The effects of phase matching method and of crystal symmetry on the polar dependence of third-order non-linear optical polarization

Midwinter, J.E.; Warner, J.

doi:10.1088/0508-3443/16/11/307

Cited by 37 publications

(14 citation statements)

References 11 publications

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“…While the anisotropy of the quadratic nonlinearity is extensively used for optimizing the phase-matching properties and maximizing the quadratic nonlinear coefficients in nonlinear crystals, the case is different when it comes to treating the cubic nonlinearities: the anisotropic nature has often been neglected when studying self-phase modulation (SPM) effects from the Kerr nonlinear refractive index, in contrast to the case of third-harmonic generation, as evidenced even in early studies [21,22]. Here we show which anisotropic nonlinear susceptibility components the experimental literature data represent.…”

Section: Introductionmentioning

confidence: 99%

The anisotropic Kerr nonlinear refractive index of the beta-barium borate (β-BaB_2O_4) nonlinear crystal

Bache¹,

Guo²,

Zhou³

et al. 2013

Opt. Mater. Express

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Abstract:We study the anisotropic nature of the Kerr nonlinear response in a beta-barium borate (β -BaB 2 O 4 , BBO) nonlinear crystal. The focus is on determining the relevant χ (3) cubic tensor components that affect interaction of type I cascaded second-harmonic generation. Various experiments in the literature are analyzed and we correct the data from some of the experiments for contributions from cascading as well as for updated material parameters. We find that the Kerr nonlinear tensor component responsible for self-phase modulation in cascading is considerably larger than what has been used to date. We evaluate the impact of using such a cubic anisotropic response in ultrafast cascading experiments.© 2012 Optical Society of America OCIS codes: (000.0000) General. References and links1. L. A. Ostrovskii, "Self-action of light in crystals," Pisma Zh. Eksp. Teor. Fiz. 5, 331 (1967). [JETP Lett. 5, 272-275 (1967)]. 2. J. M. R. Thomas and J. P. E. Taran, "Pulse distortions in mismatched second harmonic generation," Opt. Commun. 4, 329 -334 (1972). 3. R. DeSalvo, D. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, "Self-focusing and self-defocusing by cascaded second-order effects in KTP," Opt. Lett. 17, 28-30 (1992). 4. G. I. Stegeman, D. J. Hagan, and L. Torner, "χ (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996). 5. X. Liu, L.-J. Qian, and F. W. Wise, "High-energy pulse compression by use of negative phase shifts produced by the cascaded χ (2) : χ (2) nonlinearity," Opt. Lett. 24, 1777Lett. 24, -1779Lett. 24, (1999 (2003) and ZnS," Appl. Phys. Lett. 65, 1739Lett. 65, -1741Lett. 65, (1994. 40. A. Gnoli, L. Razzari, and M. Righini, "Z-scan measurements using high repetition rate lasers: how to manage thermal effects," Opt. Express 13, 7976-7981 (2005 235-243 (1985). 55. R. S. Klein, G. E. Kugel, A. Maillard, A. Sifi, and K. Polgar, "Absolute non-linear optical coefficients measurements of BBO single crystal and determination of angular acceptance by second harmonic generation," Opt.

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Section: Introductionmentioning

confidence: 99%

The anisotropic Kerr nonlinear refractive index of the beta-barium borate (β-BaB_2O_4) nonlinear crystal

Bache¹,

Guo²,

Zhou³

et al. 2013

Opt. Mater. Express

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“…where, in accordance with the synchronisation conditions (5) and (6), we now have for the interaction of four waves [111]:…”

Section: Optical Processes Of the Third Ordermentioning

confidence: 60%

“…also in that of gases and liquids. The non-vanishing tensor elements have been tabulated for all the crystallographical classes [4,111]. In bodies in which optical dispersion is absent or negligibly small, the tensor Ziik~ can be dealt with as totally symmetric.…”

Section: Optical Processes Of the Third Ordermentioning

confidence: 99%

“…Equation 18 describes the mixing of three waves in a medium which gives rise to a fourth wave of sum frequency (5c) or other, difference frequencies. Midwinter and Warner [111] extended the theory of the phase matching technique of Giordmaine [43] and Maker et al [44] to the case of interaction between four waves. They suggested three different experimental situations involving (i) three waves (the lower frequencies) polarised orthogonally to the fourth, (ii) two orthogonal to the fourth, (iii) one orthogonal to the fourth.…”

Section: E(o)mentioning

confidence: 99%

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Optical harmonic generation and laser light frequency mixing processes in nonlinear media

Kielich

1970

Opto-electronics

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The essential results achieved during the ten years since the coming of lasers, in the fields of second, third and higher harmonic generation in reflected and transmitted, continuous and pulsed laser light, frequency mixing processes in various materials, and nonlinear optical properties of liquids, gases, crystals and other materials are reported concisely from the available literature. Stress is laid on the newer and more stimulating experimental results, and on their relation with other nonlinear phenomena.

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“…In order to obtain the effective nonlinearity [28,29], we have to rotate the polarization vector with matrix A, following the prescription…”

Section: Derivation Of the Propagation Equationsmentioning

confidence: 99%

Extreme high-intensity and ultrabroadband interactions in anisotropic β-BaB_2O_4 crystals

Conforti

Baronio

2013

J. Opt. Soc. Am. B

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We derive unidirectional pulse propagation equations to describe extreme high-intensity and ultrabroadband optical interactions in uniaxial crystals, showing both second-and third-order nonlinear optical susceptivities. We focus our attention on the anisotropic nature of the quadratic and cubic nonlinear response of beta-bariumborate (β-BaB 2 O 4 , BBO) crystals. Two nonlinearly coupled first-order (in the propagation coordinate) equations describe the dynamics and interactions of the ordinary and extraordinary field polarizations, and are valid for arbitrarily wide pulse bandwidth. We exploit this model to predict harmonic and supercontinuum generation in BBO crystals under the strong and competing influence of quadratic and cubic susceptivities.

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The effects of phase matching method and of crystal symmetry on the polar dependence of third-order non-linear optical polarization

Cited by 37 publications

References 11 publications

The anisotropic Kerr nonlinear refractive index of the beta-barium borate (β-BaB_2O_4) nonlinear crystal

The anisotropic Kerr nonlinear refractive index of the beta-barium borate (β-BaB_2O_4) nonlinear crystal

Optical harmonic generation and laser light frequency mixing processes in nonlinear media

Extreme high-intensity and ultrabroadband interactions in anisotropic β-BaB_2O_4 crystals

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