Lieb-Liniger gas in a constant force potential [PDF]
, 2010 We use Gaudin's Fermi-Bose mapping operator to calculate exact solutions for the Lieb-Liniger model in a linear (constant force) potential (the constructed exact stationary solutions are referred to as the Lieb-Liniger-Airy wave functions).
Buljan, H. +3 more
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The Distribution of the Area under a Bessel Excursion and its Moments [PDF]
, 2014 A Bessel excursion is a Bessel process that begins at the origin and first returns there at some given time $T$. We study the distribution of the area under such an excursion, which recently found application in the context of laser cooling. The area $A$
Barkai, Eli +2 more
core +1 more source
Generation of finite energy Airyprime beams by Airy transformation
Optics Express, 2022 In this paper, the lone generation of a new kind of beam named finite energy Airyprime (FEA) beam through the Airy transformation of the coherent superposition of four different elegant Hermite-Gaussian modes is reported for the first time. Analytical expressions of the centroid, the r.m.s beam width, the divergence angle, and the beam propagation ...
Xiang Zang +5 more
openaire +2 more sources
Transformation of a Hermite-Gaussian beam by an Airy transform optical system
Optics Express, 2020 Analytical expression of the Airy transform of an arbitrary Hermite-Gaussian beam is derived. The optical field in the x-direction of the Airy transform of Hermite-Gaussian beams with transverse mode number m is the sum of the zero-order derivative to mth-order derivative of the Airy function with different weight coefficients.
Guoquan, Zhou +3 more
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Displacement fields of a Cuboid crystal in a Photoacoustic Cell: Mathematical aspects
Қарағанды университетінің хабаршысы. Физика сериясы, 2021 Photo acoustic effect is popular due to a minimal sample preparation during execution, the ability to examine scattering and opaque sample along with the capability to access depth profile.
А.П. Сароде +1 more
doaj +1 more source
Maximum relative height of one-dimensional interfaces : from Rayleigh to Airy distribution [PDF]
, 2009 We introduce an alternative definition of the relative height h^\kappa(x) of a one-dimensional fluctuating interface indexed by a continuously varying real paramater 0 \leq \kappa \leq 1.
Abramowitz M +11 more
core +2 more sources
Suppression of collapse for two-dimensional Airy beam in nonlocal nonlinear media
Scientific Reports, 2017 Dynamics and collapse of two-dimensional Airy beams are investigated numerically in nonlocal nonlinear media with split step Fourier transform method.
Qian Kong +4 more
doaj +1 more source
Generation of One-Dimensional Terahertz Airy Beam by Three-Dimensional Printed Cubic-Phase Plate
IEEE Photonics Journal, 2017 We first present the one-dimensional (1-D) terahertz (THz) Airy beam with a 0.3-THz continuous wave. The required phase modulation and the optical Fourier transform are implemented with a 3-D printed cubic-phase plate (CPP) and a cylindrical lens ...
Liting Niu +5 more
doaj +1 more source
Finite-energy accelerating beam dynamics in wavelet-based representations
Physical Review Research, 2020 Accelerating beams are wave packets that appear to spontaneously accelerate without external potentials or applied forces. Since their first physical realization in the form of Airy beams, they have found applications on various platforms, spanning from ...
David Colas +2 more
doaj +1 more source
Design, transform and control of optical field in discrete optical system: an example
Scientific Reports, 2017 A discrete optical system can broaden the spatial distribution of the input light through optical coupling in array waveguides, just like diffraction in continuous media.
Hongchang Deng, Yonggui Yuan, Libo Yuan
doaj +1 more source