Consecutive quasi-phase-matched generation of the third harmonic of the radiation from an Nd:YAG laser in a periodicaly poled Y:LiNbO<sub>3</sub>crystal

Волков, В. В.; Laptev, G D; Morozov, E Yu; Naumova, I. I.; Chirkin, A. S.

doi:10.1070/qe1998v028n11abeh001377

Cited by 13 publications

(12 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…y Volkov, Laptev, Morozov, Naumova, and Chirkin [1998] Abbreviations: QPOS -quasi periodical optical superlattices; BPM -birefringence phase matching; PR-QPM -phase reversed QPM structure (see ); 2D-NPC -two-dimensional photonic crystals; 2D-QPMtwo-dimensional QPM structure.…”

Section: Third-harmonic Multistep Processesmentioning

confidence: 99%

Multistep parametric processes in nonlinear optics

2005

View full text Add to dashboard Cite

We present a comprehensive overview of different types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic nonlinear media, the so-called multistep parametric interactions. We discuss a number of possibilities of double and multiple phase-matching in engineered structures with the sign-varying second-order nonlinear susceptibility, including (i) uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices, (ii) phase-reversed and periodically chirped QPM structures, and (iii) uniform QPM structures in non-collinear geometry, including recently fabricated two-dimensional nonlinear quadratic photonic crystals. We also summarize the most important experimental results on the multi-frequency generation due to multistep parametric processes, and overview the physics and basic properties of multi-color optical parametric solitons generated by these parametric interactions.

show abstract

Section: Third-harmonic Multistep Processesmentioning

confidence: 99%

Multistep parametric processes in nonlinear optics

2005

View full text Add to dashboard Cite

show abstract

“…However, only recently the rapid progress in a fabrication of high quality ferroelectric crystals with a periodic domain inversion made the QPM method very popular [9,12]. We should stress that the conditions for QPM may be fulfilled for several wave-mixing processes simultaneously; the QPM also has an advantage as using of largest nonlinear coefficient.Nowadays there are several experiments on an observation of third and fourth harmonics in different periodically or quasiperiodically poled ferroelectric crystals with χ (2) nonlinearity [7,13,14], which clearly demonstrate an importance of multiple-mixing in NPCs for the potential applications. Modern theoretical activities on the nonlinear lightwaves interactions in NPCs are mainly focused on the studies of strong energy interchange between the waves [12] (this is a development of the earlier activities [2,3]), as well as on the formation of spatial optical solitons [15].…”

mentioning

confidence: 99%

“…The integrable limit corresponds to the particular values of two combinations of wave phases at the boundary of nonlinear medium. In particular, the problem of THG belongs to the integrable limit, therefore in the conditions of recent experiments [7,13,14], nonlinear light dynamics should be always regular. However, even a rather small change in amplitudes and phases of waves at the boundary of crystal, in respect to those considered in [7,13,14], should result in a transition to chaos.…”

mentioning

confidence: 99%

“…[6,8,10] (theory) and Refs. [7,13,14] (experiment). The dynamical system (1) together with initial conditions, which in our case are the values of complex amplitudes at the boundary of NPC, A j (z = 0), completely determine the nonlinear spatial evolution of waves.…”

mentioning

confidence: 99%

“…[21], where an analytic solution has been found). We have performed an intensive search of chaotic trajectories solving the equations of motion (3) numerically for two characteristic values of control parameter ξ that correspond to the experimental situations described in works [7] and [13], correspondingly:…”

mentioning

confidence: 99%

See 2 more Smart Citations

Optical chaos in nonlinear photonic crystals

Alekseev¹,

Ponomarev²

2002

Jetp Lett.

View full text Add to dashboard Cite

We examine a spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity when simultaneously a second harmonic and a sum-frequency generation are quasi-phase-matched. We find the conditions of a transition to Hamiltonian chaos for different amplitudes of lightwaves at the boundary of the crystal. PACS: 42.65.Sf,05.45.Ac,42.70.Mp,42.65.Ky Wave mixing in nonlinear optical materials is a basis of modern optical sciences and technologies. Cascading several wave-mixing processes in the same low-loss material one can in principle achieve a high efficiency using a large value of the lowest-order optical nonlinearity. The theoretical investigations of cascading of several scalar optical three-wave-mixing processes in the bulk materials with χ (2) nonlinearity has a long history [1]. In particular, Akhmanov and co-workers have found the efficiency of a third harmonic generation (THG) via cascading of a second harmonic generation (SHG) and a sum-frequency mixing (SFM) in a quadratic medium [2], while Komissarova and Sukhorukov have described an efficient parametric amplification at a high-frequency pump in the same system [3]. Obviously, the observation of these nonlinear effects demands a simultaneous satisfaction of phase-matching conditions for several parametric processes as perfectly as possible. On other hand, it has been shown later that the systems, for which several optical wave-mixing processes can be simultaneously phase-matched, are in general nonintegrable; therefore a competition of two (or more) parametric processes can often result in a chaotic spatial evolution of lightwaves [4,5]. However, until nowadays it was unclear how to achieve a phase-matching for several processes in homogeneous medium employing traditional techniques, such as using a birefringence in ferroelectric crystals.The solution of this problem has been found rather recently [6,7,8]; it consists in an introduction of the different types of artificial periodicity of a nonlinear medium resulting in a formation of nonlinear 1D and 2D superstructures termed optical superlattices [9] or nonlinear * E-mail: Kirill.Alekseev@oulu.fi photonic crystals (NPCs) [10]. In NPCs there is a periodic (or quasiperiodic) spatial variation of a nonlinear susceptibility tensor while a linear susceptibility tensor is constant.In these engineering nonlinear materials a phase mismatch between the interacting lightwaves could be compensated by the Bragg vector of NPC. The idea of such kind of quasi-phase-matching (QPM) was introduced by Bloembergen and co-workers many years ago [11]. However, only recently the rapid progress in a fabrication of high quality ferroelectric crystals with a periodic domain inversion made the QPM method very popular [9,12]. We should stress that the conditions for QPM may be fulfilled for several wave-mixing processes simultaneously; the QPM also has an advantage as using of largest nonlinear coefficient.Nowadays there are several experiments on an observation of third and fourth harmonics i...

show abstract

Harmonic generation and wave mixing in nonlinear metamaterials and photonic crystals (Invited paper)

Shramkova

Schuchinsky

2012

Int J RF and Microwave Comp Aid Eng

View full text Add to dashboard Cite

show abstract

Consecutive quasi-phase-matched generation of the third harmonic of the radiation from an Nd:YAG laser in a periodicaly poled Y:LiNbO₃crystal

Cited by 13 publications

References 2 publications

Multistep parametric processes in nonlinear optics

Multistep parametric processes in nonlinear optics

Optical chaos in nonlinear photonic crystals

Harmonic generation and wave mixing in nonlinear metamaterials and photonic crystals (Invited paper)

Contact Info

Product

Resources

About

Consecutive quasi-phase-matched generation of the third harmonic of the radiation from an Nd:YAG laser in a periodicaly poled Y:LiNbO3crystal

Cited by 13 publications

References 2 publications

Multistep parametric processes in nonlinear optics

Multistep parametric processes in nonlinear optics

Optical chaos in nonlinear photonic crystals

Harmonic generation and wave mixing in nonlinear metamaterials and photonic crystals (Invited paper)

Contact Info

Product

Resources

About

Consecutive quasi-phase-matched generation of the third harmonic of the radiation from an Nd:YAG laser in a periodicaly poled Y:LiNbO₃crystal