1997).
[CrossRef]

A. P. Piskarskas, V. Smilgevicius, and A. P. Stabinis, “Optical parametric oscillator pumped by a Bessel beam,” Appl. Opt. 36, 7779–7782 (1997).
[CrossRef]

1993 (1)

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).
[CrossRef] [PubMed]

1987 (1)

Anguiano-Morales, M.

Apanasevich, P.

Arlt, J.

J. Arlt, T. Hitomi, and K. Dholakia, “Atom guiding along Laguerre–Gaussian and Bessel light beams,” Appl. Phys. B 71, 549–554 (2000).
[CrossRef]

Baykal, Y.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

Belyi, V.

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

Bendersky, A.

A. Bendersky, P. Quintian, and M. A. Rebollo, “Modification of the structure of Bessel beams under oblique incidence,” J. Mod. Opt. 55, 2449–2456 (2008).
[CrossRef]

Berry, M. V.

M. V. Berry, “The optical singularities of bianisotropic crystals,” Proc. R. Soc. London, Ser. A 461, 2071–2098 (2005).
[CrossRef]

M. V. Berry and M. R. Dennis, “The optical singularities of birefringent dichroic chiral crystals,” Proc. R. Soc. London, Ser. A 459, 1261–1292 (2003).
[CrossRef]

Bin, Z.

Bodnar, I. T.

V. V. Filippov, N. V. Kuleshov, and I. T. Bodnar, “Negative thermo-optical coefficients and athermal directions in monoclinic KGd(WO4)2 and KY(WO4)2 laser host crystals in the visible region,” Appl. Phys. B 87, 611–614 (2007).
[CrossRef]

Bokut, B. V.

A. F. Konstantinova, B. N. Grechushnikov, B. V. Bokut, and E. G. Valyashko, Optical Properties of Crystals (Nauka i Tekhnika, 1995) (in Russian).

Bouchal, Z.

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun. 151, 207–211 (1998).
[CrossRef]

Brown, C. T. A.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

Cai, Y.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

Chlup, M.

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun. 151, 207–211 (1998).
[CrossRef]

Chulkov, R.

Chulkov, R. V.

Çil, C. Z.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

Couairon, A.

Dennis, M. R.

M. V. Berry and M. R. Dennis, “The optical singularities of birefringent dichroic chiral crystals,” Proc. R. Soc. London, Ser. A 459, 1261–1292 (2003).
[CrossRef]

Dholakia, K.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

J. Arlt, T. Hitomi, and K. Dholakia, “Atom guiding along Laguerre–Gaussian and Bessel light beams,” Appl. Phys. B 71, 549–554 (2000).
[CrossRef]

Di Trapani, P.

Dubietis, A.

Durnin, J.

Egorov, Y.

Ersoy, O. K.

O. K. Ersoy, Diffraction, Fourier Optics, and Imaging (Jossey-Bass, 2006).

Eyyuboglu, H. T.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

Faccio, D.

Fadeyeva, T.

Fedorov, F. I.

F. I. Fedorov, Optics of Anisotropic Media (Academy of Sciences of BSSR, 1957) (in Russian).

F. I. Fedorov and V. V. Filippov, Reflection and Refraction of Light by Transparent Crystals (Nauka i Tekhnika, 1976) (in Russian).

Filippov, V. V.

V. V. Filippov, N. V. Kuleshov, and I. T. Bodnar, “Negative thermo-optical coefficients and athermal directions in monoclinic KGd(WO4)2 and KY(WO4)2 laser host crystals in the visible region,” Appl. Phys. B 87, 611–614 (2007).
[CrossRef]

F. I. Fedorov and V. V. Filippov, Reflection and Refraction of Light by Transparent Crystals (Nauka i Tekhnika, 1976) (in Russian).

Fischer, P.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

Grabtchikov, A.

Grabtchikov, A. S.

Grechushnikov, B. N.

A. F. Konstantinova, B. N. Grechushnikov, B. V. Bokut, and E. G. Valyashko, Optical Properties of Crystals (Nauka i Tekhnika, 1995) (in Russian).

Hacyan, S.

S. Hacyan and R. Jáuregui, “Evolution of optical phase and polarization vortices in birefringent media,” J. Opt. A, Pure Appl. Opt. 11, 085204 (2009).
[CrossRef]

Herminghaus, S.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, “Stimulated Raman scattering of femtosecond Bessel pulses,” Opt. Commun. 154, 186–190 (1998).
[CrossRef]

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313–319 (1997).
[CrossRef]

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).
[CrossRef] [PubMed]

Hitomi, T.

J. Arlt, T. Hitomi, and K. Dholakia, “Atom guiding along Laguerre–Gaussian and Bessel light beams,” Appl. Phys. B 71, 549–554 (2000).
[CrossRef]

Jáuregui, R.

S. Hacyan and R. Jáuregui, “Evolution of optical phase and polarization vortices in birefringent media,” J. Opt. A, Pure Appl. Opt. 11, 085204 (2009).
[CrossRef]

Jefimovs, K.

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).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

Kamijoh, T.

K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun. 133, 300–304 (1997).
[CrossRef]

Kazak, N.

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

Khilo, N.

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

Khonina, S. N.

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

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).
[CrossRef]

Kiefer, W.

Klewitz, S.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, “Stimulated Raman scattering of femtosecond Bessel pulses,” Opt. Commun. 154, 186–190 (1998).
[CrossRef]

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313–319 (1997).
[CrossRef]

Konstantinova, A. F.

A. F. Konstantinova, B. N. Grechushnikov, B. V. Bokut, and E. G. Valyashko, Optical Properties of Crystals (Nauka i Tekhnika, 1995) (in Russian).

Korotkova, O.

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

Kotlyar, V. V.

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).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

Kroening, M.

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

Kuleshov, N. V.

V. V. Filippov, N. V. Kuleshov, and I. T. Bodnar, “Negative thermo-optical coefficients and athermal directions in monoclinic KGd(WO4)2 and KY(WO4)2 laser host crystals in the visible region,” Appl. Phys. B 87, 611–614 (2007).
[CrossRef]

Little, H.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

Lopez-Mariscal, C.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

Maksimenko, R.

Mashchenko, A.

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

McGloin, D.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

Melville, H.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

Orlovich, V.

Orlovich, V. A.

Paakkonen, P.

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

Pandit, M. K.

M. K. Pandit and F. P. Payne, “Cerenkov second-harmonic generation by nondiffracting Bessel beams in bulk optical crystals,” Opt. Quantum Electron. 29, 35–51 (1997).
[CrossRef]

Payne, F. P.

M. K. Pandit and F. P. Payne, “Cerenkov second-harmonic generation by nondiffracting Bessel beams in bulk optical crystals,” Opt. Quantum Electron. 29, 35–51 (1997).
[CrossRef]

Piskarskas, A.

Piskarskas, A. P.

Polesana, P.

Porras, M.

Quintian, P.

A. Bendersky, P. Quintian, and M. A. Rebollo, “Modification of the structure of Bessel beams under oblique incidence,” J. Mod. Opt. 55, 2449–2456 (2008).
[CrossRef]

Rebollo, M. A.

A. Bendersky, P. Quintian, and M. A. Rebollo, “Modification of the structure of Bessel beams under oblique incidence,” J. Mod. Opt. 55, 2449–2456 (2008).
[CrossRef]

Ropot, P.

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

Rubass, A.

Sasaki, H.

K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun. 133, 300–304 (1997).
[CrossRef]

Schmitt, M.

Shinozaki, K.

K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun. 133, 300–304 (1997).
[CrossRef]

Sibbett, W.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

Simonen, J.

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).
[CrossRef]

Skidanov, R. V.

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).
[CrossRef]

Smilgevicius, V.

Smith, R. L.

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

Sogomonian, S.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, “Stimulated Raman scattering of femtosecond Bessel pulses,” Opt. Commun. 154, 186–190 (1998).
[CrossRef]

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313–319 (1997).
[CrossRef]

Soifer, V. A.

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).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

Stabinis, A. P.

Swartzlander, J. G.

Tao, S. H.

Turunen, J.

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

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).
[CrossRef]

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A. F. Konstantinova, B. N. Grechushnikov, B. V. Bokut, and E. G. Valyashko, Optical Properties of Crystals (Nauka i Tekhnika, 1995) (in Russian).

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Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun. 151, 207–211 (1998).
[CrossRef]

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M. J. Weber, Handbook of Optical Materials (CRC, 2002).
[CrossRef]

Woerner, M.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, “Stimulated Raman scattering of femtosecond Bessel pulses,” Opt. Commun. 154, 186–190 (1998).
[CrossRef]

Wulle, T.

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).
[CrossRef] [PubMed]

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K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun. 133, 300–304 (1997).
[CrossRef]

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Zhu, L.

Appl. Opt. (3)

Appl. Phys. B (3)

V. V. Filippov, N. V. Kuleshov, and I. T. Bodnar, “Negative thermo-optical coefficients and athermal directions in monoclinic KGd(WO4)2 and KY(WO4)2 laser host crystals in the visible region,” Appl. Phys. B 87, 611–614 (2007).
[CrossRef]

C. Z. Çil, H. T. Eyyuboğlu, Y. Baykal, O. Korotkova, and Y. Cai, “Beam wander of J0- and I0-Bessel Gaussian beams propagating in turbulent atmosphere,” Appl. Phys. B 98, 1–8 (2010).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, “Atom guiding along Laguerre–Gaussian and Bessel light beams,” Appl. Phys. B 71, 549–554 (2000).
[CrossRef]

J. Mod. Opt. (3)

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).
[CrossRef]

A. Bendersky, P. Quintian, and M. A. Rebollo, “Modification of the structure of Bessel beams under oblique incidence,” J. Mod. Opt. 55, 2449–2456 (2008).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, K. Jefimovs, P. Paakkonen, and J. Turunen, “Astigmatic Bessel laser beams,” J. Mod. Opt. 51, 677–686 (2004).

J. Opt. A, Pure Appl. Opt. (2)

P. Fischer, H. Little, R. L. Smith, C. Lopez-Mariscal, C. T. A. Brown, W. Sibbett, and K. Dholakia, “Wavelength dependent propagation and reconstruction of white light Bessel beams,” J. Opt. A, Pure Appl. Opt. 8, 477–482 (2006).
[CrossRef]

S. Hacyan and R. Jáuregui, “Evolution of optical phase and polarization vortices in birefringent media,” J. Opt. A, Pure Appl. Opt. 11, 085204 (2009).
[CrossRef]

J. Opt. Soc. Am. A (3)

Nature (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef] [PubMed]

Opt. Commun. (4)

S. Sogomonian, S. Klewitz, and S. Herminghaus, “Self-reconstruction of a Bessel beam in a nonlinear medium,” Opt. Commun. 139, 313–319 (1997).
[CrossRef]

Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun. 151, 207–211 (1998).
[CrossRef]

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, “Stimulated Raman scattering of femtosecond Bessel pulses,” Opt. Commun. 154, 186–190 (1998).
[CrossRef]

K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, “A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals,” Opt. Commun. 133, 300–304 (1997).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Opt. Quantum Electron. (1)

M. K. Pandit and F. P. Payne, “Cerenkov second-harmonic generation by nondiffracting Bessel beams in bulk optical crystals,” Opt. Quantum Electron. 29, 35–51 (1997).
[CrossRef]

Phys. Rev. Lett. (1)

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).
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M. V. Berry, “The optical singularities of bianisotropic crystals,” Proc. R. Soc. London, Ser. A 461, 2071–2098 (2005).
[CrossRef]

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F. I. Fedorov and V. V. Filippov, Reflection and Refraction of Light by Transparent Crystals (Nauka i Tekhnika, 1976) (in Russian).

A. F. Konstantinova, B. N. Grechushnikov, B. V. Bokut, and E. G. Valyashko, Optical Properties of Crystals (Nauka i Tekhnika, 1995) (in Russian).

O. K. Ersoy, Diffraction, Fourier Optics, and Imaging (Jossey-Bass, 2006).

M. J. Weber, Handbook of Optical Materials (CRC, 2002).
[CrossRef]

V. Belyi, M. Kroening, N. Kazak, N. Khilo, A. Mashchenko, and P. Ropot, Detectors and Associated Signal Processing II (SPIE, 2005), pp. 59640L–59612.

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Figures (8)

Fig. 1
Fig. 1

Experimental setup for observing transformation of Bessel beam transverse intensity distribution: 1. He–Ne laser; 2. telescope; 3. axicon; 4. crystal in a rotary holder; 5. objective; 6. neutral filter; 7. CCD; 8. personal computer.

Fig. 2
Fig. 2

Transformed beam transverse intensity distributions (magnification ratio M = 95 ) after passing through KGW crystal at different rotation angles of a crystal: (a) 0°, (b) 90°.

Fig. 3
Fig. 3

Transformed beam transverse intensity distributions (magnification ratio M = 31 ) after passing through PbWO 4 crystal at different rotation angles of a crystal: (a) 0°, (b) 45°, (c) 90°.

Fig. 4
Fig. 4

Angle variables used in calculations.

Fig. 5
Fig. 5

Example of refractive index distribution pattern for a Bessel beam in KGW crystal: the axis of the incident beam is parallel to N p axis of optical indicatrix.

Fig. 6
Fig. 6

Numerical results for the beam transverse intensity distribution transformed by KGW crystal with N p axis declination by 5 4 angle from the propagation axis in ( N p , N g ) plane: (a) laser polarization parallel to N g axis; (b) laser polarization parallel to N m axis.

Fig. 7
Fig. 7

Numerical results for the beam transverse intensity distribution transformed by PbWO 4 crystal: (a) laser polarization parallel to optical axis; (b) the angle between laser polarization and optical axis is 45°; (c) laser polarization perpendicular to optical axis.

Fig. 8
Fig. 8

Numerical results for beam transverse intensity distribution transformed by KGW (no N p axis declination); laser polarization parallel to (a) N g axis, (b) N m axis.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

c 1 = k 1 u p + k 3 u g ,
c 2 = k 1 u p k 3 u g .
k 1 = ε g ε m ( ε m ε p ) ( ε g ε p ) ,     k 3 = ε p ε m ( ε g ε m ) ( ε g ε p ) .
1 n ± 2 = 1 ε m + 1 2 ( 1 ε p 1 ε g ) ( [ n × c 1 ] [ n × c 2 ] ± [ n × c 1 ] 2 [ n × c 2 ] 2 ) .
h ± = [ n × c 1 ] 2 [ n × c 2 ] ± [ n × c 2 ] 2 [ n × c 1 ] .
φ ± ( θ ) = n ± ( θ ) k 0 l ,
E out ± ( x , y , z ) = z i λ 0 E in ( x , y , 0 ) exp ( i φ ± ) exp ( i k 0 r ) r 2 d x d y ,
E in = E 0   exp [ ( x 2 + y 2 ) R 2 ] exp [ i q x 2 + y 2 ] ,

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