Abstract

We investigate the impact of cascaded third harmonic generation and the intrinsic n4 material nonlinearity on the propagation of ultrashort pulses in noble-gas filled Kagome fibers. We show that the pressure tunability of the cascade allows for the implementation of temporal switching. We also investigate the relative strengths of both effects and show their ratio to be pressure tunable.

© 2012 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2012

2011

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

F. Setzpfandt, A. A. Sukhorukov, and T. Pertsch, Phys. Rev. A 84, 053843 (2011).
[CrossRef]

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

2010

2009

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

2008

2007

2006

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

J. Moses and F. W. Wise, Phys. Rev. Lett. 97, 073903(2006).
[CrossRef]

2003

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

2002

A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
[CrossRef]

1997

1996

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

1992

1985

H. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

1967

L. A. Ostrovskii, JETP 5, 272 (1967).

Agrawal, G.

G. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

Bache, M.

Bang, O.

Bjot, P.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Boardman, A. D.

Börzsönyi, A.

Bree, C.

C. Bree, A. Demircan, and G. Steinmeyer, IEEE J. Quantum Electron. 46, 433 (2010).
[CrossRef]

Brée, C.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Buryak, A. V.

A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
[CrossRef]

R. A. Sammut, A. V. Buryak, and Y. S. Kivshar, Opt. Lett. 22, 1385 (1997).
[CrossRef]

Coen, S.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Corcoran, B.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Demircan, A.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

C. Bree, A. Demircan, and G. Steinmeyer, IEEE J. Quantum Electron. 46, 433 (2010).
[CrossRef]

DeSalvo, R.

Dudley, J. M.

G. Genty, B. Kibler, P. Kinsler, and J. M. Dudley, Opt. Express 16, 10886 (2008).
[CrossRef]

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Eggleton, B.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Eilenberger, F.

Ettoumi, W.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Faucher, O.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Genty, G.

G. Genty, B. Kibler, P. Kinsler, and J. M. Dudley, Opt. Express 16, 10886 (2008).
[CrossRef]

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Grillet, C.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Hagan, D. J.

Heiner, Z.

Henin, S.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Hertz, E.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Hölzer, P.

Joly, N. Y.

Kalashnikov, M. P.

Kasparian, J.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Kibler, B.

Kinsler, P.

Kivshar, Y. S.

Kovács, A. P.

Krauss, T.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Krolikowski, W.

Królikowski, W. Z.

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Lavorel, B.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Lehmeier, H.

H. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Leupacher, W.

H. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Loriot, V.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Minardi, S.

Monat, C.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Moses, J.

Moss, D.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Nazarkin, A.

Neshev, D.

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Nikolov, N. I.

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Nold, J.

OFaolain, L.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Ostrovskii, L. A.

L. A. Ostrovskii, JETP 5, 272 (1967).

Osvay, K.

Penzkofer, A.

H. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Pertsch, T.

F. Setzpfandt, A. A. Sukhorukov, and T. Pertsch, Phys. Rev. A 84, 053843 (2011).
[CrossRef]

Petit, Y.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Podlipensky, A.

Russell, P. S.

Saltiel, S.

Sammut, R. A.

Scharrer, M.

Setzpfandt, F.

F. Setzpfandt, A. A. Sukhorukov, and T. Pertsch, Phys. Rev. A 84, 053843 (2011).
[CrossRef]

Sheik-Bahae, M.

Skryabin, D. V.

A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
[CrossRef]

Stegeman, G.

Stegeman, G. I.

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Steinmeyer, G.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

C. Bree, A. Demircan, and G. Steinmeyer, IEEE J. Quantum Electron. 46, 433 (2010).
[CrossRef]

Stryland, E. W. V.

Sukhorukov, A. A.

F. Setzpfandt, A. A. Sukhorukov, and T. Pertsch, Phys. Rev. A 84, 053843 (2011).
[CrossRef]

Tanev, S.

Torner, L.

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Trapani, P. D.

A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
[CrossRef]

Trillo, S.

A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
[CrossRef]

Vanherzeele, H.

White, T.

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Wise, F. W.

Wolf, J.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Wong, G. K. L.

Appl. Opt.

IEEE J. Quantum Electron.

C. Bree, A. Demircan, and G. Steinmeyer, IEEE J. Quantum Electron. 46, 433 (2010).
[CrossRef]

JETP

L. A. Ostrovskii, JETP 5, 272 (1967).

Laser Phys.

V. Loriot, P. Bjot, W. Ettoumi, Y. Petit, J. Kasparian, S. Henin, E. Hertz, B. Lavorel, O. Faucher, and J. Wolf, Laser Phys. 21, 1319 (2011).
[CrossRef]

Nat. Photonics

B. Corcoran, C. Monat, C. Grillet, D. Moss, B. Eggleton, T. White, L. OFaolain, and T. Krauss, Nat. Photonics 3, 206 (2009).
[CrossRef]

Opt. Commun.

H. Lehmeier, W. Leupacher, and A. Penzkofer, Opt. Commun. 56, 67 (1985).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Quantum Electron.

G. I. Stegeman, D. J. Hagan, and L. Torner, Opt. Quantum Electron. 28, 1691 (1996).
[CrossRef]

Phys. Rep.

A. V. Buryak, P. D. Trapani, D. V. Skryabin, and S. Trillo, Phys. Rep. 370, 63 (2002).
[CrossRef]

Phys. Rev. A

F. Setzpfandt, A. A. Sukhorukov, and T. Pertsch, Phys. Rev. A 84, 053843 (2011).
[CrossRef]

Phys. Rev. E

N. I. Nikolov, D. Neshev, O. Bang, and W. Z. Królikowski, Phys. Rev. E 68, 036614 (2003).
[CrossRef]

Phys. Rev. Lett.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

J. Moses and F. W. Wise, Phys. Rev. Lett. 97, 073903(2006).
[CrossRef]

Rev. Mod. Phys.

J. M. Dudley, G. Genty, and S. Coen, Rev. Mod. Phys. 78, 1135 (2006).
[CrossRef]

Other

G. Agrawal, Nonlinear Fiber Optics (Academic, 2001).

Supplementary Material (2)

» Media 1: MOV (514 KB)     
» Media 2: MOV (614 KB)     

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Figures (3)

Fig. 1.
Fig. 1.

The TH cascade. (a) Three FW photons generate a TH photon. It mixes with two more FW photons into a phase shifted FW photon. (b) If the intermediate step is mismatched the process acts like a quintic nonlinearity.

Fig. 2.
Fig. 2.

Dispersion properties of TH modes for a Kagome fiber with FW at 1550 nm. (a) Phase Δβ0(l) mismatch. (b) Group velocity mismatch Δβ1(l). (c) Relative impact (blue) of the cascade and the n4 nonlinearity on the FW evolution for an N=3 soliton with a dispersion length LD=0.25m and corresponding peak power (red). Black lines denote phase or group velocity matching pressures.

Fig. 3.
Fig. 3.

Pulse shape of the FW after the fiber. (a, top) |A(t)|2 if material n4 and SS is neglected. The dotted line denotes the symmetry flip pressure pGVA. Media 1 displays the pulse evolution. (a, bottom) Re[R(ω)] for pressures close to pGVA (b) |A(t)|2, if n4 nonlinearity and SS are considered, too. Media 2 displays the pulse evolution.

Equations (5)

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

(izβ222τ2+iαA)A+[1iω01τ](ΓA|A|2+Γ~A|A|4)A+[1+iω01τ]A*2lΓB(l)B(l)eiΔβ0(l)z=0,
(iziΔβ1(l)τβ2(l)22τ2+iαB(l))B(l)+[1+3iω01τ]ΓB(l)A3eiΔβ0(l)z=0.
ϕ(l)(ω)=ΓB(l)iα(l)Δβ0(l)+Δβ1(l)ω12β2(l)ω2F[A3(z,t)].
lΓB(l)B(l)eiΔβ0(l)z=R(τ)A3(z,tτ)dτ,
R(ω)=lΓB(l)2iα(l)Δβ0(l)+Δβ1(l)ω12β2(l)ω2.

Metrics