Results 11 to 20 of about 3,283,376 (328)
An exact transverse Helmholtz equation [PDF]
Journal of the Optical Society of America A, 2009 We derive an exact equation for the transverse component of the electric field propagating along a given longitudinal z direction in the presence of an isotropic refractive-index distribution n(x,y)
Crosignani, Bruno +2 more
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Coupled Helmholtz equations: Chirped solitary waves [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 We investigate the existence and stability properties of chirped gray and anti-dark solitary waves within the framework of a coupled cubic nonlinear Helmholtz equation in the presence of self-steepening and a self-frequency shift. We show that for a particular combination of self-steepening and a self-frequency shift, there is not only chirping but ...
Naresh Saha, Barnana Roy, Avinash Khare
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Mathematics, 2023 In this work, it is shown that the geometry of a gravity field generated by a spheroid with low eccentricity can be described with the help of a newly modified Helmholtz equation.
Gerassimos Manoussakis
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Journal of Mathematics, 2022 The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes +3 more
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Continuous operator method application for direct and inverse scattering problems
Журнал Средневолжского математического общества, 2021 We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V. +3 more
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An analytical method for shallow spherical shell free vibration on two-parameter foundation
Heliyon, 2021 The free vibration control differential equation of shallow spherical shell on two-parameter foundation is a four order differential equation.
Jiarong Gan +4 more
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Solution to the Modified Helmholtz Equation for Arbitrary Periodic Charge Densities
Frontiers in Physics, 2021 We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or the screened Coulomb potential.
Miriam Winkelmann +13 more
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PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD
Majalah Ilmiah Matematika dan Statistika, 2021 Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed.
Millatuz Zahroh
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Chirped elliptic waves: Coupled Helmholtz equations [PDF]
Europhysics Letters, 2022 Abstract Exact chirped elliptic wave solutions are obtained within the framework of coupled cubic nonlinear Helmholtz equations in the presence of non-Kerr nonlinearity like self-steepening and self-frequency shift. It is shown that, for a particular combination of the self-steepening and the self-frequency shift parameters, the ...
Naresh Saha, Barnana Roy, Avinash Khare
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Inverse Random Source Scattering for the Helmholtz Equation with Attenuation [PDF]
SIAM Journal on Applied Mathematics, 2019 In this paper, a new model is proposed for the inverse random source scattering problem of the Helmholtz equation with attenuation. The source is assumed to be driven by a fractional Gaussian field whose covariance is represented by a classical pseudo ...
Peijun Li, Xu Wang
semanticscholar +1 more source