Abstract

A novel direct-laser writing fabrication process for micro-axicons is demonstrated. A fiber-axicon-generated Bessel beam was utilized to write on UV-curable optical epoxy to form new axicons and axicon arrays, and geometrical parameters of the replicated epoxy axicons were analyzed in terms of both apex angle and proximity of the writing axicons. The shape of the fabricated axicons was demonstrated to be controllable through laser exposure, proximity, and apex angle of the source axicon, and the fabricated axicons are capable of generating a quality Bessel beam with an excellent focusing performance.

© 2014 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]

2012 (1)

2011 (1)

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
[CrossRef] [PubMed]

2010 (2)

Y. L. Zhang, Q. D. Chen, H. Xia, H. B. Sun, “Designable 3D nanofabrication by femtosecond laser direct writing,” Nano Today 5(5), 435–448 (2010).
[CrossRef]

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

2006 (3)

J. M. Ward, D. G. O’Shea, B. J. Shortt, M. J. Morrissey, K. Deasy, S. G. Nic Chormaic, “Heat-and-pull rig for fiber taper fabrication,” Rev. Sci. Instrum. 77(8), 083105 (2006).
[CrossRef]

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

R. Grunwald, U. Neumann, A. Rosenfeld, J. Li, P. R. Herman, “Scalable multichannel micromachining with pseudo-nondiffracting vacuum ultraviolet beam arrays generated by thin-film axicons,” Opt. Lett. 31(11), 1666–1668 (2006).
[CrossRef] [PubMed]

2004 (1)

V. Kebbel, U. Neumann, U. Griebner, M. Piché, “Ultrafast spatiotemporal processing with thin-film micro-optics,” Opt. Eng. 43(11), 2518–2524 (2004).
[CrossRef]

2003 (1)

J.-F. Fortin, G. Rousseau, N. McCarthy, M. Piché, “Generation of quasi- Bessel beams and femtosecond optical X- waves with conical mirrors,” Proc. SPIE 4833, 876–884 (2003).
[CrossRef]

2002 (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[CrossRef] [PubMed]

2001 (1)

A. Marcinkevicius, S. Juodkazis, S. Matsuo, V. Mizeikis, H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40(11A), 1197–1199 (2001).
[CrossRef]

1999 (1)

1997 (2)

J. M. Shaw, J. D. Gelorme, N. C. LaBianca, W. E. Conley, S. J. Holmes, “Negative photoresists for optical lithography,” IBM J. Res. Develop. 41(1.2), 81–94 (1997).
[CrossRef]

M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

1992 (1)

1987 (2)

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Arimoto, R.

Bor, Zs.

M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Cabrini, S.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Candeloro, P.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

Carpentiero, A.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Cavallaro, J. R.

M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Chen, Q. D.

Y. L. Zhang, Q. D. Chen, H. Xia, H. B. Sun, “Designable 3D nanofabrication by femtosecond laser direct writing,” Nano Today 5(5), 435–448 (2010).
[CrossRef]

Chichkov, B. N.

Cojoc, D.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Cojoc, G.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

Conley, W. E.

J. M. Shaw, J. D. Gelorme, N. C. LaBianca, W. E. Conley, S. J. Holmes, “Negative photoresists for optical lithography,” IBM J. Res. Develop. 41(1.2), 81–94 (1997).
[CrossRef]

Coppola, S.

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
[CrossRef] [PubMed]

Das, G.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

De Angelis, F.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Deasy, K.

J. M. Ward, D. G. O’Shea, B. J. Shortt, M. J. Morrissey, K. Deasy, S. G. Nic Chormaic, “Heat-and-pull rig for fiber taper fabrication,” Rev. Sci. Instrum. 77(8), 083105 (2006).
[CrossRef]

Degiorgio, V.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Dholakia, K.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[CrossRef] [PubMed]

Di Fabrizio, E.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Durnin, J.

J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Erdélyi, M.

M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Ferraro, P.

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
[CrossRef] [PubMed]

Finizio, A.

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
[CrossRef] [PubMed]

Fortin, J.-F.

J.-F. Fortin, G. Rousseau, N. McCarthy, M. Piché, “Generation of quasi- Bessel beams and femtosecond optical X- waves with conical mirrors,” Proc. SPIE 4833, 876–884 (2003).
[CrossRef]

Gadonas, R.

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[CrossRef] [PubMed]

Gelorme, J. D.

J. M. Shaw, J. D. Gelorme, N. C. LaBianca, W. E. Conley, S. J. Holmes, “Negative photoresists for optical lithography,” IBM J. Res. Develop. 41(1.2), 81–94 (1997).
[CrossRef]

Gentile, F.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

Griebner, U.

V. Kebbel, U. Neumann, U. Griebner, M. Piché, “Ultrafast spatiotemporal processing with thin-film micro-optics,” Opt. Eng. 43(11), 2518–2524 (2004).
[CrossRef]

Grilli, S.

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
[CrossRef] [PubMed]

Grunwald, R.

Herman, P. R.

Holmes, S. J.

J. M. Shaw, J. D. Gelorme, N. C. LaBianca, W. E. Conley, S. J. Holmes, “Negative photoresists for optical lithography,” IBM J. Res. Develop. 41(1.2), 81–94 (1997).
[CrossRef]

Horvath, Z. L.

M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Juodkazis, S.

A. Marcinkevicius, S. Juodkazis, S. Matsuo, V. Mizeikis, H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40(11A), 1197–1199 (2001).
[CrossRef]

Kawata, S.

Kebbel, V.

V. Kebbel, U. Neumann, U. Griebner, M. Piché, “Ultrafast spatiotemporal processing with thin-film micro-optics,” Opt. Eng. 43(11), 2518–2524 (2004).
[CrossRef]

LaBianca, N. C.

J. M. Shaw, J. D. Gelorme, N. C. LaBianca, W. E. Conley, S. J. Holmes, “Negative photoresists for optical lithography,” IBM J. Res. Develop. 41(1.2), 81–94 (1997).
[CrossRef]

Li, J.

Liberale, C.

C. Liberale, G. Cojoc, P. Candeloro, G. Das, F. Gentile, F. De Angelis, E. Di Fabrizio, “Micro-optics fabrication on top of optical fibers using two-photon lithography,” IEEE Photon. Technol. Lett. 22(7), 474–476 (2010).
[CrossRef]

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Malinauskas, M.

Marcinkevicius, A.

A. Marcinkevicius, S. Juodkazis, S. Matsuo, V. Mizeikis, H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40(11A), 1197–1199 (2001).
[CrossRef]

Matsuo, S.

A. Marcinkevicius, S. Juodkazis, S. Matsuo, V. Mizeikis, H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40(11A), 1197–1199 (2001).
[CrossRef]

McCarthy, N.

J.-F. Fortin, G. Rousseau, N. McCarthy, M. Piché, “Generation of quasi- Bessel beams and femtosecond optical X- waves with conical mirrors,” Proc. SPIE 4833, 876–884 (2003).
[CrossRef]

McGloin, D.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[CrossRef] [PubMed]

Melville, H.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[CrossRef] [PubMed]

Merola, F.

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
[CrossRef] [PubMed]

Miceli, J. J.

J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Misawa, H.

A. Marcinkevicius, S. Juodkazis, S. Matsuo, V. Mizeikis, H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40(11A), 1197–1199 (2001).
[CrossRef]

Mischke, H.

Mizeikis, V.

A. Marcinkevicius, S. Juodkazis, S. Matsuo, V. Mizeikis, H. Misawa, “Application of Bessel beams for microfabrication of dielectrics by femtosecond laser,” Jpn. J. Appl. Phys. 40(11A), 1197–1199 (2001).
[CrossRef]

Mohanty, K. S.

S. K. Mohanty, K. S. Mohanty, “Single fiber optical tweezers for manipulation of microscopic objects,” Proc. SPIE6441, 644116 (2007).

Mohanty, S. K.

S. K. Mohanty, K. S. Mohanty, “Single fiber optical tweezers for manipulation of microscopic objects,” Proc. SPIE6441, 644116 (2007).

Mora, S.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Morrissey, M. J.

J. M. Ward, D. G. O’Shea, B. J. Shortt, M. J. Morrissey, K. Deasy, S. G. Nic Chormaic, “Heat-and-pull rig for fiber taper fabrication,” Rev. Sci. Instrum. 77(8), 083105 (2006).
[CrossRef]

Neumann, U.

Nic Chormaic, S. G.

J. M. Ward, D. G. O’Shea, B. J. Shortt, M. J. Morrissey, K. Deasy, S. G. Nic Chormaic, “Heat-and-pull rig for fiber taper fabrication,” Rev. Sci. Instrum. 77(8), 083105 (2006).
[CrossRef]

O’Shea, D. G.

J. M. Ward, D. G. O’Shea, B. J. Shortt, M. J. Morrissey, K. Deasy, S. G. Nic Chormaic, “Heat-and-pull rig for fiber taper fabrication,” Rev. Sci. Instrum. 77(8), 083105 (2006).
[CrossRef]

Piché, M.

V. Kebbel, U. Neumann, U. Griebner, M. Piché, “Ultrafast spatiotemporal processing with thin-film micro-optics,” Opt. Eng. 43(11), 2518–2524 (2004).
[CrossRef]

J.-F. Fortin, G. Rousseau, N. McCarthy, M. Piché, “Generation of quasi- Bessel beams and femtosecond optical X- waves with conical mirrors,” Proc. SPIE 4833, 876–884 (2003).
[CrossRef]

Prasciolu, M.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolu, S. Mora, V. Degiorgio, F. De Angelis, E. Di Fabrizio, “Axicon lens on optical fiber forming optical tweezers, made by focused ion beam milling,” Microelectron. Eng. 83(4–9), 804–807 (2006).
[CrossRef]

Rehak, W.

Reinhardt, C.

Rosenfeld, A.

Rousseau, G.

J.-F. Fortin, G. Rousseau, N. McCarthy, M. Piché, “Generation of quasi- Bessel beams and femtosecond optical X- waves with conical mirrors,” Proc. SPIE 4833, 876–884 (2003).
[CrossRef]

Saloma, C.

Shaw, J. M.

J. M. Shaw, J. D. Gelorme, N. C. LaBianca, W. E. Conley, S. J. Holmes, “Negative photoresists for optical lithography,” IBM J. Res. Develop. 41(1.2), 81–94 (1997).
[CrossRef]

Shortt, B. J.

J. M. Ward, D. G. O’Shea, B. J. Shortt, M. J. Morrissey, K. Deasy, S. G. Nic Chormaic, “Heat-and-pull rig for fiber taper fabrication,” Rev. Sci. Instrum. 77(8), 083105 (2006).
[CrossRef]

Sibbett, W.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419(6903), 145–147 (2002).
[CrossRef] [PubMed]

Smayling, M. C.

M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Sun, H. B.

Y. L. Zhang, Q. D. Chen, H. Xia, H. B. Sun, “Designable 3D nanofabrication by femtosecond laser direct writing,” Nano Today 5(5), 435–448 (2010).
[CrossRef]

Szabo, G.

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M. Erdélyi, Z. L. Horvath, G. Szabo, Zs. Bor, F. K. Tittel, J. R. Cavallaro, M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Vespini, V.

S. Grilli, S. Coppola, V. Vespini, F. Merola, A. Finizio, P. Ferraro, “3D lithography by rapid curing of the liquid instabilities at nanoscale,” Proc. Natl. Acad. Sci. U.S.A. 108(37), 15106–15111 (2011).
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Appl. Opt. (3)

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Y. L. Zhang, Q. D. Chen, H. Xia, H. B. Sun, “Designable 3D nanofabrication by femtosecond laser direct writing,” Nano Today 5(5), 435–448 (2010).
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Figures (6)

Fig. 1
Fig. 1

(Upper) Schematic of setup for axicon fabrication; (Lower) a. Spin-coating of UV curable epoxy; b. Laser exposure with a Quasi-Bessel beam; c. Removing residual epoxy using an air knife; d. Post-exposure UV curing.

Fig. 2
Fig. 2

(a) Schematic of the fabrication close-up, (b) Microscopic picture of fiber axicon above epoxy layer in primary curing step, (c) Microscopic image of the axicon fabricated by laser direct writing.

Fig. 3
Fig. 3

Apex angle of the fabricated axicon as a function of apex angle of fiber axicon, with calculated result shown in dotted line; inserts (1)-(3) display microscopic images of fabricated axicons by using different fiber cone lenses.

Fig. 4
Fig. 4

The sharpness of the fabricated axicons is plotted as a function of the distance between epoxy and fiber-axicon, with dotted line being the calculated result. Inserts (1)-(3) display axicons obtained when fiber working distance (distance between fiber cone tip and upper surface of epoxy) was at 0.95, 3.20, and 9.30μm, respectively.

Fig. 5
Fig. 5

Solidified volume (left) and apex angle of fabricated axicons (right) as a function of both laser power and exposure time in direct-writing process.

Fig. 6
Fig. 6

(A) Microscopic image of a fabricated axicon array. (B) Microscope image of an axicon printed on end surface of a single mode optical fiber. (C) Numerical simulation of the Bessel beam exiting the axicon along the propagation path. (D) Experimental record of a section of the Bessel beam from a fabricated axicon.

Equations (3)

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I(ρ,z)= I 0 πksin( α 0 ) 2 [ ( F 1 + F 2 ) 2 J 0 2 (kρsin( α 0 ))+ ( F 1 F 2 ) 2 J 1 2 (kρsin( α 0 )) ]
F 1 = ztan α 0 +ρ e [ ztan α 0 +ρ w ] 2 , F 2 =H(ztan α 0 ρ) ztan α 0 ρ e [ ztan α 0 +ρ w ] 2
D=pd tan( aα 2 )[ tan( π 4 aα 4 )+sin( π 4 aα 4 ) ] tan( π 4 aα 4 )sin( π 4 aα 4 ) +c

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