Broadband and robust adiabatic second-harmonic generation by a temperature gradient in birefringently phase-matched lithium triborate crystal

Rozenberg, Eyal; Arie, Ady

doi:10.1364/ol.44.003358

Cited by 20 publications

(10 citation statements)

References 23 publications

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“…Therefore, it is also possible to achieve control over the phase mismatch for the STA based frequency mixing using a suitable temperature profile. [42] Moreover, one can combine the optimally robust STA in nonlinear quantum systems to the case beyond depleted pump regime. [2,7] Regarding the physical implementation, one can optimize the focused pump beam with respect to beam characteristics, that is, focusing parameter and spatial pattern, which is also worthwhile to pursue in the future work.…”

Section: Discussionmentioning

confidence: 99%

Efficient Broadband Frequency Conversion via Shortcuts to Adiabaticity

2022

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The method of adiabatic frequency conversion, in analogy with a two‐level atomic system, has been put forward recently and verified experimentally to achieve robust frequency mixing processes such as sum and difference frequency generation. Here a comparative study of efficient frequency mixing using various techniques of shortcuts to adiabaticity such as counter‐diabatic driving and invariant‐based inverse engineering is presented. It is shown here that it is possible to perform sum frequency generation by properly designing the poling structure of a periodically poled crystal and the coupling between the input lights and the crystal. The required crystal length for frequency conversion significantly decreases beyond the adiabatic limit. This approach significantly improves the robustness of the process against the variation in temperature as well as the signal frequency. By introducing a single parameter control technique with constant coupling and combining with the inverse engineering, perturbation theory, and optimal control, it is shown that the phase mismatch can be further optimized with respect to the fluctuations of input wavelength and crystal temperature that results into a novel experimentally realizable mixing scheme.

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Section: Discussionmentioning

confidence: 99%

Efficient Broadband Frequency Conversion via Shortcuts to Adiabaticity

2022

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“…3(c). We note however that the geometric phase, as well as adiabatic frequency conversion, can also be accumulated in birefringently phase matched crystals by using thermal gradients [69]. In ferroelectric χ (2) materials, electric field poling [70] is a standard method for QPM in one and two dimensions, wherein ferroelectric domains of the nonlinear crystal are permanently poled according to the engineered structure, thereby flipping the sign of the nonlinear coefficient [see Fig.…”

Section: Basics Of Nonlinear Frequency Conversionmentioning

confidence: 99%

“…Another alternative that can be realized in birefringently phase matched crystals is obtained by introducing a thermal gradient [69,117]. A broadband efficiency is achieved since any deviation from the nominal wavelengths introduces a small change in ∆k, which shifts the origin of parameter space up or down with respect to the z axis.…”

Section: Adiabatic Geometric Phasementioning

confidence: 99%

The geometric phase in nonlinear frequency conversion

Karnieli

Arie

2021

Front. Phys.

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The geometric phase of light has been demonstrated in various platforms of the linear optical regime, raising interest both for fundamental science as well as applications, such as flat optical elements. Recently, the concept of geometric phases has been extended to nonlinear optics, following advances in engineering both bulk nonlinear photonic crystals and nonlinear metasurfaces. These new technologies offer a great promise of applications for nonlinear manipulation of light. In this review, we cover the recent theoretical and experimental advances in the field of geometric phases accompanying nonlinear frequency conversion. We first consider the case of bulk nonlinear photonic crystals, in which the interaction between propagating waves is quasi-phase-matched, with an engineerable geometric phase accumulated by the light. Nonlinear photonic crystals can offer efficient and robust frequency conversion in both the linearized and fully-nonlinear regimes of interaction, and allow for several applications including adiabatic mode conversion, electromagnetic nonreciprocity and novel topological effects for light. We then cover the rapidly-growing field of nonlinear Pancharatnam-Berry metasurfaces, which allow the simultaneous nonlinear generation and shaping of light by using ultrathin optical elements with subwavelength phase and amplitude resolution. We discuss the macroscopic selection rules that depend on the rotational symmetry of the constituent meta-atoms, the order of the harmonic generations, and the change in circular polarization. Continuous geometric phase gradients allow the steering of light beams and shaping of their spatial modes. More complex designs perform nonlinear imaging and multiplex nonlinear holograms, where the functionality is varied according to the generated harmonic order and polarization. Recent advancements in the fabrication of three dimensional nonlinear photonic crystals, as well as the pursuit of quantum light sources based on nonlinear metasurfaces, offer exciting new possibilities for novel nonlinear optical applications based on geometric phases.

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“…Adiabatic frequency conversion in the fully nonlinear case was studied in recent years [22][23][24], a criterion for adiabaticity was defined [25] and fully nonlinear adiabatic processes were demonstrated experimentally, e.g. quasi-phase matched second harmonic generation [26,27], birefringently phase matched second harmonic generation [28] and parametric amplification [29]. Nevertheless, how to control and predict the AGP in the fully nonlinear case remains an open question [30].…”

Section: Introductionmentioning

confidence: 99%

Adiabatic geometric phase in fully nonlinear three-wave mixing

Yesharim

Hurvitz

et al. 2020

Phys. Rev. A

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In a nonlinear three wave mixing process, the interacting waves can accumulate an adiabatic geometric phase (AGP) if the nonlinear coefficient of the crystal is modulated in a proper manner along the nonlinear crystal. This concept was studied so far only for the case in which the pump wave is much stronger than the two other waves, hence can be assumed to be constant. Here we extend this analysis for the fully nonlinear process, in which all three waves can be depleted and we show that the sign and magnitude of the AGP can be controlled by the period, phase and duty cycle of the nonlinear modulation pattern. In this fully nonlinear interaction, all the states of the system can be mapped onto a closed surface. Specifically, we study a process in which the eigenstate of the system follows a circular rotation on the surface. Our analysis reveals that the AGP equals to the difference between the total phase accumulated along the circular trajectory and that along its vertical projection, which is universal for the undepleted (linear) and depleted (nonlinear) cases. Moreover, the analysis reveals that the AGPs in the processes of sum-frequency generation and difference-frequency generation have opposite chirality. Finally, we utilize the AGP in the fully nonlinear case for splitting the beam into different diffraction orders in the far field.

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Broadband and robust adiabatic second-harmonic generation by a temperature gradient in birefringently phase-matched lithium triborate crystal

Cited by 20 publications

References 23 publications

Efficient Broadband Frequency Conversion via Shortcuts to Adiabaticity

Efficient Broadband Frequency Conversion via Shortcuts to Adiabaticity

The geometric phase in nonlinear frequency conversion

Adiabatic geometric phase in fully nonlinear three-wave mixing

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