Abstract

A quasi-Bessel beam (QBB) is suitable for laser ablation because it possesses a micrometer-sized focal spot and long depth of focus simultaneously. In this paper, the characterizations of QBBs formed by the ideal axicon and oblate-tip axicon are described. Strong on-axis intensity oscillations occur due to interference between the QBB and the refracted beam by the oblate tip. Using the axicon for laser ablation was theoretically investigated. Simple analytical formulas can be used to predict the required laser parameters, including the laser pulse energy, the generated fluence distributions, and the beam diameters.

© 2014 Chinese Laser Press

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2013 (3)

2011 (2)

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

A. Michalowski, C. Freitag, R. Weber, and T. Graf, “Laser surface structuring with long depth of focus,” Proc. SPIE 7920, 79200W (2011).
[CrossRef]

2010 (2)

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Q. Sun, H. Asahi, Y. Nishijima, N. Murazawa, K. Ueno, and H. Misawa, “Pulse duration dependent nonlinear propagation of a focused femtosecond laser pulse in fused silica,” Opt. Express 18, 24495–24503 (2010).
[CrossRef]

2009 (1)

S. Kiyama, S. Matsuo, S. Hashimoto, and Y. Morihira, “Examination of etching agent and etching mechanism on femotosecond laser microfabrication of channels inside vitreous silica substrates,” J. Phys. Chem. C 113, 1156011566 (2009).
[CrossRef]

2008 (5)

R. R. Gattass and E. Mazur, “Femtosecond laser micromachining in transparent materials,” Nat. Photonics 2, 219–225 (2008).
[CrossRef]

M. Ali, T. Wagner, M. Shakoor, and P. A. Molian, “Review of laser nanomachining,” J. Laser Appl. 20, 169–184 (2008).
[CrossRef]

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

D. Wortmann, J. Gottmann, N. Brandt, and H. Horn-Solle, “Micro- and nanostructures inside sapphire by fs-laser irradiation and selective etching,” Opt. Express 16, 1517–1522 (2008).
[CrossRef]

P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16, 15733–15740 (2008).
[CrossRef]

2007 (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

2006 (1)

2004 (2)

2003 (1)

J. Schwarz and J. C. Diels, “UV filaments and their application for laser-induced lightning and high-aspect-ratio hole drilling,” Appl. Phys. A Mater. Sci. Process. 77, 185–191 (2003).
[CrossRef]

2002 (3)

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, “High-resolution optical coherence tomography over a large depth range with an axicon lens,” Opt. Lett. 27, 243–245 (2002).
[CrossRef]

2001 (4)

Y. Li, K. Itoh, W. Watanabe, K. Yamada, D. Kuroda, J. Nishii, and Y. Jiang, “Three-dimensional hole drilling of silica glass from the rear surface with femtosecond laser pulses,” Opt. Lett. 26, 1912–1914 (2001).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197, 239–245 (2001).
[CrossRef]

2000 (1)

V. Jarutis, R. Paškauskas, and A. Stabinis, “Focusing of Laguerre-Gaussian beams by axicon,” Opt. Commun. 184, 105–112 (2000).
[CrossRef]

1997 (1)

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

1989 (1)

1987 (1)

J. Durnin, J. J. Miceli, and J. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

1954 (1)

J. H. McLeod, “The axicon: a new type of optical element,” J. Opt. Soc. Am. A 44, 592–597 (1954).
[CrossRef]

Akturk, S.

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

Ali, M.

M. Ali, T. Wagner, M. Shakoor, and P. A. Molian, “Review of laser nanomachining,” J. Laser Appl. 20, 169–184 (2008).
[CrossRef]

Arlt, J.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197, 239–245 (2001).
[CrossRef]

Arnold, C. B.

Asahi, H.

Ashkenasi, D.

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

Bado, P.

Bellouard, Y.

Bergé, L.

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Betzig, E.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Bhuyan, M. K.

F. Courvoisier, J. Zhang, M. K. Bhuyan, M. Jacquot, and J. M. Dudley, “Applications of femtosecond Bessel beams to laser ablation,” Appl. Phys. A 112, 29–34 (2013).
[CrossRef]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Brandt, N.

Campbell, E. E. B.

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

Chang, C. M.

Chen, W. T.

Chen, Z.

Couairon, A.

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Courvoisier, F.

F. Courvoisier, J. Zhang, M. K. Bhuyan, M. Jacquot, and J. M. Dudley, “Applications of femtosecond Bessel beams to laser ablation,” Appl. Phys. A 112, 29–34 (2013).
[CrossRef]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Davidson, M. W.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Dholakia, K.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197, 239–245 (2001).
[CrossRef]

Di Trapani, P.

Diels, J. C.

J. Schwarz and J. C. Diels, “UV filaments and their application for laser-induced lightning and high-aspect-ratio hole drilling,” Appl. Phys. A Mater. Sci. Process. 77, 185–191 (2003).
[CrossRef]

Ding, Z.

Dudley, J. M.

F. Courvoisier, J. Zhang, M. K. Bhuyan, M. Jacquot, and J. M. Dudley, “Applications of femtosecond Bessel beams to laser ablation,” Appl. Phys. A 112, 29–34 (2013).
[CrossRef]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Dugan, M.

Durnin, J.

J. Durnin, J. J. Miceli, and J. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Eberly, J.

J. Durnin, J. J. Miceli, and J. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Faccio, D.

Fan, P.

Franco, M.

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Freitag, C.

A. Michalowski, C. Freitag, R. Weber, and T. Graf, “Laser surface structuring with long depth of focus,” Proc. SPIE 7920, 79200W (2011).
[CrossRef]

Furfaro, L.

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Galbraith, C. G.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Galbraith, J. A.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Gao, L.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Garces-Chavez, V.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197, 239–245 (2001).
[CrossRef]

Gattass, R. R.

R. R. Gattass and E. Mazur, “Femtosecond laser micromachining in transparent materials,” Nat. Photonics 2, 219–225 (2008).
[CrossRef]

Giridhar, M. S.

Gong, Q.

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Gottmann, J.

Graf, T.

A. Michalowski, C. Freitag, R. Weber, and T. Graf, “Laser surface structuring with long depth of focus,” Proc. SPIE 7920, 79200W (2011).
[CrossRef]

Hashimoto, S.

S. Kiyama, S. Matsuo, S. Hashimoto, and Y. Morihira, “Examination of etching agent and etching mechanism on femotosecond laser microfabrication of channels inside vitreous silica substrates,” J. Phys. Chem. C 113, 1156011566 (2009).
[CrossRef]

Hopkins, A. B.

Horn-Solle, H.

Huang, D. W.

Huang, T.

Huang, Y. W.

Indebetouw, G.

Itoh, K.

Jacquot, M.

F. Courvoisier, J. Zhang, M. K. Bhuyan, M. Jacquot, and J. M. Dudley, “Applications of femtosecond Bessel beams to laser ablation,” Appl. Phys. A 112, 29–34 (2013).
[CrossRef]

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Jarutis, V.

V. Jarutis, R. Paškauskas, and A. Stabinis, “Focusing of Laguerre-Gaussian beams by axicon,” Opt. Commun. 184, 105–112 (2000).
[CrossRef]

Jiang, H.

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Jiang, Y.

Juodkazis, S.

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

Khulbe, P.

Kiyama, S.

S. Kiyama, S. Matsuo, S. Hashimoto, and Y. Morihira, “Examination of etching agent and etching mechanism on femotosecond laser microfabrication of channels inside vitreous silica substrates,” J. Phys. Chem. C 113, 1156011566 (2009).
[CrossRef]

Kolesik, M.

Kuroda, D.

Lacourt, P. A.

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Lamouroux, B.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

Li, C.

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Li, L.

Li, Y.

Liao, C. Y.

Liu, A. Q.

Lu, C. H.

Luo, L.

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Mansuripur, M.

Marcinkevicius, A.

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

Matsudo, S.

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

Matsuo, S.

S. Kiyama, S. Matsuo, S. Hashimoto, and Y. Morihira, “Examination of etching agent and etching mechanism on femotosecond laser microfabrication of channels inside vitreous silica substrates,” J. Phys. Chem. C 113, 1156011566 (2009).
[CrossRef]

Mazur, E.

R. R. Gattass and E. Mazur, “Femtosecond laser micromachining in transparent materials,” Nat. Photonics 2, 219–225 (2008).
[CrossRef]

McLeod, E.

McLeod, J. H.

J. H. McLeod, “The axicon: a new type of optical element,” J. Opt. Soc. Am. A 44, 592–597 (1954).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Michalowski, A.

A. Michalowski, C. Freitag, R. Weber, and T. Graf, “Laser surface structuring with long depth of focus,” Proc. SPIE 7920, 79200W (2011).
[CrossRef]

Milkie, D. E.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Misawa, H.

Q. Sun, H. Asahi, Y. Nishijima, N. Murazawa, K. Ueno, and H. Misawa, “Pulse duration dependent nonlinear propagation of a focused femtosecond laser pulse in fused silica,” Opt. Express 18, 24495–24503 (2010).
[CrossRef]

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

Mizeikis, V.

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

Molian, P. A.

M. Ali, T. Wagner, M. Shakoor, and P. A. Molian, “Review of laser nanomachining,” J. Laser Appl. 20, 169–184 (2008).
[CrossRef]

Moloney, J.

Morihira, Y.

S. Kiyama, S. Matsuo, S. Hashimoto, and Y. Morihira, “Examination of etching agent and etching mechanism on femotosecond laser microfabrication of channels inside vitreous silica substrates,” J. Phys. Chem. C 113, 1156011566 (2009).
[CrossRef]

Murazawa, N.

Mysyrowicz, A.

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Nelson, J. S.

Nishii, J.

Nishijima, Y.

Paškauskas, R.

V. Jarutis, R. Paškauskas, and A. Stabinis, “Focusing of Laguerre-Gaussian beams by axicon,” Opt. Commun. 184, 105–112 (2000).
[CrossRef]

Pasquiou, B.

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

Peyghambarian, N.

Planchon, T.

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Polynkin, P.

Prade, B.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Ren, H.

Roberts, A.

Rosenfeld, A.

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

Said, A.

Salut, R.

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

Schulzgen, A.

Schwarz, J.

J. Schwarz and J. C. Diels, “UV filaments and their application for laser-induced lightning and high-aspect-ratio hole drilling,” Appl. Phys. A Mater. Sci. Process. 77, 185–191 (2003).
[CrossRef]

Seong, K.

Shakoor, M.

M. Ali, T. Wagner, M. Shakoor, and P. A. Molian, “Review of laser nanomachining,” J. Laser Appl. 20, 169–184 (2008).
[CrossRef]

Sibbett, W.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197, 239–245 (2001).
[CrossRef]

Stabinis, A.

V. Jarutis, R. Paškauskas, and A. Stabinis, “Focusing of Laguerre-Gaussian beams by axicon,” Opt. Commun. 184, 105–112 (2000).
[CrossRef]

Sudrie, L.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Sun, Q.

Sun, S.

Tsai, D. P.

Tseng, M. L.

Tzortzakis, S.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

Ueno, K.

Varel, H.

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

Wagner, T.

M. Ali, T. Wagner, M. Shakoor, and P. A. Molian, “Review of laser nanomachining,” J. Laser Appl. 20, 169–184 (2008).
[CrossRef]

Wahmer, M.

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

Wang, D.

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Watanabe, W.

Weber, R.

A. Michalowski, C. Freitag, R. Weber, and T. Graf, “Laser surface structuring with long depth of focus,” Proc. SPIE 7920, 79200W (2011).
[CrossRef]

Wortmann, D.

Wu, P. C.

Yamada, K.

Yang, H.

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

Zhang, H.

Zhang, J.

F. Courvoisier, J. Zhang, M. K. Bhuyan, M. Jacquot, and J. M. Dudley, “Applications of femtosecond Bessel beams to laser ablation,” Appl. Phys. A 112, 29–34 (2013).
[CrossRef]

Zhao, Y.

Zhong, M.

Zhou, B.

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

Zhou, L.

Appl. Opt. (1)

Appl. Phys. A (1)

F. Courvoisier, J. Zhang, M. K. Bhuyan, M. Jacquot, and J. M. Dudley, “Applications of femtosecond Bessel beams to laser ablation,” Appl. Phys. A 112, 29–34 (2013).
[CrossRef]

Appl. Phys. A Mater. Sci. Process. (2)

H. Varel, D. Ashkenasi, A. Rosenfeld, M. Wahmer, and E. E. B. Campbell, “Micromachining of quartz with ultrashort laser pulses,” Appl. Phys. A Mater. Sci. Process. 65, 367–373 (1997).
[CrossRef]

J. Schwarz and J. C. Diels, “UV filaments and their application for laser-induced lightning and high-aspect-ratio hole drilling,” Appl. Phys. A Mater. Sci. Process. 77, 185–191 (2003).
[CrossRef]

Appl. Phys. Lett. (1)

M. K. Bhuyan, F. Courvoisier, P. A. Lacourt, M. Jacquot, R. Salut, L. Furfaro, and J. M. Dudley, “High aspect ratio nanochannel machining using single shot femtosecond Bessel beams,” Appl. Phys. Lett. 97, 081102 (2010).
[CrossRef]

J. Laser Appl. (1)

M. Ali, T. Wagner, M. Shakoor, and P. A. Molian, “Review of laser nanomachining,” J. Laser Appl. 20, 169–184 (2008).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

L. Luo, D. Wang, C. Li, H. Jiang, H. Yang, and Q. Gong, “Formation of diversiform microstructures in wide-bandgap materials by tight-focusing femtosecond laser pulses,” J. Opt. A, Pure Appl. Opt. 4, 105–110 (2002).
[CrossRef]

J. Opt. Soc. Am. A (2)

J. H. McLeod, “The axicon: a new type of optical element,” J. Opt. Soc. Am. A 44, 592–597 (1954).
[CrossRef]

G. Indebetouw, “Nondiffracting optical fields: some remarks on their analysis and synthesis,” J. Opt. Soc. Am. A 6, 150–152 (1989).
[CrossRef]

J. Phys. Chem. C (1)

S. Kiyama, S. Matsuo, S. Hashimoto, and Y. Morihira, “Examination of etching agent and etching mechanism on femotosecond laser microfabrication of channels inside vitreous silica substrates,” J. Phys. Chem. C 113, 1156011566 (2009).
[CrossRef]

Jpn. J. Appl. Phys. (1)

A. Marcinkevicius, S. Juodkazis, S. Matsudo, V. Mizeikis, and H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40, L1197 (2001).
[CrossRef]

Nat. Methods (1)

T. Planchon, L. Gao, D. E. Milkie, M. W. Davidson, J. A. Galbraith, C. G. Galbraith, and E. Betzig, “Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination,” Nat. Methods 8, 417–423 (2011).
[CrossRef]

Nat. Photonics (1)

R. R. Gattass and E. Mazur, “Femtosecond laser micromachining in transparent materials,” Nat. Photonics 2, 219–225 (2008).
[CrossRef]

Opt. Commun. (3)

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197, 239–245 (2001).
[CrossRef]

S. Akturk, B. Zhou, B. Pasquiou, M. Franco, and A. Mysyrowicz, “Intensity distribution around the focal regions of real axicons,” Opt. Commun. 281, 4240–4244 (2008).
[CrossRef]

V. Jarutis, R. Paškauskas, and A. Stabinis, “Focusing of Laguerre-Gaussian beams by axicon,” Opt. Commun. 184, 105–112 (2000).
[CrossRef]

Opt. Express (6)

Opt. Lett. (3)

Phys. Rep. (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[CrossRef]

Phys. Rev. Lett. (3)

S. Tzortzakis, L. Sudrie, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, and L. Bergé, “Self-guided propagation of ultrashort IR laser pulses in fused silica,” Phys. Rev. Lett. 87, 213902 (2001).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89, 186601 (2002).
[CrossRef]

J. Durnin, J. J. Miceli, and J. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Proc. SPIE (1)

A. Michalowski, C. Freitag, R. Weber, and T. Graf, “Laser surface structuring with long depth of focus,” Proc. SPIE 7920, 79200W (2011).
[CrossRef]

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Figures (6)

Fig. 1.
Fig. 1.

Schematic of QBB generation with an axicon.

Fig. 2.
Fig. 2.

Calculated intensity profiles for an ideal axicon illuminated by a Gaussian beam. The inset shows the on-axis intensity along the propagation. Parameters for the calculated are w=2mm, α=5°, n=1.5, and λ=1064nm.

Fig. 3.
Fig. 3.

Calculated fluence distribution for typical wavelengths for (a) α=5° and (b) α=10° at the distance zmax/2. The incident beam radius, pulse energy, and refractive index are w=2mm, Q=100μJ, and n=1.5, respectively.

Fig. 4.
Fig. 4.

Beam diameter versus axicon base angle for typical wavelengths.

Fig. 5.
Fig. 5.

Comparison of the oblate-tip axicon profile with the ideal axicon.

Fig. 6.
Fig. 6.

Comparison of the peak fluence for the ideal axicon (solid line) with the peak fluence for the oblate-tip axicon (dashed line) for input beam radii of (a) 2 mm and (b) 4 mm. Parameters for the calculated are α=5.6°, n=1.5, Q=1mJ, and λ=1064nm.

Equations (15)

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

I(ρ,w)=I0πβw2{[(F1(ρ/w)+F2(ρ/w))J0(ρβ)]2+[(F1(ρ/w)F2(ρ/w))J1(ρβ)]2},
F1(ρ/w)=(z0+ρ/w)1/2exp[(z0+ρ/w)2],
F2(ρ/w)=(z0ρ/w)1/2exp[(z0ρ/w)2]H(z0ρ/w),
H=1forz0ρ/w,
H=0forz0<ρ/w.
F(ρ)=εI(ρ).
2π0ρF(ρ)dρ=2πε0ρI(ρ)dρ=Q,
F(ρ,w)=Qβw{[(F1(ρ/w)+F2(ρ/w))J0(ρβ)]2+[(F1(ρ/w)F2(ρ/w))J1(ρβ)]2}.
Fpeak(z)=4Qβz0wexp(2z02).
z=zmax2=w2(n1)α.
D1.2λπ(n1)α.
E(ρ,z)=2πiλexp(2πziλ)×0E(r0,0)zexp((ρ2+r02)πiλz)J0(2πρr0λz)r0dr0,
E(r0,0)=E0exp((r0w)2iφ(r0)).
φ(r0)=2π(n1)λd(r0),
d(r0)={0.083r02+0.023r03,0r01mm0.0380.098r0,r0>1mm.

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