Results 281 to 290 of about 3,669,023 (333)
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1961
The vector Helmholtz equation, which occurs particularly in electromagnetic theory [19], is more complicated than the scalar Helmholtz equation and its separation presents new problems.
Parry Moon, Domina Eberle Spencer
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The vector Helmholtz equation, which occurs particularly in electromagnetic theory [19], is more complicated than the scalar Helmholtz equation and its separation presents new problems.
Parry Moon, Domina Eberle Spencer
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Journal of Mathematical Physics, 1978
In this paper, we introduce the spinor Helmholtz equation, a first order partial differential system, which, on the one hand, describes the behavior of a polarized electromagnetic beam at the Fresnel approximation and which, on the other hand, can also be used, from a numerical viewpoint, instead of the scalar Helmholtz equation for solving the ...
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In this paper, we introduce the spinor Helmholtz equation, a first order partial differential system, which, on the one hand, describes the behavior of a polarized electromagnetic beam at the Fresnel approximation and which, on the other hand, can also be used, from a numerical viewpoint, instead of the scalar Helmholtz equation for solving the ...
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Mean Value Integral Equations and the Helmholtz Equation
Results in Mathematics, 1996The author determines, with aid of spectral synthesis, all continuous functions which assume at each point of the real line or plane the integral mean of its values on a symmetric interval or circular disk of fixed radius, respectively. In the one dimensional case the solutions are exactly the examples found by \textit{W. Walter} [Result. Math. 26, No.
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Screen Problem for Vector Helmholtz Equation
Mathematische Nachrichten, 1999AbstractThe paper deals with the screen boundary value problem for vector Helmholtz equation in the three‐dimensional space. Using the method of boundary integral equations and the theory of elliptic pseudodifferential operators on manifolds with boundary we prove uniqueness and existence theorems in Bessel‐potential and Besov spaces and establish Cα ...
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Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
SIAM Review, 1974The relation between various boundary integral equation formulations of Dirichlet and Neumann problems for the three-dimensional Helmholtz equation is clarified. The integral equations derived using single or double layer distributions as well as those based on the Helmholtz representation using an unmodified free space Green’s function are presented ...
Kleinman, R. E., Roach, G. F.
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Symmetry Problems for the Helmholtz Equation
Applied Mathematics Letters, 2019Abstract Let D be a bounded domain in R 2 with a smooth boundary S , N be the unit normal to S pointing out of D , k > 0 is a constant. The class of over-determined problems of the type: ∇ 2 u + k 2 u = c 0 i n D , u | S = c 1 , u N
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Cylinderically Isotropic Fractional Helmholtz Equation
SSRN Electronic Journal, 2018Cylindrically symmetric fractional Helmholtz equation is analytically solved in an isotropic medium. The solution approach is based on the Caputo fractional derivatives. The general solution is based on fractional Bessel function attached to particular azimuthal and longitudal exponents.
Mazen S. Nairat, Mohammed Shqair
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Reconstruction of helmholtz plane to stabilize zinc metal anode/electrolyte interface
Energy Storage Materials, 2023Hai-bo Hu
exaly
Helmholtz Equation in Highly Heterogeneous Media
2014Helmholtz Equation in Highly Heterogeneous ...
Barucq, Hélène +3 more
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