Nonlinear optics with full three-dimensional illumination

Penjweini, Rojiar; Weber, Markus; Sondermann, Markus; Boyd, Robert W.; Leuchs, Gerd

doi:10.1364/optica.6.000878

Cited by 9 publications

(13 citation statements)

References 35 publications

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“…In the low-frequency regime, the nonparaxial light propagation cannot be simply mapped to a Schrödinger-type wave equation. For example, a recent study 56 revealed that a tightly focused nonparaxial light beam can enhance nonlinear optical interactions. However, no attempt has been done to explore the topological properties of nonparaxial light.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric topological pumping in nonparaxial photonics

Cheng

Wang

et al. 2022

Nat Commun

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Topological photonics was initially inspired by the quantum-optical analogy between the Schrödinger equation for an electron wavefunction and the paraxial equation for a light beam. Here, we reveal an unexpected phenomenon in topological pumping observed in arrays of nonparaxial optical waveguides where the quantum-optical analogy becomes invalid. We predict theoretically and demonstrate experimentally an asymmetric topological pumping when the injected field transfers from one side of the waveguide array to the other side whereas the reverse process is unexpectedly forbidden. Our finding could open an avenue for exploring topological photonics that enables nontrivial topological phenomena and designs in photonics driven by nonparaxiality.

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Section: Introductionmentioning

confidence: 99%

Asymmetric topological pumping in nonparaxial photonics

Cheng

Wang

et al. 2022

Nat Commun

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“…However, the paraxial approximation is not always strictly satisfied in waveguide systems, and in fact nonparaxial light is quite ubiquitous in natural photonic systems, such as spin-orbit interaction of nonparaxial light [21,22], nonparaxial Airy beams [23][24][25][26][27][28] and other nonparaxial accelerating beams [29][30][31], etc. Recently, nonparaxiality has attracted growing interests, which has been shown to play an important role in third-harmonic generation [32] and asymmetric topological pumping [33]. Nevertheless, the study of nonparaxial wave propagation and related phenomena is still in its infancy, and it still remains elusive how nonparaxiality can benefit the field of photonics.…”

Section: Introductionmentioning

confidence: 99%

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

Xie¹,

Zhou²,

Xi³

et al. 2022

Preprint

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Photonic lattices have been widely used for simulating quantum physics, owing to the similar evolutions of paraxial waves and quantum particles. However, nonparaxial wave propagations in photonic lattices break the paradigm of the quantum-optical analogy. Here, we reveal that nonparaxiality exerts stretched and compressed forces on the energy spectrum in the celebrated Aubry-André-Harper model. By exploring the mini-gaps induced by the finite size of the different effects of nonparaxiality, we experimentally present that the expansion of one band gap supports the adiabatic transfer of boundary states while Landau-Zener transition occurs at the narrowing of the other gap, whereas identical transport behaviors are expected for the two gaps under paraxial approximation. Our results not only serve as a foundation of future studies of dynamic state transfer but also inspire applications leveraging nonparaxial transitions as a new degree of freedom.

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“…The resulting focal spot has a size which is on a par with or better than that of high quality lens objectives [2,3]. Parabolic mirrors have found multiple applications in confocal microscopy [4], cryostat based single molecule spectroscopy [5], scanning optical near-field microscopy [6], Raman microscopy [7], solar cells [8], light-emitting diodes [9], nonlinear optics [10]. Recently, deep parabolic mirrors gained attention in quantum optics because of their efficient focusing, ability of trapping individual quantum emitters, and of extracting a collimated beam of single photons [11,12].…”

Section: Introductionmentioning

confidence: 99%

Objective-free excitation of quantum emitters with a laser-written micro parabolic mirror

Morozov,

Vezzoli,

Khan

et al. 2020

Preprint

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The efficient excitation of quantum sources such as quantum dots or single molecules requires high NA optics which is often a challenge in cryogenics, or in ultrafast optics. Here we propose a 3.2 µm wide parabolic mirror, with a 0.8 µm focal length, fabricated by direct laser writing on CdSe/CdS colloidal quantum dots, capable of focusing the excitation light to a sub-wavelength spot and to extract the generated emission by collimating it into a narrow beam. This mirror is fabricated via in-situ volumetric optical lithography, which can be aligned to individual emitters, and it can be easily adapted to other geometries beyond the paraboloid. This compact solid-state transducer from far-field to the emitter has important applications in objective-free quantum technologies.

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Nonlinear optics with full three-dimensional illumination

Cited by 9 publications

References 35 publications

Asymmetric topological pumping in nonparaxial photonics

Asymmetric topological pumping in nonparaxial photonics

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

Objective-free excitation of quantum emitters with a laser-written micro parabolic mirror

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