Abstract

A new scheme for supercontinuum generation covering more than one octave and exhibiting extraordinary high coherence properties has recently been proposed [Phys. Rev. Lett. 110, 233901 (2013)]. The scheme is based on two-pulse collision at a group velocity horizon between a dispersive wave and a soliton. Here we demonstrate that the same scheme can be exploited for the generation of supercontinua encompassing the entire transparency region of fused silica, ranging from 300 to 2300nm. At this bandwidth extension, the Raman effect becomes detrimental, yet may be compensated by using a cascaded collision process. Consequently, the high degree of coherence does not degrade even in this extreme scenario.

© 2014 Optical Society of America

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2013 (6)

U. Møller, O. Bang, “Intensity noise in normal-pumped picoseconds supercontinuum generation, where higher-order Raman lines cross into the anomalous dispersion regime,” Electron. Lett. 49, 63–64 (2013).
[CrossRef]

A. Demircan, S. Amiranashvili, C. Brée, G. Steinmeyer, “Compressible octave spanning supercontinuum generation by two-pulse collisions,” Phys. Rev. Lett. 110, 233901 (2013).
[CrossRef]

M. Wimmer, A. Regensburger, C. Bersch, M.-A. Miri, S. Batz, G. Onishchukov, D. N. Christodoulides, U. Peschel, “Optical diametric drive acceleration through action-reaction symmetry breaking,” Nat. Phys. 9, 780–784 (2013).
[CrossRef]

S. Batz, U. Peschel, “Diametrically driven self-accelerating pulses in a photonic crystal fiber,” Phys. Rev. Lett. 110, 193901 (2013).
[CrossRef] [PubMed]

A. V. Yulin, R. Driben, B. A. Malomed, D. V. Skryabin, “Soliton interaction mediated by cascaded four wave mixing with dispersive waves,” Opt. Express 21, 14481–14486 (2013).
[CrossRef]

R. Driben, A. V. Yulin, A. Efimov, B. A. Malomed, “Trapping of light in solitonic cavities and its role in the supercontinuum generation,” Opt. Express 21, 19091–19096 (2013).
[CrossRef] [PubMed]

2012 (6)

L. Tartara, “Frequency shifting of femtosecond pulses by reflection at solitons,” IEEE J. Quantum Electron. 12, 1439–1442 (2012).
[CrossRef]

N. Rozanov, “Subluminal and superluminal parametric doppler effects in the case of light reflection from a moving smooth medium inhomogeneity,” JETP 115, 1063–7761 (2012).
[CrossRef]

E. Rubino, A. Lotti, F. Belgiorno, S. L. Cacciatori, A. Couairon, U. Leonhardt, D. Faccio, “Soliton-induced relativistic-scattering and amplification,” Sci. Rep. 2, 932 (2012).
[CrossRef] [PubMed]

U. Møller, S. T. Sorensen, C. Jacobsen, J. Johansen, P. M. Moselund, C. L. Thomsen, O. Bang, “Power dependence of supercontinuum noise in uniform and tapered PCFs,” Opt. Express 20, 2851–2857 (2012).
[CrossRef] [PubMed]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[CrossRef] [PubMed]

D. Faccio, “Laser pulse analogues of gravity and analogue Hawking radiation,” Cont. Phys. 1, 97–112 (2012).
[CrossRef]

2011 (4)

A. Demircan, S. Amiranashvili, G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106, 163901 (2011).
[CrossRef] [PubMed]

M. F. Saleh, W. Chang, P. Hölzer, A. Nazarkin, J. C. Travers, N. Y. Joly, P. St. J. Russell, F. Biancalana, “Theory of photoionization-induced blueshift of ultrashort solitons in gas-filled hollow-core photonic crystal fibers,” Phys. Rev. Lett. 107, 203902 (2011).
[CrossRef] [PubMed]

S. Amiranashvili, A. Demircan, “Ultrashort optical pulse propagation in terms of analytic signal,” Adv. Opt. Technol. 2011, 989515 (2011).
[CrossRef]

G. Genty, M. Surakka, J. Turunen, A. T. Friberg, “Complete characterization of supercontinuum coherence,” J. Opt. Soc. Am. B 28, 2301–2309 (2011).
[CrossRef]

2010 (6)

S. Robertson, U. Leonhardt, “Frequency shifting at fiber-optical event horizons: The effect of Raman deceleration,” Phys. Rev. A 81, 063835 (2010).
[CrossRef]

S. Amiranashvili, A. Demircan, “Hamiltonian structure of propagation equations for ultrashort optical pulses,” Phys. Rev. A 82, 013812 (2010).
[CrossRef]

V. E. Lobanov, A. P. Sukhorukov, “Total reflection, frequency, and velocity tuning in optical pulse collision in nonlinear dispersive media,” Phys. Rev. A 82, 033809 (2010).
[CrossRef]

F. Belgiorno, S. L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V. G. Sala, D. Faccio, “Hawking radiation from ultrashort laser pulse filaments,” Phys. Rev. Lett. 105, 203901 (2010).
[CrossRef]

R. Driben, F. Mitschke, N. Zhavoronkov, “Cascaded interactions between Raman induced solitons and dispersive waves in photonic crystal fibers at the advanced stage of supercontinuum generation,” Opt. Express 18, 25993–25998 (2010).
[CrossRef] [PubMed]

D. V. Skryabin, A. V. Gorbach, “Colloquim: Looking at a soliton through the prism of optical supercontinuum,” Rev. Mod. Phys. 82, 1287–1299 (2010).
[CrossRef]

2009 (1)

J.-C. Nardin, G. Rousseax, P. Coullet, “Wave-current interaction as a spatial dynamical system: analogies with rainbow and black hole physics,” Phys. Rev. Lett. 102, 124504 (2009).
[CrossRef] [PubMed]

2008 (5)

J. M. Stone, J. C. Knight, “Visibly ‘white’ light generation in uniform photonic crystal fiber using a microchip laser,” Opt. Express 16, 2670–2675 (2008).
[CrossRef] [PubMed]

N. Rosanov, “Transformation of electromagnetic radiation at moving inhomogeneities of a medium,” JETP Lett. 88, 501–504 (2008).
[CrossRef]

A. V. Gorbach, D. V. Skryabin, “Bouncing of a dispersive pulse on an accelerating soliton and stepwise frequency conversion in optical fibers,” Opt. Express 15, 14560–14565 (2008).
[CrossRef]

T. G. Philbin, C. Kuklewicz, S. Robertson, S. Hill, F. König, U. Leonhardt, “Fiber-optical analog of the event horizon,” Science 319, 1367–1370 (2008).
[CrossRef] [PubMed]

A. A. Voronin, A. M. Zheltikov, “Soliton-number analysis of soliton-effect pulse compression to single-cycle pulse widths,” Phys. Rev. A 78, 063834 (2008).
[CrossRef]

2007 (2)

A. Demircan, U. Bandelow, “Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation,” Appl. Phys. B 86, 31–39 (2007).
[CrossRef]

D. R. Solli, C. Ropers, P. Koonath, B. Jalali, “Optical rogue waves,” Nature 450, 1054 (2007).
[CrossRef] [PubMed]

2006 (1)

J. M. Dudley, G. Genty, S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
[CrossRef]

2005 (2)

A. Demircan, U. Bandelow, “Supercontinuum generation by the modulation instability,” Opt. Commun. 244, 181–185 (2005).
[CrossRef]

G. Genty, M. Lehtonen, H. Ludvigsen, “Route to broadband blue-light generation in microstructured fibers,” Opt. Lett. 30, 756–758 (2005).
[CrossRef] [PubMed]

2004 (2)

2003 (1)

P. V. Mamyshev, P. G. J. Wigley, J. Wilson, G. I. Stegeman, V. A. Semeonov, E. M. Dianov, S. I. Miroshnichenko, “Adiabatic compression of Schrödinger solitons due to the combined perturbations of higher-order dispersion and delayed nonlinear response” Phys. Rev. Lett. 71, 73–76 (2003).
[CrossRef]

2001 (3)

2000 (1)

R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, P. St. J. Russell, “Optical frequency synthesizer for precision spectroscopy,” Phys. Rev. Lett. 85, 2264–2267 (2000).
[CrossRef] [PubMed]

1999 (1)

K. R. Tamura, M. Nakazawa, “Femtosecond soliton generation over a 32-nm wavelength range using a dispersion-flattened dispersion-decreasing fiber,” IEEE Photonics Technol. Lett. 11, 319–321 (1999).
[CrossRef]

1997 (1)

N. G. R. Broderick, D. Taverner, D. J. Richardson, M. Ibsen, R. I. Laming, “Optical pulse compression in fiber Bragg gratings,” Phys. Rev. Lett. 79, 4566–4569 (1997).
[CrossRef]

1992 (1)

1986 (1)

1975 (1)

R. Smith, “Reflection of short gravity waves on a non-uniform current,” Math. Proc. Cambridge Philos. Soc. 78, 517–525 (1975).
[CrossRef]

Amiranashvili, S.

A. Demircan, S. Amiranashvili, C. Brée, G. Steinmeyer, “Compressible octave spanning supercontinuum generation by two-pulse collisions,” Phys. Rev. Lett. 110, 233901 (2013).
[CrossRef]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[CrossRef] [PubMed]

A. Demircan, S. Amiranashvili, G. Steinmeyer, “Controlling light by light with an optical event horizon,” Phys. Rev. Lett. 106, 163901 (2011).
[CrossRef] [PubMed]

S. Amiranashvili, A. Demircan, “Ultrashort optical pulse propagation in terms of analytic signal,” Adv. Opt. Technol. 2011, 989515 (2011).
[CrossRef]

S. Amiranashvili, A. Demircan, “Hamiltonian structure of propagation equations for ultrashort optical pulses,” Phys. Rev. A 82, 013812 (2010).
[CrossRef]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, G. Steinmeyer, “Rogue wave formation by accelerated solitons at an optical event horizon,” Appl. Phys. B, doi: (2013).
[CrossRef]

Bandelow, U.

A. Demircan, U. Bandelow, “Analysis of the interplay between soliton fission and modulation instability in supercontinuum generation,” Appl. Phys. B 86, 31–39 (2007).
[CrossRef]

A. Demircan, U. Bandelow, “Supercontinuum generation by the modulation instability,” Opt. Commun. 244, 181–185 (2005).
[CrossRef]

Bang, O.

U. Møller, O. Bang, “Intensity noise in normal-pumped picoseconds supercontinuum generation, where higher-order Raman lines cross into the anomalous dispersion regime,” Electron. Lett. 49, 63–64 (2013).
[CrossRef]

U. Møller, S. T. Sorensen, C. Jacobsen, J. Johansen, P. M. Moselund, C. L. Thomsen, O. Bang, “Power dependence of supercontinuum noise in uniform and tapered PCFs,” Opt. Express 20, 2851–2857 (2012).
[CrossRef] [PubMed]

Batz, S.

M. Wimmer, A. Regensburger, C. Bersch, M.-A. Miri, S. Batz, G. Onishchukov, D. N. Christodoulides, U. Peschel, “Optical diametric drive acceleration through action-reaction symmetry breaking,” Nat. Phys. 9, 780–784 (2013).
[CrossRef]

S. Batz, U. Peschel, “Diametrically driven self-accelerating pulses in a photonic crystal fiber,” Phys. Rev. Lett. 110, 193901 (2013).
[CrossRef] [PubMed]

Belgiorno, F.

E. Rubino, A. Lotti, F. Belgiorno, S. L. Cacciatori, A. Couairon, U. Leonhardt, D. Faccio, “Soliton-induced relativistic-scattering and amplification,” Sci. Rep. 2, 932 (2012).
[CrossRef] [PubMed]

F. Belgiorno, S. L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V. G. Sala, D. Faccio, “Hawking radiation from ultrashort laser pulse filaments,” Phys. Rev. Lett. 105, 203901 (2010).
[CrossRef]

Bersch, C.

M. Wimmer, A. Regensburger, C. Bersch, M.-A. Miri, S. Batz, G. Onishchukov, D. N. Christodoulides, U. Peschel, “Optical diametric drive acceleration through action-reaction symmetry breaking,” Nat. Phys. 9, 780–784 (2013).
[CrossRef]

Biancalana, F.

M. F. Saleh, W. Chang, P. Hölzer, A. Nazarkin, J. C. Travers, N. Y. Joly, P. St. J. Russell, F. Biancalana, “Theory of photoionization-induced blueshift of ultrashort solitons in gas-filled hollow-core photonic crystal fibers,” Phys. Rev. Lett. 107, 203902 (2011).
[CrossRef] [PubMed]

Brée, C.

A. Demircan, S. Amiranashvili, C. Brée, G. Steinmeyer, “Compressible octave spanning supercontinuum generation by two-pulse collisions,” Phys. Rev. Lett. 110, 233901 (2013).
[CrossRef]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, G. Steinmeyer, “Rogue events in the group velocity horizon,” Sci. Rep. 2, 850 (2012).
[CrossRef] [PubMed]

A. Demircan, S. Amiranashvili, C. Brée, C. Mahnke, F. Mitschke, G. Steinmeyer, “Rogue wave formation by accelerated solitons at an optical event horizon,” Appl. Phys. B, doi: (2013).
[CrossRef]

Broderick, N. G. R.

N. G. R. Broderick, D. Taverner, D. J. Richardson, M. Ibsen, R. I. Laming, “Optical pulse compression in fiber Bragg gratings,” Phys. Rev. Lett. 79, 4566–4569 (1997).
[CrossRef]

Cacciatori, S. L.

E. Rubino, A. Lotti, F. Belgiorno, S. L. Cacciatori, A. Couairon, U. Leonhardt, D. Faccio, “Soliton-induced relativistic-scattering and amplification,” Sci. Rep. 2, 932 (2012).
[CrossRef] [PubMed]

F. Belgiorno, S. L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V. G. Sala, D. Faccio, “Hawking radiation from ultrashort laser pulse filaments,” Phys. Rev. Lett. 105, 203901 (2010).
[CrossRef]

Chang, W.

M. F. Saleh, W. Chang, P. Hölzer, A. Nazarkin, J. C. Travers, N. Y. Joly, P. St. J. Russell, F. Biancalana, “Theory of photoionization-induced blueshift of ultrashort solitons in gas-filled hollow-core photonic crystal fibers,” Phys. Rev. Lett. 107, 203902 (2011).
[CrossRef] [PubMed]

Christodoulides, D. N.

M. Wimmer, A. Regensburger, C. Bersch, M.-A. Miri, S. Batz, G. Onishchukov, D. N. Christodoulides, U. Peschel, “Optical diametric drive acceleration through action-reaction symmetry breaking,” Nat. Phys. 9, 780–784 (2013).
[CrossRef]

Chudoba, C.

Clerici, M.

F. Belgiorno, S. L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V. G. Sala, D. Faccio, “Hawking radiation from ultrashort laser pulse filaments,” Phys. Rev. Lett. 105, 203901 (2010).
[CrossRef]

Coen, S.

J. M. Dudley, G. Genty, S. Coen, “Supercontinuum generation in photonic crystal fiber,” Rev. Mod. Phys. 78, 1135–1184 (2006).
[CrossRef]

Couairon, A.

E. Rubino, A. Lotti, F. Belgiorno, S. L. Cacciatori, A. Couairon, U. Leonhardt, D. Faccio, “Soliton-induced relativistic-scattering and amplification,” Sci. Rep. 2, 932 (2012).
[CrossRef] [PubMed]

Coullet, P.

J.-C. Nardin, G. Rousseax, P. Coullet, “Wave-current interaction as a spatial dynamical system: analogies with rainbow and black hole physics,” Phys. Rev. Lett. 102, 124504 (2009).
[CrossRef] [PubMed]

De Sterke, C. M.

Demircan, A.

A. Demircan, S. Amiranashvili, C. Brée, G. Steinmeyer, “Compressible octave spanning supercontinuum generation by two-pulse collisions,” Phys. Rev. Lett. 110, 233901 (2013).
[CrossRef]

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Adv. Opt. Technol. (1)

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Appl. Phys. B (1)

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Cont. Phys. (1)

D. Faccio, “Laser pulse analogues of gravity and analogue Hawking radiation,” Cont. Phys. 1, 97–112 (2012).
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Figures (6)

Fig. 1
Fig. 1

The group velocity dispersion β2 and the relative group delay β1 = 1/vg of a fused silica fiber, exhibiting three exemplary wavelength combinations [1550,627] nm, [1800,530] nm, and [2200,428] nm for a soliton and a probe pulse with nearly equal group velocities.

Fig. 2
Fig. 2

Time domain and spectral evolution of two pulse collision between a soliton and a dispersive wave. (a,b) Enhanced XPM for the ”resonant” wavelength combination at [1550,627] nm representing the scattering process at an effective group-velocity horizon. (c,d) Typical crossing of two pulses without any repulsion for the standard XPM interaction for wavelength combination [1550,607] nm.

Fig. 3
Fig. 3

Supercontinuum generation by two pulse collision for the three frequency combinations marked in Fig. 1. (a,b) Supercontinuum encompassing more than an octave from the anomalous to the normal dispersion regimes for the wavelength combination [1550,627] nm. (c,d) Increased spectral bandwidth for the wavelength combination [1800,530] nm. (e,f) Supercontinuum spanning over the whole transparency region of fused silica for [2200,428] nm.

Fig. 4
Fig. 4

Evolution of the supercontinuum in the time domain and the spectral domain by two-pulse collision with the impact of the Raman effect for (a,b) the wavelength combination [1800,538] nm, and (c,d) [2200,428] nm.

Fig. 5
Fig. 5

Multiple scattering between dispersive waves and a fundamental soliton for generation of a supercontinuum ranging over the whole transparency region. Evolution (a) in the time domain, and (b) the spectral domain. The first dispersive wave is injected at a center wavelength of 470nm. The wavelength of the dispersive wave for the primary interaction with the soliton lies at 428 nm. All other parameters are the same as for Fig. 4(c,d).

Fig. 6
Fig. 6

(a) Single shot spectra for the supercontinuum generation in Fig. 5 at different propagation distances. (b) Corresponding degree of coherence.

Tables (1)

Tables Icon

Table 1 Pulse parameters for the soliton and dispersive wave.

Equations (24)

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z 2 E 1 c 2 t 2 ( ε ^ E + χ ( 3 ) E 3 ) = 0 .
z 2 E ω + β 2 ( ω ) E ω = ω 2 χ ( 3 ) c 2 ( E 3 ) ω ,
i z 𝒜 ω = δ H δ 𝒜 ω * with H = ω | β ( ω ) | 𝒜 ω 𝒜 ω * + H nonlin ( 𝒜 , 𝒜 * ) ,
i t a k = δ H δ a k * with H = k ω k | a k | 2 + H nonlin ( a , a * )
𝒜 ω ( z ) = | β ( ω ) | 2 μ 0 ω 2 [ E ω ( z ) i z E ω ( z ) | β ( ω ) | ] , E ω = μ 0 ω 2 2 | β ( ω ) | ( 𝒜 ω + 𝒜 ω * ) .
i z 𝒜 ω + | β ( ω ) | 𝒜 ω + 2 123 | ω T ω 1 ω 2 ω 3 ω 𝒜 ω 1 𝒜 ω 2 𝒜 ω 3 = 0 ,
𝒜 ω = 𝒜 ω + 𝒜 ω * 2 , T ω 1 ω 2 ω 3 ω 4 = ( μ 0 χ ( 3 ) / c 2 ) | ω 1 ω 2 ω 3 ω 4 | | β ( ω 1 ) β ( ω 2 ) β ( ω 3 ) β ( ω 4 ) | , 123 | ω = ω 1 , ω 2 , ω 3 ω 1 + ω 2 + ω 3 = ω .
H = ω | β ( ω ) | 𝒜 ω 𝒜 ω * + 1234 | 0 T ω 1 ω 2 ω 3 ω 4 𝒜 ω 1 𝒜 ω 2 𝒜 ω 3 𝒜 ω 4 .
H nonl = 3 8 1 2 ¯ 3 4 ¯ | 0 T ω 1 ω 2 ω 3 ω 4 𝒜 ω 1 𝒜 ω 2 * 𝒜 ω 3 𝒜 ω 4 *
i z 𝒜 ω + | β ( ω ) | 𝒜 ω + 3 4 1 2 ¯ 3 | ω T ω 1 ω 2 ω 3 ω 𝒜 ω 1 𝒜 ω 2 * 𝒜 ω 3 = 0 ,
H = T / 2 T / 2 [ ε 0 2 ( ε ^ E + 1 2 χ ( 3 ) E 3 ) E + 1 2 μ 0 B 2 ] d t T ,
ω ω | 𝒜 ω | 2 = T / 2 T / 2 E B μ 0 d t T = const
ω | 𝒜 ω | 2 = ω 1 | β ( ω ) | ( ε 0 ε eff ( ω ) | E ω | 2 2 + | B ω | 2 2 μ 0 ) = const
[ 1 1 | β ( ω ) | i z ] e ± i β ( ω ) z i ω t = [ 1 ± sign ω ] e ± i β ( ω ) z i ω t .
𝒜 ω = | β ( ω ) | 2 μ 0 ω 2 ω , ω > 0 ,
E ( z , t ) = ω E ω ( z ) e i ω t ( z , t ) = 2 ω > 0 E ω ( z ) e i ω t .
i z ω + β ( ω ) ω + ω 2 χ ( 3 ) 8 c 2 β ( ω ) [ ( + * ) 3 ] ω = 0 .
i z ω + β ( ω ) ω + 3 ω 2 χ ( 3 ) 8 c 2 β ( ω ) ( | | 2 ) ω = 0 , ω > 0 .
z + β ^ + n 2 c t ( | | 2 ) + = 0 .
z + β ^ + n 2 c t ( f K | | 2 + f R h ^ | | 2 ) + = 0 ,
h ^ | ( z , t ) | 2 = 0 h ( t ) | ( z , t t ) | 2 d t , h ( t ) = τ 1 2 + τ 2 2 τ 1 τ 2 2 e t / τ 2 sin ( t / τ 1 )
( z = 0 , t ) = s sech ( t / t s ) e i ω s t + p sech ( t / t p ) e i ω p t ,
E = 2 P 0 | β 2 | / γ ,
| g 12 ( λ , t 1 t 2 ) | = | E 1 * ( λ , t 1 ) E 2 ( λ , t 2 ) | E ( λ , t 1 ) | 2 | E 2 ( λ , t 2 ) | 2 | .

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