Third-harmonic generation microscopy with Bessel beams: a numerical study

Olivier, Nicolas; Débarre, Delphine; Mahou, Pierre; Beaurepaire, Emmanuel

doi:10.1364/oe.20.024886

Cited by 19 publications

(16 citation statements)

References 50 publications

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“…[19][20] The process described in this paper is a higher-order interaction that reveals further characteristics deeply connected with both the quantum and nonlinear optical character of the set-up. For simplicity, and also to directly connect with the realm of most practicable experimental measurements, we have considered the measurable form of the output in a region well removed from the conversion material -a distance of around one hundred input or two hundred output wavelengths.…”

Section: Resultsmentioning

confidence: 94%

Optical vortices in six-wave mixing

2014

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Optical vortex light engendered with integer units of orbital angular momentum (OAM) may be involved in frequency upconversion. Second harmonic generation is usually forbidden in isotropic media due to parity constraints, but it becomes allowed by six-wave mixing. Here, we present a rigorous quantum analysis for the case of a Laguerre-Gaussian input beam comprising photons endowed with a single unit of OAM. Such a process gives rise to the novel entanglement of orbital momentum in two emergent photons; it transpires that the mechanism delivers a harmonic output whose polarization is essentially parallel to the incident radiation. This investigation ascertains the character of the emission, both under forward propagation and back-reflection geometries, and identifies in detail the form of distribution in the entangled total orbital momentum. A distinctive conical spread, originating from the entangled distribution in the emission pair, affords a potential means to determine the individual angular momenta.

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Section: Resultsmentioning

confidence: 94%

Optical vortices in six-wave mixing

2014

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“…First, the latter approach also applies for high NA microscope objectives. Second, most recently published numerical calculation studies in nonlinear microscopy base on the combined Debye integral and Green function approach 27 28 32 . Incorporating the results into an equal theoretical framework will simplify the comparison of the data presented in this study to related work.…”

Section: Methodsmentioning

confidence: 99%

Bessel beam CARS of axially structured samples

Heuke

Zheng

Akimov

et al. 2015

Sci Rep

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We report about a Bessel beam CARS approach for axial profiling of multi-layer structures. This study presents an experimental implementation for the generation of CARS by Bessel beam excitation using only passive optical elements. Furthermore, an analytical expression is provided describing the generated anti-Stokes field by a homogeneous sample. Based on the concept of coherent transfer functions, the underling resolving power of axially structured geometries is investigated. It is found that through the non-linearity of the CARS process in combination with the folded illumination geometry continuous phase-matching is achieved starting from homogeneous samples up to spatial sample frequencies at twice of the pumping electric field wave. The experimental and analytical findings are modeled by the implementation of the Debye Integral and scalar Green function approach. Finally, the goal of reconstructing an axially layered sample is demonstrated on the basis of the numerically simulated modulus and phase of the anti-Stokes far-field radiation pattern.

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“…As a result, optimized beams may exhibit large transverse phase fluctuations, which in turn results in an poor field depth. This is a major impediment to applications such as atom guiding [10] and microscopy [11], where beams with large field depths (low divergence) are needed. In order to achieve coherent beam shaping, we must define another objective function related to phase fluctuations of the transverse profile.…”

Section: Coherent Beam Shaping Problemmentioning

confidence: 99%

Coherent beam shaping using two-dimensional photonic crystals

Gagnon

Dumont

Dubé

2013

2013 15th International Conference on Transparent Optical Networks (ICTON)

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Optical devices based on photonic crystals such as waveguides, lenses and beam-shapers, have received considerable theoretical and experimental attention in recent years. The production of these devices has been facilitated by the wide availability of silicon-on-insulator fabrication techniques. In this theoretical work, we show the possibility to design a coherent PhC-based beam-shaper. The basic photonic geometry used is a 2D square lattice of air holes in a high-index dielectric core. We formulate the beam shaping problem in terms of objective functions related to the amplitude and phase profile of the generated beam. We then use a parallel tabu search algorithm to minimize the two objectives simultaneously. Our results show that optimization of several attributes in integrated photonics design is well within reach of current algorithms.Comment: 15th International Conference on Transparent Optical Networks (2013

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Third-harmonic generation microscopy with Bessel beams: a numerical study

Cited by 19 publications

References 50 publications

Optical vortices in six-wave mixing

Optical vortices in six-wave mixing

Bessel beam CARS of axially structured samples

Coherent beam shaping using two-dimensional photonic crystals

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