Broadband and efficient adiabatic three-wave-mixing in a temperature-controlled bulk crystal

Markov, Andrey; Mazhorova, Anna; Breitenborn, Holger; Bruhács, Andrew; Clerici, Matteo; Modotto, D.; Jedrkiewicz, O.; Trapani, P. Di; Major, Arkady; Vidal, François; Morandotti, Roberto

doi:10.1364/oe.26.004448

Cited by 24 publications

(17 citation statements)

References 44 publications

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“…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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Section: Adiabatic Geometric Phasementioning

confidence: 99%

The geometric phase in nonlinear frequency conversion

Karnieli

Arie

2021

Front. Phys.

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“…Also, in order to achieve near-complete optical power transfer, it is essential that the two states (modes) |i and |r are decoupled at the entry (z = 0) and exit (z = L) faces of the DBR. Alternately, this is mathematically expressed as | ∆β κ | >> 2 at z = 0, L which is equivalent to satisfying the condition of autoresonance in 'two-wave' interaction system [29,30]. In this case, autoresonance essentially ensures that the counter-propagating modes remain phase-locked when the parameters of the Hamiltonian undergo an adiabatic change.…”

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confidence: 99%

Geometric representation of adiabatic distributed-Bragg-reflectors and broadening the photonic bandgap

Sharma,

Mondal,

Das

2021

Preprint

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Adiabatic following has been an widely-employed technique for achieving near-complete population transfer in a 'two-level' quantum mechanical system. The theoretical basis, however, could be generalized to a broad class of systems exhibiting SU(2) symmetry. In the present work, we present an analogy of population transfer dynamics of two level atomic system with that of light propagation in a classical 'one-dimensional' photonic crystal, commonly known as distributed-Bragg-reflector (DBR). This formalism facilitates in adapting the idea of adiabatic following, more precisely the rapid adiabatic passage (RAP) which is usually encountered in a broad class of quantum-mechanical systems. We present a chirped DBR configuration in which the adiabatic constraints are satisfied by virtue of optimally chirping the DBR. The reflection spectrum of the configuration exhibit broadening of photonic bandgap (PBG) in addition to a varying degree of suppression of sharp reflection peaks in the transmission band. The intermodal coupling between counter-propagating modes as well as their phase-mismatch, for the DBR configuration, exhibits a longitudinal variation which is usually observed in 'Allen-Eberly' scheme of adiabatic population transfer in two-level atomic systems.

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“…Also, in order to achieve near-complete optical power transfer, it is essential that the two states |i and |r are decoupled at the entry (z = − L 2 ) and exit (z = + L 2 ) faces of the DBR. Alternately, this is mathematically expressed as | ∆β κ | >> 2 at z = ± L 2 which is equivalent to satisfying the condition of autoresonance in 'two-wave' interaction system [29,30]. In this case, autoresonance essentially ensures that the counter-propagating modes remain phase-locked when the parameters of the Hamiltonian undergo an adiabatic change and consequently, near-complete transfer of optical power.…”

mentioning

confidence: 99%

Broadening the photonic bandgap in adiabatic distributed-Bragg-reflectors

Sharma,

Mondal,

Das

2021

Preprint

View full text Add to dashboard Cite

Adiabatic following has been an widely-employed technique for achieving near-complete population transfer in a 'two-level' quantum mechanical system. The theoretical basis, however, could be generalized to a broad class of systems exhibiting SU(2) symmetry. In the present work, we present an analogy of population transfer dynamics of two level system with that of light propagation in a classical 'one-dimensional' photonic crystal, commonly known as distributed-Bragg-reflector (DBR). This formalism facilitates in adapting the idea of adiabatic following, more precisely the rapid adiabatic passage (RAP) which is usually encountered in a broad class of quantum-mechanical systems. We present two different DBR configurations in which the adiabatic constraints are obeyed along the DBR length by virtue of optimum design. The reflection spectrum for both the configurations exhibit broadening of photonic bandgap (PBG) in addition to a varying degree of suppression of sharp transmission resonances. The intermodal coupling between counter-propagating modes as well as their phase-mismatch, for both the DBR configuration, exhibits a longitudinal variation which is usually observed in 'Allen-Eberly' scheme of adiabatic population transfer in two-level atomic systems.

show abstract

Broadband and efficient adiabatic three-wave-mixing in a temperature-controlled bulk crystal

Cited by 24 publications

References 44 publications

The geometric phase in nonlinear frequency conversion

The geometric phase in nonlinear frequency conversion

Geometric representation of adiabatic distributed-Bragg-reflectors and broadening the photonic bandgap

Broadening the photonic bandgap in adiabatic distributed-Bragg-reflectors

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