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Nonlinear generation and manipulation of Airy beams
 Nat. Photonics
, 2009
"... Recently, the first experimental observation of a new class of nondiffracting optical beams that freely accelerate in space was reported1. These socalled Airy beams were shown to be useful for optical micromanipulation of small particles2 and for the generation of curved plasma channels in air3. ..."
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Recently, the first experimental observation of a new class of nondiffracting optical beams that freely accelerate in space was reported1. These socalled Airy beams were shown to be useful for optical micromanipulation of small particles2 and for the generation of curved plasma channels in air3. To date, these beams have been generated only by using linear diffractive elements. Here, we show a new way of generating Airy beams by using threewave mixing processes, which occur in asymmetric nonlinear photonic crystals. We experimentally generated a secondharmonic Airy beam and examined the tuning properties of the nonlinear interaction and propagation dynamics of the pump and secondharmonic output beams. This nonlinear generation process enables Airy beams to be obtained at new wavelengths, and opens up new possibilities for alloptical switching and manipulation of Airy beams.
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"... Direct machining of curved trenches in silicon with femtosecond accelerating beams ..."
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Direct machining of curved trenches in silicon with femtosecond accelerating beams
Nonlinear dynamics of AiryVortex 3D wave packets: Emission of vortex light waves
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Bandlimited Airy Pulses for Invariant Propagation in SingleMode Fibers
"... Abstract—By spectral analysis, and using joint timefrequency representations, we present the theoretical basis to design invariant bandlimited Airy pulses with an arbitrary degree of robustness and an arbitrary range of singlemode fiber chromatic dispersion. The numerically simulated examples conf ..."
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Abstract—By spectral analysis, and using joint timefrequency representations, we present the theoretical basis to design invariant bandlimited Airy pulses with an arbitrary degree of robustness and an arbitrary range of singlemode fiber chromatic dispersion. The numerically simulated examples confirm the theoretically predicted pulse partial invariance in the propagation of the pulse in the fiber. Index Terms—Fiber optics, optical fiber communication, optical fiber dispersion, optical pulse shaping. I.
unknown title
, 2013
"... Control of the longitudinal profile of ablated structures during laser processing is a key technological requirement. We report here on the direct machining of trenches in silicon with circular profiles using femtosecond accelerating beams. We describe the ablation process based on an intensity thre ..."
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Control of the longitudinal profile of ablated structures during laser processing is a key technological requirement. We report here on the direct machining of trenches in silicon with circular profiles using femtosecond accelerating beams. We describe the ablation process based on an intensity threshold model, and show how the depth of the trenches can be predicted in the framework of a caustic description of the beam.
Quantum Physics Letters. An International Journal c ○ 2012 NSP Natural Sciences Publishing Cor. TailoredBeam Ultrashort Laser Pulses
, 2012
"... Abstract: Laser pulses with picosecond and femtosecond durations are now indispensable tools in many scientific disciplines. These ultrashort pulses provide unique temporal resolutions for investigations of phenomena taking place in comparable time ranges. In addition, optical energies squeezed into ..."
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Abstract: Laser pulses with picosecond and femtosecond durations are now indispensable tools in many scientific disciplines. These ultrashort pulses provide unique temporal resolutions for investigations of phenomena taking place in comparable time ranges. In addition, optical energies squeezed into such short time windows yield extremely high peak powers and intensities, paving the way to generate unprecedented lightmatter interactions. On the other side, recent advances in spatial light intensity and phase modulation devices enables generation of laser beam profiles with intriguing physical properties. By merging the two realms, optics researchers can now have the ability to harness light both in space and time. These possibilities bring about new physical interactions and significantly facilitate many applications of lasers.
Appell Transformation and Canonical Transforms ⋆
"... Abstract. The interpretation of the optical Appell transformation, as previously elaborated in relation to the freespace paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the caloric Appell transformation, well known in the theory of heat equation ..."
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Abstract. The interpretation of the optical Appell transformation, as previously elaborated in relation to the freespace paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the caloric Appell transformation, well known in the theory of heat equation, is shown to be amenable for a similar interpretation involving the Laplace transform rather than the Fourier transform, when dealing with the 1D heat equation. Accordingly, when considering the radial heat equation, suitably defined Hankeltype transforms come to be involved in the inherent Appell transformation. The analysis is aimed at outlining the link between the Appell transformation and the canonical transforms. Key words: heat equation; paraxial wave equation; Appell transformation
Reflection and refraction of an Airy beam at a dielectric interface
, 2012
"... Reflection and refraction of a finitepower Airy beam at the interface between two dielectric media are investigated analytically and numerically. The formulation takes into account the paraxial nature of the optical beams to derive convenient field evolution equations in coordinate frames moving al ..."
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Reflection and refraction of a finitepower Airy beam at the interface between two dielectric media are investigated analytically and numerically. The formulation takes into account the paraxial nature of the optical beams to derive convenient field evolution equations in coordinate frames moving along Snell’s refraction and reflection axes. Through numerical simulations, the selfaccelerating dynamics of the Airylike refracted and reflected beams are observed. Of special interest are the cases of critical incidence at Brewster and totalinternalreflection (TIR) angles. In the former case, we find that the reflected beam achieves selfhealing, despite the severe suppression of a part of its spectrum, while, in the latter case, the beam remains nearly unaffected except for the Goos– Hänchen shift. The selfaccelerating quality persists even if the beam is trapped bymultiple TIRs inside a dielectric film. The grazing incidence of an Airy beam at the interface between twomedia with close refractive indices is also investigated, revealing that the interface can act as a filter depending on the beam scale and tilt. We finally consider reverse refraction and perfect imaging of an Airy beam into a lefthanded medium. © 2012 Optical
NonParaxial Wave Analysis of 3D Airy Beams
"... The 3D Airy beam (AiB) is thoroughly explored from a wavetheory point of view. We utilize the exact spectral integral for the AiB to derive local raybased solutions that do not suffer from the limitations of the conventional parabolic equation (PE) solution, and are valid far beyond the paraxial z ..."
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The 3D Airy beam (AiB) is thoroughly explored from a wavetheory point of view. We utilize the exact spectral integral for the AiB to derive local raybased solutions that do not suffer from the limitations of the conventional parabolic equation (PE) solution, and are valid far beyond the paraxial zone and for longer ranges. The ray topology near the main lobe of the AiB delineates a hyperbolic umilic diffraction catastrophe, consisting of a cusped doublelayered caustic, but this caustic is deformed in the far range where the field loses its beam shape. The field in the vicinity of this caustic is described uniformly by a hyperbolic umilic canonical integral which is structured explicitly on the local geometry of the caustic as obtained from the initial field distribution. In order to accommodate the finiteenergy AiB we also modify the canonical integral by adding a complex loss parameter. The canonical integral is calculated using a series expansion and the results are used to identify the validity zone of the conventional PE solution. The analysis is performed within the framework of the nondispersive AiB where the aperture field is scaled with frequency such that the ray skeleton is frequencyindependent. This scaling enables an extension of the theory to the ultra wide band (UWB) regime and ensures that the pulsed field propagates along the curved beam trajectory without dispersion, as will be demonstrated in a subsequent publication. 1 ar