Abstract

We develop a general model, based on a (2+1)D unidirectional pulse propagation equation, for describing broadband noncollinear parametric interactions in 2D quadratic lattices. We apply it to the analysis of twin-beam optical parametric generation in hexagonally poled LiTaO3, gaining further insights into experimental observations.

© 2014 Optical Society of America

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  1. S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  11. M. Levenius, V. Pasiskevicius, and K. Gallo, Appl. Phys. Lett. 101, 121114 (2012).
    [CrossRef]
  12. H.-C. Liu and A. H. Kung, Opt. Express 16, 9714 (2008).
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    [CrossRef]
  14. M. Conforti, F. Baronio, and C. De Angelis, IEEE Photon. J. 2, 600 (2010).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  19. M. Kolesik, P. T. Whalen, and J. V. Moloney, J. Sel. Top. Quantum Electron. 18, 494 (2012).
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    [CrossRef]
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2013 (2)

2012 (4)

M. Levenius, M. Conforti, F. Baronio, V. Pasiskevicius, F. Laurell, A. De Angelis, and K. Gallo, Opt. Lett. 37, 1727 (2012).
[CrossRef]

S. Witte and K. S. E. Eikema, IEEE J. Sel. Top. Quantum Electron. 18, 296 (2012).
[CrossRef]

M. Levenius, V. Pasiskevicius, and K. Gallo, Appl. Phys. Lett. 101, 121114 (2012).
[CrossRef]

M. Kolesik, P. T. Whalen, and J. V. Moloney, J. Sel. Top. Quantum Electron. 18, 494 (2012).

2011 (3)

2010 (3)

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, Phys. Rev. A 81, 053841 (2010).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, IEEE Photon. J. 2, 600 (2010).

2008 (3)

K. Gallo, A. Pasquazi, S. Stivala, and G. Assanto, Phys. Rev. Lett. 100, 053901 (2008).
[CrossRef]

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

H.-C. Liu and A. H. Kung, Opt. Express 16, 9714 (2008).

2006 (1)

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

2002 (1)

2000 (1)

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

1998 (1)

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

1997 (1)

1992 (1)

Andreana, M.

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

Assanto, G.

K. Gallo, A. Pasquazi, S. Stivala, and G. Assanto, Phys. Rev. Lett. 100, 053901 (2008).
[CrossRef]

Baronio, F.

M. Conforti and F. Baronio, J. Opt. Soc. Am. B 30, 1041 (2013).
[CrossRef]

M. Levenius, M. Conforti, F. Baronio, V. Pasiskevicius, F. Laurell, A. De Angelis, and K. Gallo, Opt. Lett. 37, 1727 (2012).
[CrossRef]

M. Conforti, F. Baronio, C. De Angelis, M. Marangoni, and G. Cerullo, J. Opt. Soc. Am. B 28, 892 (2011).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, J. Opt. Soc. Am. B 28, 1231 (2011).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, Phys. Rev. A 81, 053841 (2010).
[CrossRef]

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, IEEE Photon. J. 2, 600 (2010).

Barthelemy, A.

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

Bratfalean, R. T.

Broderick, N. G. R.

N. G. R. Broderick, R. T. Bratfalean, T. M. Monro, D. J. Richardson, and C. Martijn de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

Carrasco, S.

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

Cerullo, G.

Conforti, M.

M. Conforti and F. Baronio, J. Opt. Soc. Am. B 30, 1041 (2013).
[CrossRef]

M. Levenius, M. Conforti, F. Baronio, V. Pasiskevicius, F. Laurell, A. De Angelis, and K. Gallo, Opt. Lett. 37, 1727 (2012).
[CrossRef]

M. Conforti, F. Baronio, C. De Angelis, M. Marangoni, and G. Cerullo, J. Opt. Soc. Am. B 28, 892 (2011).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, J. Opt. Soc. Am. B 28, 1231 (2011).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, Phys. Rev. A 81, 053841 (2010).
[CrossRef]

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, IEEE Photon. J. 2, 600 (2010).

Couderc, V.

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

Curl, R. F.

De Angelis, A.

De Angelis, C.

M. Conforti, F. Baronio, C. De Angelis, M. Marangoni, and G. Cerullo, J. Opt. Soc. Am. B 28, 892 (2011).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, J. Opt. Soc. Am. B 28, 1231 (2011).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, Phys. Rev. A 81, 053841 (2010).
[CrossRef]

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, IEEE Photon. J. 2, 600 (2010).

Degasperis, A.

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

DeSalvo, R.

Eikema, K. S. E.

S. Witte and K. S. E. Eikema, IEEE J. Sel. Top. Quantum Electron. 18, 296 (2012).
[CrossRef]

Fejer, M. M.

Gallmann, L.

Gallo, K.

M. Levenius, V. Pasiskevicius, and K. Gallo, Appl. Phys. Lett. 101, 121114 (2012).
[CrossRef]

M. Levenius, M. Conforti, F. Baronio, V. Pasiskevicius, F. Laurell, A. De Angelis, and K. Gallo, Opt. Lett. 37, 1727 (2012).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

K. Gallo, A. Pasquazi, S. Stivala, and G. Assanto, Phys. Rev. Lett. 100, 053901 (2008).
[CrossRef]

Hagan, D. J.

Hanna, D. C.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

Hu, X.

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

Jundt, D.

Keller, U.

Kolesik, M.

M. Kolesik, P. T. Whalen, and J. V. Moloney, J. Sel. Top. Quantum Electron. 18, 494 (2012).

Kung, A. H.

Laurell, F.

Levenius, M.

M. Levenius, M. Conforti, F. Baronio, V. Pasiskevicius, F. Laurell, A. De Angelis, and K. Gallo, Opt. Lett. 37, 1727 (2012).
[CrossRef]

M. Levenius, V. Pasiskevicius, and K. Gallo, Appl. Phys. Lett. 101, 121114 (2012).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Liu, H.-C.

Marangoni, M.

Martijn de Sterke, C.

Mayer, B. W.

Mine, Y.

Moloney, J. V.

M. Kolesik, P. T. Whalen, and J. V. Moloney, J. Sel. Top. Quantum Electron. 18, 494 (2012).

Monro, T. M.

Offerhaus, H. L.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

Pasiskevicius, V.

M. Levenius, V. Pasiskevicius, and K. Gallo, Appl. Phys. Lett. 101, 121114 (2012).
[CrossRef]

M. Levenius, M. Conforti, F. Baronio, V. Pasiskevicius, F. Laurell, A. De Angelis, and K. Gallo, Opt. Lett. 37, 1727 (2012).
[CrossRef]

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

Pasquazi, A.

K. Gallo, A. Pasquazi, S. Stivala, and G. Assanto, Phys. Rev. Lett. 100, 053901 (2008).
[CrossRef]

Petrov, K. P.

Phillips, C. R.

Qin, Y.

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

Richardson, D. J.

N. G. R. Broderick, R. T. Bratfalean, T. M. Monro, D. J. Richardson, and C. Martijn de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

Ross, G. W.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

Saleh, B. E. A.

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

Sergienko, A. V.

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

Sheik-Bahae, M.

Stegeman, G.

Stivala, S.

K. Gallo, A. Pasquazi, S. Stivala, and G. Assanto, Phys. Rev. Lett. 100, 053901 (2008).
[CrossRef]

Teich, M. C.

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

Tittel, F. K.

Topfer, T.

Torner, L.

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

Torres, J. P.

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

Van Stryland, E. W.

Vanherzeele, H.

Whalen, P. T.

M. Kolesik, P. T. Whalen, and J. V. Moloney, J. Sel. Top. Quantum Electron. 18, 494 (2012).

Witte, S.

S. Witte and K. S. E. Eikema, IEEE J. Sel. Top. Quantum Electron. 18, 296 (2012).
[CrossRef]

Zhang, C.

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

Zhao, G.

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

Zhu, Y.

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

K. Gallo, M. Levenius, F. Laurell, and V. Pasiskevicius, Appl. Phys. Lett. 98, 161113 (2011).
[CrossRef]

M. Levenius, V. Pasiskevicius, and K. Gallo, Appl. Phys. Lett. 101, 121114 (2012).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

S. Witte and K. S. E. Eikema, IEEE J. Sel. Top. Quantum Electron. 18, 296 (2012).
[CrossRef]

IEEE Photon. J. (1)

M. Conforti, F. Baronio, and C. De Angelis, IEEE Photon. J. 2, 600 (2010).

J. Opt. Soc. Am. B (4)

J. Sel. Top. Quantum Electron. (1)

M. Kolesik, P. T. Whalen, and J. V. Moloney, J. Sel. Top. Quantum Electron. 18, 494 (2012).

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. A (2)

S. Carrasco, A. V. Sergienko, B. E. A. Saleh, M. C. Teich, J. P. Torres, and L. Torner, Phys. Rev. A 73, 063802 (2006).
[CrossRef]

M. Conforti, F. Baronio, and C. De Angelis, Phys. Rev. A 81, 053841 (2010).
[CrossRef]

Phys. Rev. Lett. (5)

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef]

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

K. Gallo, A. Pasquazi, S. Stivala, and G. Assanto, Phys. Rev. Lett. 100, 053901 (2008).
[CrossRef]

Y. Qin, C. Zhang, Y. Zhu, X. Hu, and G. Zhao, Phys. Rev. Lett. 100, 063902 (2008).
[CrossRef]

F. Baronio, M. Conforti, C. De Angelis, A. Degasperis, M. Andreana, V. Couderc, and A. Barthelemy, Phys. Rev. Lett. 104, 113902 (2010).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Sketch of the interaction geometry for TB-OPG with a shared idler, excited by a pump propagating at an angle θp to the symmetry axis ξ of the lattice (shown here in reciprocal space). G1 and G2 are the base lattice vectors used for QPM; kp, ki, ks,1, are ks,2 are the wavevectors of the pump, shared idler, and twin-beam signals, respectively.

Fig. 2.
Fig. 2.

Spatiotemporal output spectra (dB) obtained from the numerical solution of Eq. (3). Signal (a) and idler (b) generated by a Gaussian pump (λp=806μm, Tp=1ps, Wp=0.5mm, Ip=19GW/cm2) propagating at an angle θp=0°. The white lines are predictions of OPG signals according to Eq. (4).

Fig. 3.
Fig. 3.

Same as Fig. 2 for θp=0.6°.

Fig. 4.
Fig. 4.

Output spectra in the symmetric case (θp=0°), corresponding to simulations of Fig. 2. (a) Angle-averaged spectra obtained from the model of Eq. (3), (b) experimentally recorded spectral-angular response as a function of output wavelength (λ) and external angle measured with respect to the pump (θθp), and (c) angle-averaged spectra measured in the range 500–1600 nm. The 1030nm OPG peak in (c) is attenuated by the dichroic filter. The inset in (a) shows numerical spatiotemporal output field.

Fig. 5.
Fig. 5.

Same as Fig. 4, for the asymmetric case θp=0.6°, corresponding to the simulations in Fig. 3.

Equations (4)

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

2Ez2+2Ex21c22t2E(t)ε(tt)dt=1ε0c22PNLt2,
2E^z2+[k2(ω)kx2]E^=ω2ε0c2P^NL,
E^z+ikz(ω,kx)E^=iω2χ(2)2kz(ω,kx)c2F[G(x,z)E2].
ωp=ωs+ωi,kpGm=ks,m+ki,m.

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