doi:10.1029/96RS01516S. CornbleetDepartment of PhysicsJohn Wiley & Sons, LtdRadio ScienceS. Cornbleet, On the eikonal function, Radio Science. 31 (6) (1996) 1697-1703.
single domain and multi-domain geometry distance function obtained by the presented method with those by the upwind, TVD and WENO schemes indicate that the presented method is the preferred scheme to solve the distance Eikonal equation due to high accuracy and less numerical diffusion. ...
The Eikonal Equation is defined as a first-order differential equation that involves second-degree terms in partial derivatives of the eikonal function. It is used to solve for the function with appropriate boundary conditions, providing information about the optical field in a specific region of spa...
Since we assume a constant speed function within each tetrahedron the arrival time \(\phi _4\) is determined by the time associated with that segment from \(x_5\) to \(x_4\) that minimizes the solution value at \(x_4\), see Fig. 1. Therefore we have to determine the coordinates...
英文: APPROXIMATION TO A FUNCTION BY ITS POISSON INTEGRAL中文: 用普阿松积分准确逼近连续函数 英文: Matrix Valued Rational Approximation and Applications in Control Theory中文: 矩阵有理逼近及其在控制论中应用 英文: Firstly, the algorithm of SVM in regression approximation is introduced.中文: 首先,介绍...
Using a loss function defined by the underlying PDE, we train a DNN to yield the solution of the eikonal equation. To mitigate point-source singularity, we use the factored eikonal equation. Through tests on benchmark synthetic models, we study the accuracy properties of the proposed solver. ...
The closed form of the eikonal is stored in "EikonalClosedformList". Summing it up will generate the complete eikonal phase at 2PM in the aligned-spin configuration with a ⋅ b ≠ 0 . The output contains structures of the form T[f,rep], where f denotes the function in terms of a ...
and explicit expressions for similar expansions involving other powers oft. By the same method, we also obtain short-time asymptotics of𝟙∫Sexp(tmΔm)(f𝟙S)dV,m∈N, and more generally for one-parameter families of operatorst↦k(−tΔ)defined by an even Schwartz functionk. ...
We show that the cross-spectral density function, can be described by just one Helmholtz equation. The treatment permits us to associate directional features to the coherence phenomena. This implies the existence of extremal trajectories of correlation, which are characterized by an eikonal equation, ...
The aim of the current work is to present two efficient methods for the computation of the Eikonal phase shift function. Analytic formulas of the optical potential are presented in the position-space representation for nuclei that are well-represented by harmonic-well nuclear matter densities (A <...