Results 241 to 250 of about 28,913 (272)

The Airy Transform

The American Mathematical Monthly, 1979
(1979). The Airy Transform. The American Mathematical Monthly: Vol. 86, No. 4, pp. 271-277.
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Fractional Fourier transform of Airy beams

Applied Physics B, 2012
An analytical expression of an Airy beam passing through a fractional Fourier transform (FRFT) system is presented. The effective beam size of the Airy beam in the FRFT plane is also derived. The influences of the order of FRFT, the modulation parameter, and the transverse scale on the normalized intensity distribution and the effective beam size of an
Guoquan Zhou, Ruipin Chen, Xiuxiang Chu
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On the WKB theoretic transformation to the boosted Airy equation

Integral Transforms and Special Functions, 2021
WKB theoretic transformation to the boosted Airy equation is discussed. The formulae for the discontinuities of the Borel transforms of the WKB solutions to a differential equation which can be tra...
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Measurement of acceleration and orbital angular momentum of Airy beam and Airy-vortex beam by astigmatic transformation

Optics Letters, 2015
Special beams, including the Airy beam and the vortex-embedded Airy beam, draw much attention due to their unique features and promising applications. Therefore, it is necessary to devise a straightforward method for measuring these peculiar features of the beams with ease.
Brijesh Kumar, Singh, Roei, Remez, Yuval, Tsur, Ady, Arie   +3 more
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On Computation of Bessel and Airy Oscillatory Integral Transforms

Mathematical Methods in the Applied Sciences
ABSTRACTIn applied sciences, the analysis of Bessel and Airy oscillatory integrals is a demanding problem, particularly for large‐scale data points and large frequency parameters. The Levin method, with global radial basis functions, is an accurate tool for approximating these integrals.
Suliman Khan, Muhammad Arshad, Bin Wang, Zhenghua Qian   +3 more
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Airy Pulse Transformation by an Accelerated Medium Boundary

2019 IEEE 8th International Conference on Advanced Optoelectronics and Lasers (CAOL), 2019
In the statement of a problem with a moving boundary there is one more idealization, namely, movement stationarity assuming that the movement has begun at infinite past time. Abandoning this idealization, by considering a movement that begins at a finite moment of time, leads to the appearance of new peculiarities in the wave transformation on a moving
O.V. Zhyla, A.G. Nerukh, A.S. Gnatenko
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Transformation of ring-Airy beams during efficient harmonic generation

Optics Letters, 2019
We theoretically study the evolution of ring-Airy beams during harmonic generation with the focus on the regime of pump energy depletion. We demonstrate that in this regime, ring-Airy beams still preserve their abrupt autofocusing properties, while transforming to a multiple ring-Airy structure.
V. Yu. Fedorov, D. G. Papazoglou, S. Tzortzakis   +2 more
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PAPR Reduction in LTE Uplink Communications by Airy Companding Transform

2018 9th International Conference on Computing, Communication and Networking Technologies (ICCCNT), 2018
Long Term Evolution uses Single Carrier Frequency Division Multiple Access (SC-FDMA) for uplink communications as it has low peak to average power ratio (PAPR). But PAPR is still an issue for higher order modulations in localized SC-FDMA systems. Companding is an attractive technique to reduce PAPR.
K. Shri Ramtej, S. Anuradha
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Riesz fractional derivatives of the product of Airy transforms

Physica Scripta, 2009
Integral representations are derived for the Riesz fractional derivatives of the product of two functions, Dxα(uv). Here u(x)=∫∞-∞Ai(x- y)f(y) dy and v(x)=∫∞- ∞Ai(x-y)g(y) dy are the Airy transforms of the functions f(x) and g(x), respectively, and Ai(x) is the Airy function of the first kind.
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Some results involving integral transforms of Airy functions

Integral Transforms and Special Functions, 2015
In this paper, using the Schouten–Vanderpol and Titchmarsh theorems for the inverse Laplace transform, we obtain new integral identities for the Airy functions and their products. These integral identities are given in terms of the Laplace, Stieltjes and Hankel transforms.
Alireza Ansari, Mohammad Rasool Masomi
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