Abstract

We demonstrate an intermodal Čerenkov radiation effect in a higher-order-mode (HOM) fiber with a mode crossing (i.e., two guided modes having the same propagation constant at the same wavelength). A frequency-shifted soliton in the vicinity of the mode-crossing wavelength emits a phase-matched dispersive wave in a different propagation mode. We develop a theoretical explanation for this nonlinear optical effect and demonstrate that the mode crossing in HOM fibers can be utilized to achieve simultaneous wavelength and mode conversion; the strength of this intermodal nonlinear interaction can be tuned by controlled fiber bending.

© 2012 Optical Society of America

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2012 (2)

2011 (3)

2010 (1)

2009 (1)

2008 (1)

2007 (4)

2006 (1)

2005 (1)

A. Efimov and A. J. Taylor, Appl. Phys. B 80, 721 (2005).
[CrossRef]

2004 (1)

2003 (3)

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

A. Efimov, A. J. Taylor, F. Omenetto, J. Knight, W. Wadsworth, and P. S. J. Russell, Opt. Express 11, 910 (2003).
[CrossRef]

2001 (1)

1995 (1)

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

1990 (1)

1983 (1)

1975 (1)

1974 (1)

R. H. Stolen, Appl. Phys. Lett. 24, 308 (1974).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007), Chaps. 10, 12.

Akhmediev, N.

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

Arriaga, J.

Astruc, M.

Bai, N.

Bao, Z.

Barthelemy, A.

Belardi, W.

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Bickham, S.

Bigo, S.

Blandin, P.

Bolle, C. A.

Boutin, A.

Brindel, P.

Carbone, F.

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Cerou, F.

Charan, K.

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

Charlet, G.

Cheng, J.

J. Cheng, M. E. V. Pedersen, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, Opt. Lett. 37, 347 (2012).
[CrossRef]

J. Cheng, J. H. Lee, K. Wang, C. Xu, K. G. Jespersen, M. Garmund, L. Grüner-Nielsen, and D. Jakobsen, Opt. Express 19, 8774 (2011).
[CrossRef]

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

Chung, K. M.

Couderc, V.

Cristiani, I.

I. Cristiani, R. Tediosi, L. Tartara, and V. Degiorgio, Opt. Express 12, 124 (2004).
[CrossRef]

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Degiorgio, V.

I. Cristiani, R. Tediosi, L. Tartara, and V. Degiorgio, Opt. Express 12, 124 (2004).
[CrossRef]

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Dimarcello, F. V.

Druon, F.

Efimov, A.

Faccio, D.

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Feder, K.

Fini, J. M.

Garmund, M.

Georges, P.

Ghalmi, S.

Gnauck, A. H.

Goure, J.-P.

Grüner-Nielsen, L.

J. Cheng, M. E. V. Pedersen, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, Opt. Lett. 37, 347 (2012).
[CrossRef]

J. Cheng, J. H. Lee, K. Wang, C. Xu, K. G. Jespersen, M. Garmund, L. Grüner-Nielsen, and D. Jakobsen, Opt. Express 19, 8774 (2011).
[CrossRef]

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

Hanna, M.

Headley, C.

Horak, P.

Huang, M. F.

Huang, Y. K.

Huang, Y.-K.

Ip, E.

Jakobsen, D.

J. Cheng, M. E. V. Pedersen, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, Opt. Lett. 37, 347 (2012).
[CrossRef]

J. Cheng, J. H. Lee, K. Wang, C. Xu, K. G. Jespersen, M. Garmund, L. Grüner-Nielsen, and D. Jakobsen, Opt. Express 19, 8774 (2011).
[CrossRef]

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

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Karlsson, M.

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
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Knight, J.

Knight, J. C.

Koebele, C.

Lacroix, S.

Lau, A. P. T.

Lee, J. H.

Leproux, P.

Lesvigne, C.

Li, G.

Li, M.-J.

Liñares, J.

Lingle, R.

Lu, C.

Luan, F.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Luo, Y.

Mardoyan, H.

Mateo, E.

McCurdy, A.

Miyagi, M.

Monberg, E.

Montero, C.

Moores, M. D.

Moreno, V.

Nicholson, J. W.

Olshansky, R.

Omenetto, F.

Omenetto, F. G.

Peckham, D. W.

Pedersen, M.

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

Pedersen, M. E. V.

Peng, G.-D.

Poletti, F.

Prieto, X.

Provost, L.

Ramachandran, S.

Randel, S.

Romagnoli, M.

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Russell, P. S. J.

Ryf, R.

Salsi, M.

Sierra, A.

Sillard, P.

Skryabin, D. V.

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Sperti, D.

Stolen, R. H.

R. H. Stolen, Appl. Phys. Lett. 24, 308 (1974).
[CrossRef]

Tam, H.-Y.

Tartara, L.

I. Cristiani, R. Tediosi, L. Tartara, and V. Degiorgio, Opt. Express 12, 124 (2004).
[CrossRef]

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Taylor, A. J.

Tediosi, R.

Ten, S.

Tonello, A.

Tran, P.

Tse, V.

van Howe, J.

Verluise, F.

Verrier, I.

Wadsworth, W.

Wadsworth, W. J.

Wang, K.

J. Cheng, M. E. V. Pedersen, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, Opt. Lett. 37, 347 (2012).
[CrossRef]

J. Cheng, J. H. Lee, K. Wang, C. Xu, K. G. Jespersen, M. Garmund, L. Grüner-Nielsen, and D. Jakobsen, Opt. Express 19, 8774 (2011).
[CrossRef]

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

Wang, T.

Westbrook, P. S.

Winzer, P. J.

Wise, F.

Wisk, P.

Xu, C.

Yablon, A. D.

Yaman, F.

Yan, M. F.

Zhou, S.

Zhu, B.

Appl. Opt. (2)

Appl. Phys. B (1)

A. Efimov and A. J. Taylor, Appl. Phys. B 80, 721 (2005).
[CrossRef]

Appl. Phys. Lett. (1)

R. H. Stolen, Appl. Phys. Lett. 24, 308 (1974).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

L. Tartara, I. Cristiani, V. Degiorgio, F. Carbone, D. Faccio, M. Romagnoli, and W. Belardi, Opt. Commun. 215, 191 (2003).
[CrossRef]

Opt. Express (8)

Opt. Lett. (8)

Phys. Rev. A (1)

N. Akhmediev and M. Karlsson, Phys. Rev. A 51, 2602 (1995).
[CrossRef]

Science (1)

D. V. Skryabin, F. Luan, J. C. Knight, and P. S. J. Russell, Science 301, 1705 (2003).
[CrossRef]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007), Chaps. 10, 12.

M. Pedersen, J. Cheng, K. Charan, K. Wang, C. Xu, L. Grüner-Nielsen, and D. Jakobsen, in CLEO: Science and Innovations, OSA Technical Digest (online) (Optical Society of America, 2012), paper CTh4G.2.

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Figures (3)

Fig. 1.
Fig. 1.

Theory for intermodal CR in HOM fiber. (a) Phase-matching condition between CR in the LP 11 mode at ω c and the pump soliton in the LP 02 mode at ω p , from Eq. (4). Schematic drawings of the propagation constants of the LP 02 and LP 11 modes in our HOM fiber are shown in the vicinity of the mode-crossing frequency ω x . (b) Effective refractive index of the LP 02 and LP 11 modes in our fiber; λ x is the mode-crossing wavelength. (c) Dispersion curves of the LP 02 and LP 11 modes in our HOM fiber.

Fig. 2.
Fig. 2.

Intermodal CR with different bending radii: measured spectra for soliton shift and CR at different pulse energies in (a) a straight fiber, (b) a fiber coiled with radius 14 cm, and (c) a fiber coiled with radius 5.5 cm. CR is labeled at input energy of 18 nJ. Vertical axes are in logarithmic scale.

Fig. 3.
Fig. 3.

Measured spatial, spectral, and temporal profiles of the CR. (a) Output spectrum at 21 nJ input pulse energy. Insets show the spatial profiles of the soliton and CR. (b) Second-order intensity autocorrelation trace of the CR.

Equations (5)

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d A c , 11 d z = i n 2 ω c c { ( f 11 | A c , 11 | 2 + 2 f 12 | A p , 02 | 2 ) A c , 11 + 2 f 1112 A p , 02 A p , 02 * exp [ i ( φ p , 02 φ c , 11 ) ] } ,
f 1112 = F 11 * F 02 * F 02 F 02 ( | F 02 | 2 | F 02 | 2 | F 02 | 2 | F 11 | 2 ) 1 / 2 .
φ p , 02 ( ω p ) = β p , 02 ( ω p ) z ω p z v g ( ω p ) + 1 2 γ P z ,
φ c , 11 ( ω c ) = β c , 11 ( ω c ) z ω c z v g ( ω p ) ,
β c , 11 ( ω c ) = β p , 02 ( ω p ) + d β p , 02 d ω | ω p ( ω c ω p ) .

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