Results 291 to 300 of about 412,760 (333)

Propagation and focusing of Bessel–Gauss, generalized Bessel–Gauss, and modified Bessel–Gauss beams

Journal of the Optical Society of America A, 2001
The propagation of Bessel-Gauss, generalized Bessel-Gauss, and modified Bessel-Gauss beams, for which the exact form of the optical fields is known, is analyzed according to the approximate theory developed previously by the authors [J. Opt. Soc. Am. 17, 1021 (2000)].
R M, Herman, T A, Wiggins
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Vector Helmholtz–Gauss and vector Laplace–Gauss beams

Optics Letters, 2005
We demonstrate the existence of vector Helmholtz-Gauss (vHzG) and vector Laplace-Gauss beams that constitute two general families of localized vector beam solutions of the Maxwell equations in the paraxial approximation. The electromagnetic components are determined starting from the scalar solutions of the two-dimensional Helmholtz and Laplace ...
Miguel A, Bandres, Julio C, Gutiérrez-Vega   +1 more
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A note on classical Gauss–Radau and Gauss–Lobatto quadratures

Applied Numerical Mathematics, 2010
Let \(\int_a^b f(x)w(x)dx \approx w_0f(a)+\sum_{j=1}^N w_j f(x_j)+\delta w_{N+1}f(b)\) be the classical Gauss-Radau (\(\delta=0\)) or the Gauss-Lobatto (\(\delta=1\)) quadrature formulae. This note is devoted to study the connection between the boundary weight \(w_0\) associated with the fixed node \(x_0=a\) and weights \(w_j\) corresponding to ...
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Simultaneous backward stability of Gauss and Gauss–Jordan elimination

Numerical Linear Algebra with Applications, 2002
AbstractIt is well known that some pivoting strategies are backward stable for Gauss elimination but are not backward stable for Gauss–Jordan elimination (GJE) when these procedures are used to solve a linear system Ax=b. We analyse the simultaneous backward stability for Gauss and GJE of several pivoting strategies, including a pivoting strategy which
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Exponentially Harmonic Maps, Gauss Maps and Gauss Sections

Mediterranean Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Efficient and robust quadratures for isogeometric analysis: Reduced Gauss and Gauss–Greville rules

Computer Methods in Applied Mechanics and Engineering, 2022
Thomas J R Hughes, Di Miao, Roger A Sauer   +2 more
exaly  

A new representation of generalized averaged Gauss quadrature rules

Applied Numerical Mathematics, 2021
Lothar Reichel, Miodrag M Spalevic
exaly  

Comparison between the Propagation Properties of Bessel–Gauss and Generalized Laguerre–Gauss Beams

Photonics, 2023
, Miguel A Porras
exaly  

GAUSS 2.0, GAUSS 386 AND GAUSS VM

The Economic Journal, 1991
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On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications

Communications in Algebra, 2020
Engin Özkan, Merve Tastan
exaly