Abstract

Micron-sized white light propagation invariant beams generated by a simple and compact fiber device are presented. The all-fiber device is fabricated by splicing a short piece of large-core multimode fiber onto a small-core single mode white light delivery fiber. Because this fiber device offers an inherent spatial coherence, nondiffracting white light beams can be created with a temporally incoherent broadband light source (a halogen bulb) and, most importantly, the surrounding fringes don’t fade as the bandwidth of the light source increases because the underlying physics of this fiber device is different from that of the axicon. White light Bessel-like beams have been generated from multimode fibers with core diameters of 50 μm, 105 μm, and 200 μm. The distance of nondiffracting propagation of the white light Bessel beam increases with increasing core size of the multimode fiber. Propagation characteristics of red, green, and blue individual beams are also presented.

© 2011 OSA

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2010

2009

J. K. Kim, J. Kim, Y. Jung, W. Ha, Y. S. Jeong, S. Lee, A. Tünnermann, and K. Oh, “Compact all-fiber Bessel beam generator based on hollow optical fiber combined with a hybrid polymer fiber lens,” Opt. Lett. 34(19), 2973–2975 (2009).
[CrossRef] [PubMed]

X. Zhu, A. Schülzgen, L. Li, and N. Peyghambarian, “Generation of controllable nondiffracting beams using multimode optical fibers,” Appl. Phys. Lett. 94(20), 201102 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

2008

2007

2006

J. Leach, G. M. Gibson, M. J. Padgett, E. Esposito, G. McConnell, A. J. Wright, and J. M. Girkin, “Generation of achromatic Bessel beams using a compensated spatial light modulator,” Opt. Express 14(12), 5581–5587 (2006).
[CrossRef] [PubMed]

E. McLeod, A. B. Hopkins, and C. B. Arnold, “Multiscale Bessel beams generated by a tunable acoustic gradient index of refraction lens,” Opt. Lett. 31(21), 3155–3157 (2006).
[CrossRef] [PubMed]

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

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(5), 477–482 (2006).
[CrossRef]

2005

L. Basano and P. Ottonello, “Demonstration experiments on nondiffracting beams generated by thermal light,” Am. J. Phys. 73(9), 826–830 (2005).
[CrossRef]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, “White light propagation invariant beams,” Opt. Express 13(17), 6657–6666 (2005).
[CrossRef] [PubMed]

2004

2003

S. K. Eah, W. Jhe, and Y. Arakawa, “Nearly diffraction-limited focusing of a fiber axicon microlens,” Rev. Sci. Instrum. 74(11), 4969–4971 (2003).
[CrossRef]

2002

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

1997

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

1996

1993

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70(10), 1401–1404 (1993).
[CrossRef] [PubMed]

1989

1987

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

Arakawa, Y.

S. K. Eah, W. Jhe, and Y. Arakawa, “Nearly diffraction-limited focusing of a fiber axicon microlens,” Rev. Sci. Instrum. 74(11), 4969–4971 (2003).
[CrossRef]

Arnold, C. B.

Basano, L.

L. Basano and P. Ottonello, “Demonstration experiments on nondiffracting beams generated by thermal light,” Am. J. Phys. 73(9), 826–830 (2005).
[CrossRef]

Bor, Zs.

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

Borra, E. F.

Bouchal, Z.

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(5), 477–482 (2006).
[CrossRef]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, “White light propagation invariant beams,” Opt. Express 13(17), 6657–6666 (2005).
[CrossRef] [PubMed]

Brunel, M.

Brzobohatý, O.

V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

Cabrini, S.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

Carcole, E.

Carpentiero, A.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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, and M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Charraut, D.

Cizmár, T.

V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

Cižmár, T.

Coetmellec, S.

Cojoc, D.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

Cottrell, D. M.

Davis, J. A.

De Angelis, F.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

Degiorgio, V.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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.

T. Cižmár, V. Kollárová, X. Tsampoula, F. Gunn-Moore, W. Sibbett, Z. Bouchal, and K. Dholakia, “Generation of multiple Bessel beams for a biophotonics workstation,” Opt. Express 16(18), 14024–14035 (2008).
[CrossRef] [PubMed]

V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

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(5), 477–482 (2006).
[CrossRef]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, “White light propagation invariant beams,” Opt. Express 13(17), 6657–6666 (2005).
[CrossRef] [PubMed]

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

Di Fabrizio, E.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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, “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, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987).
[CrossRef] [PubMed]

Eah, S. K.

S. K. Eah, W. Jhe, and Y. Arakawa, “Nearly diffraction-limited focusing of a fiber axicon microlens,” Rev. Sci. Instrum. 74(11), 4969–4971 (2003).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, and 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, and M. C. Smayling, “Generation of diffraction-free beams for application in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997).
[CrossRef]

Esposito, E.

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(5), 477–482 (2006).
[CrossRef]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, “White light propagation invariant beams,” Opt. Express 13(17), 6657–6666 (2005).
[CrossRef] [PubMed]

Fortin, M.

Friberg, A. T.

Garcés-Chávez, V.

V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

Gibson, G. M.

Girkin, J. M.

Grosjean, T.

Gunn-Moore, F.

Ha, W.

Han, L.

Herminghaus, S.

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70(10), 1401–1404 (1993).
[CrossRef] [PubMed]

Hopkins, A. B.

Horvath, Z. L.

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

Ibrahim, I. A.

Ilchenko, V. S.

Indebetouw, G.

Inoue, T.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

Jeong, Y. S.

Jhe, W.

S. K. Eah, W. Jhe, and Y. Arakawa, “Nearly diffraction-limited focusing of a fiber axicon microlens,” Rev. Sci. Instrum. 74(11), 4969–4971 (2003).
[CrossRef]

Jung, Y.

Karásek, V.

V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

Kim, J.

Kim, J. K.

Kizuka, Y.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

Kollárová, V.

Leach, J.

Lee, K. S.

Lee, S.

Li, H.

Li, L.

X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, L. Li, and N. Peyghambarian, “Generation of controllable nondiffracting beams using multimode optical fibers,” Appl. Phys. Lett. 94(20), 201102 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, H. Li, L. Li, L. Han, J. V. Moloney, and N. Peyghambarian, “Detailed investigation of self-imaging in large-core multimode optical fibers for application in fiber lasers and amplifiers,” Opt. Express 16(21), 16632–16645 (2008).
[PubMed]

Liberale, C.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

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(5), 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(5), 477–482 (2006).
[CrossRef]

López-Mariscal, C.

Maleki, L.

Matsko, A. B.

Matsuoka, Y.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

McConnell, G.

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

McLeod, E.

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

Miceli, J. J.

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

Mohageg, M.

Moloney, J. V.

Mora, S.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

Morris, J. E.

Oh, K.

Ottonello, P.

L. Basano and P. Ottonello, “Demonstration experiments on nondiffracting beams generated by thermal light,” Am. J. Phys. 73(9), 826–830 (2005).
[CrossRef]

Padgett, M. J.

Peyghambarian, N.

X. Zhu, A. Schülzgen, H. Li, H. Wei, J. V. Moloney, and N. Peyghambarian, “Coherent beam transformations using multimode waveguides,” Opt. Express 18(7), 7506–7520 (2010).
[CrossRef] [PubMed]

X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, L. Li, and N. Peyghambarian, “Generation of controllable nondiffracting beams using multimode optical fibers,” Appl. Phys. Lett. 94(20), 201102 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, H. Li, L. Li, L. Han, J. V. Moloney, and N. Peyghambarian, “Detailed investigation of self-imaging in large-core multimode optical fibers for application in fiber lasers and amplifiers,” Opt. Express 16(21), 16632–16645 (2008).
[PubMed]

Piché, M.

Piquerey, V.

Prasciolou, M.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

Rolland, J. P.

Saleh, S. S.

Sandoz, P.

Savchenkov, A. A.

Schülzgen, A.

X. Zhu, A. Schülzgen, H. Li, H. Wei, J. V. Moloney, and N. Peyghambarian, “Coherent beam transformations using multimode waveguides,” Opt. Express 18(7), 7506–7520 (2010).
[CrossRef] [PubMed]

X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, L. Li, and N. Peyghambarian, “Generation of controllable nondiffracting beams using multimode optical fibers,” Appl. Phys. Lett. 94(20), 201102 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, H. Li, L. Li, L. Han, J. V. Moloney, and N. Peyghambarian, “Detailed investigation of self-imaging in large-core multimode optical fibers for application in fiber lasers and amplifiers,” Opt. Express 16(21), 16632–16645 (2008).
[PubMed]

Sibbett, W.

T. Cižmár, V. Kollárová, X. Tsampoula, F. Gunn-Moore, W. Sibbett, Z. Bouchal, and K. Dholakia, “Generation of multiple Bessel beams for a biophotonics workstation,” Opt. Express 16(18), 14024–14035 (2008).
[CrossRef] [PubMed]

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(5), 477–482 (2006).
[CrossRef]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, “White light propagation invariant beams,” Opt. Express 13(17), 6657–6666 (2005).
[CrossRef] [PubMed]

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

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

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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(5), 477–482 (2006).
[CrossRef]

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Szabo, G.

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

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X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

Tittel, F. K.

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

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T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70(10), 1401–1404 (1993).
[CrossRef] [PubMed]

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V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

Zhu, X.

X. Zhu, A. Schülzgen, H. Li, H. Wei, J. V. Moloney, and N. Peyghambarian, “Coherent beam transformations using multimode waveguides,” Opt. Express 18(7), 7506–7520 (2010).
[CrossRef] [PubMed]

X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, L. Li, and N. Peyghambarian, “Generation of controllable nondiffracting beams using multimode optical fibers,” Appl. Phys. Lett. 94(20), 201102 (2009).
[CrossRef]

X. Zhu, A. Schülzgen, H. Li, L. Li, L. Han, J. V. Moloney, and N. Peyghambarian, “Detailed investigation of self-imaging in large-core multimode optical fibers for application in fiber lasers and amplifiers,” Opt. Express 16(21), 16632–16645 (2008).
[PubMed]

Am. J. Phys.

L. Basano and P. Ottonello, “Demonstration experiments on nondiffracting beams generated by thermal light,” Am. J. Phys. 73(9), 826–830 (2005).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

X. Zhu, A. Schülzgen, L. Li, and N. Peyghambarian, “Generation of controllable nondiffracting beams using multimode optical fibers,” Appl. Phys. Lett. 94(20), 201102 (2009).
[CrossRef]

Appl. Phys., A Mater. Sci. Process.

Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

X. Zhu, A. Schülzgen, H. Li, L. Li, V. L. Temyanko, J. V. Moloney, and N. Peyghambarian, “High power fiber lasers and amplifiers based on multimode interference,” IEEE J. Sel. Top. Quantum Electron. 15(1), 71–78 (2009).
[CrossRef]

J. Opt. A, Pure Appl. Opt.

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(5), 477–482 (2006).
[CrossRef]

J. Opt. Soc. Am. A

J. Vac. Sci. Technol. B

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

Microelectron. Eng.

S. Cabrini, C. Liberale, D. Cojoc, A. Carpentiero, M. Prasciolou, S. Mora, V. Degiorgio, F. De Angelis, and 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]

Nature

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(6903), 145–147 (2002).
[CrossRef] [PubMed]

Opt. Express

M. Fortin, M. Piché, and E. F. Borra, “Optical tests with Bessel beam interferometry,” Opt. Express 12(24), 5887–5895 (2004).
[CrossRef] [PubMed]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett, and K. Dholakia, “White light propagation invariant beams,” Opt. Express 13(17), 6657–6666 (2005).
[CrossRef] [PubMed]

J. Leach, G. M. Gibson, M. J. Padgett, E. Esposito, G. McConnell, A. J. Wright, and J. M. Girkin, “Generation of achromatic Bessel beams using a compensated spatial light modulator,” Opt. Express 14(12), 5581–5587 (2006).
[CrossRef] [PubMed]

V. S. Ilchenko, M. Mohageg, A. A. Savchenkov, A. B. Matsko, and L. Maleki, “Efficient generation of truncated Bessel beams using cylindrical waveguides,” Opt. Express 15(9), 5866–5871 (2007).
[CrossRef] [PubMed]

T. Cižmár, V. Kollárová, X. Tsampoula, F. Gunn-Moore, W. Sibbett, Z. Bouchal, and K. Dholakia, “Generation of multiple Bessel beams for a biophotonics workstation,” Opt. Express 16(18), 14024–14035 (2008).
[CrossRef] [PubMed]

X. Zhu, A. Schülzgen, H. Li, L. Li, L. Han, J. V. Moloney, and N. Peyghambarian, “Detailed investigation of self-imaging in large-core multimode optical fibers for application in fiber lasers and amplifiers,” Opt. Express 16(21), 16632–16645 (2008).
[PubMed]

X. Zhu, A. Schülzgen, H. Li, H. Wei, J. V. Moloney, and N. Peyghambarian, “Coherent beam transformations using multimode waveguides,” Opt. Express 18(7), 7506–7520 (2010).
[CrossRef] [PubMed]

Opt. Lett.

Phys. Rev. Lett.

V. Karásek, T. Cizmár, O. Brzobohatý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, “Long-range one-dimensional longitudinal optical binding,” Phys. Rev. Lett. 101(14), 143601 (2008).
[CrossRef] [PubMed]

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70(10), 1401–1404 (1993).
[CrossRef] [PubMed]

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[CrossRef]

Other

S. Ramachandran and S. Ghalmi, “‘Diffraction-free,’ self-healing bessel beams from fibers,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies, OSA Technical Digest (CD) (Optical Society of America, 2008), paper CPDB5.

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Figures (8)

Fig. 1
Fig. 1

Spectrum of the white light propagating through a piece of 1.5 meter long single-mode signal delivery fiber.

Fig. 2
Fig. 2

Experimental setup for characterizing white light Bessel beams generated from multimode fibers. 460-HP fiber (core diameter 3 μm, NA 0.13); Multimode fiber (core diameter 50 μm, 105 μm, and 200 μm, NA 0.22); Imaging lens (focal length 8 mm, NA 0.5).

Fig. 3
Fig. 3

Percentage of the power coupled from the fundamental mode of the single mode fiber to the LP0,n modes of the multimode fibers with diameters of 50 μm, 105 μm, and 200 μm for the signal wavelengths of 630 nm, 550 nm, and 480 nm.

Fig. 4
Fig. 4

Facet (a-d) and far-field (e-h) intensity profiles and the propagation characteristics (i-l) of the white Bessel beam and the red (630 nm), green (550 nm), and blue (480 nm) individual beams when a 2 cm long 50 μm multimode fiber is used.

Fig. 5
Fig. 5

Facet (a-d) and far-field (e-h) intensity profiles and the propagation characteristics (i-l) of the white Bessel beam and the red (630 nm), green (550 nm), and blue (480 nm) individual beams when a 10 cm long 50 μm multimode fiber is used.

Fig. 6
Fig. 6

Facet (a-d) and far-field (e-h) intensity profiles and the propagation characteristics (i-l) of the white Bessel beam and the red (630 nm), green (550 nm), and blue (480 nm) individual beams when a 2 cm long 105 μm multimode fiber is used.

Fig. 7
Fig. 7

Facet (a-d) and far-field (e-h) intensity profiles and the propagation characteristics (i-l) of the white Bessel beam and the red (630 nm), green (550 nm), and blue (480 nm) individual beams when a 2 cm long 200 μm multimode fiber is used.

Fig. 8
Fig. 8

Normalized on-axis intensity of the beams coming from the 460-HP single mode fiber (black) and the 2 cm long 50 μm (red), 105 μm (green), and 200 μm (blue) MM fibers.

Equations (4)

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

E λ , O u t ( r , L ) = n = 1 N C λ , n J 0 ( κ λ , n r ) e i β λ , n L , r R ,
C λ , n = S E λ , i n ( r , φ ) × J 0 * ( k λ , n r ) d s S | J 0 ( κ λ , n r ) | 2 d s .
E λ , f s ( r , z ) = n = 1 N C λ , n J 0 ( κ λ , n r ) e i ( β n f z + β n L )
I f s ( r , z ) = λ | E λ , f s ( r , z ) | 2 d λ = λ | n = 1 N C λ , n J 0 ( κ λ , n r ) e i ( β n f z + β n L ) | 2 d λ .

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