Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures

Kalinowski, Ksawery; Roedig, Philip; Sheng, Yan; Ayoub, Mousa; Imbrock, Jörg; Denz, Cornélia; Królikowski, Wiesław

doi:10.1364/ol.37.001832

Cited by 35 publications

(20 citation statements)

References 16 publications

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“…Figure 4(a) shows the result where the straight line in the graph represents the collinear phase mismatched emission, while the two curves represent the Čerenkov radiations. It is worth noting that the Čerenkov emission at a single χ 2 boundary follows the scenario observed in experiments with multiple domain walls in periodically poled ferroelectric crystals [7]. First, the emission angle θ increases with the incident angle, according to the relation k 2 cos θ 2k 1 cos α.…”

supporting

confidence: 58%

“…Moreover, the ČSHG enables the spatial control of the generated wave front, e.g., the formation of radially polarized Bessel beam [2,3]. So far the ČSHG has been realized in bulk ferroelectric crystals with antiparallel domains [4][5][6][7], or in waveguide geometries utilizing the automatic fulfillment of phase-matching condition involving guided fundamental and radiation harmonic modes [8,9].…”

mentioning

confidence: 99%

“…On one hand, it was suggested that the periodic change of sign of second-order nonlinearity χ 2 serves as a source of reciprocal lattice vectors, which can enable efficient ČSHG via noncollinear quasiphase matching [7,14]. On the other hand, it was claimed that the distortion of crystal lattice across the domain wall may induce local enhancement of χ 2 , which consequently leads to stronger ČSHG on the wall [10,15].…”

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confidence: 99%

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Role of a localized modulation of χ^(2) in Čerenkov second-harmonic generation in nonlinear bulk medium

et al. 2012

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We study the second-harmonic generation in quadratic nonlinear media with localized spatial modulation of χ((2)) response. We demonstrate that the emission of Čerenkov second-harmonic takes place only when the fundamental beam illuminates the region of χ((2)) variation. This proves that the sharp modulation of the χ((2)) nonlinearity constitutes a sufficient condition for the emission of Čerenkov second harmonic in bulk materials. Our calculations are in excellent agreement with simple analytical approach utilizing the concept of reciprocal vectors representing the Fourier spectrum of the modulation of χ((2)).

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confidence: 58%

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confidence: 99%

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confidence: 99%

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Role of a localized modulation of χ^(2) in Čerenkov second-harmonic generation in nonlinear bulk medium

et al. 2012

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“…Nonlinear Raman-Nath diffraction (NRND) is the most exciting nonlinear optical phenomenon to occur in periodic nonlinear photonic lattices [1][2][3][4][5][6]. This phenomenon appears as multiple second harmonic beams generated at small angles with respect to the incoming fundamental frequency (FF) beam, which is defined by the lattice periodicity [2].…”

mentioning

confidence: 99%

Multiple quasi-phase-matching in nonlinear Raman–Nath diffraction

Vyunishev

Chirkin

2015

Opt. Lett.

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The method of the superposition of a nonlinearity modulation is employed to design a two-dimensional (2D) nonlinear photonic lattice for efficient multiple quasi-phase-matched second harmonic generation in the process of nonlinear Raman-Nath diffraction (NRND). An analytical solution is proposed to calculate the second harmonic intensity in rectangular 2D lattices. This approach can be useful for the generation of multiple second harmonic beams with the efficiency a few orders of magnitude higher than in the case of nonphase-matched generation via NRND.

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“…2). This condition is also called Cerenkov phase matching [31][32][33][34]. In the same way, for the case of collinear SHG (φ = 0…”

Section: A Homogeneous Crystalmentioning

confidence: 89%

Wave-front phase-modulation control and focusing of second-harmonic light generated in transparent nonlinear random structures

et al. 2013

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We theoretically investigate how phase-only spatial light modulation can enable controlling and focusing the second-harmonic light generated in transparent nonlinear random structures. The studied structures are composed of domains with random sizes and antiparallel polarization, which accurately model widely used ferroelectric crystals such as strontium barium niobate. Using a first-principles Green-function formalism, we account for the effect that spatial light modulation of the fundamental beam introduces into the second-order nonlinear frequency conversion occurring in the considered class of structures. This approach provides a complete description of the physical origin of the second-harmonic light generation in the system, as well as the optimization of the light intensity in any arbitrary direction. Our numerical results show how the second-harmonic light is influenced by both the disorder in the structure and the boundaries of the crystal. Particularly, we find that the net result from the interplay between disorder and boundary effects is strongly dependent on the dimensions of the crystal and the observation direction. Remarkably, our calculations also show that although in general the maximum possible enhancement of the second-order light is the same as the one corresponding to linear light scattering in turbid media, in the Cerenkov phase matching direction the enhancement can exceed the linear limit. The theoretical analysis presented in this work expands the current understanding of light control in complex media and could contribute to the development of a new class of imaging and focusing techniques based on nonlinear frequency mixing in random optical materials.

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Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures

Cited by 35 publications

References 16 publications

Role of a localized modulation of χ^(2) in Čerenkov second-harmonic generation in nonlinear bulk medium

Role of a localized modulation of χ^(2) in Čerenkov second-harmonic generation in nonlinear bulk medium

Multiple quasi-phase-matching in nonlinear Raman–Nath diffraction

Wave-front phase-modulation control and focusing of second-harmonic light generated in transparent nonlinear random structures

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