Results 1 to 10 of about 1,087,074 (217)

Spherical One-Way Wave Equation [PDF]

Acoustics, 2021
The coordinate-free one-way wave equation is transferred in spherical coordinates. Therefore it is necessary to achieve consistency between gradient, divergence and Laplace operators and to establish, beside the conventional radial Nabla operator ∂Φ/∂r ...
Oskar Bschorr, Hans-Joachim Raida
doaj   +3 more sources

One-Way Wave Equation Derived from Impedance Theorem [PDF]

Acoustics, 2020
The wave equations for longitudinal and transverse waves being used in seismic calculations are based on the classical force/moment balance. Mathematically, these equations are 2nd order partial differential equations (PDE) and contain two solutions with
Oskar Bschorr, Hans-Joachim Raida
doaj   +3 more sources

Factorized One-Way Wave Equations [PDF]

Acoustics, 2021
The method used to factorize the longitudinal wave equation has been known for many decades. Using this knowledge, the classical 2nd-order partial differential Equation (PDE) established by Cauchy has been split into two 1st-order PDEs, in alignment with
Oskar Bschorr, Hans-Joachim Raida
doaj   +3 more sources

Discovery of the exact 3D one-way wave equation [PDF]

Nature Communications
The standard wave equation describing symmetrical wave propagation in all directions in three dimensions, was discovered by the French scientist d’Alembert, more than 250 years ago. In the 20th century it became important to search for ‘one-way’ versions
Kosmas L. Tsakmakidis, Tomasz P. Stefański   +1 more
doaj   +3 more sources

The stabilization of high-order multistep schemes for the Laguerre one-way wave equation solver [PDF]

Journal of Computational Physics, 2017
This paper considers spectral-finite difference methods of a high-order of accuracy for solving the one-way wave equation using the Laguerre integral transform with respect to time as the base.
A. Terekhov
semanticscholar   +3 more sources

Teleseismic waveform modelling with a one-way wave equation [PDF]

Geophysical Journal International, 2007
P. Audet, M. Bostock, J. Mercier
semanticscholar   +2 more sources

One-Way Vibration Absorber

Acoustics, 2022
A vibration absorber consisting of a one-dimensional waveguide with a reflectionless termination extracts vibrational energy from a structure that is to be damped.
Oskar Bschorr, Hans-Joachim Raida
doaj   +1 more source

One-Way Wave Operator

Acoustics, 2022
The second-order partial differential wave Equation (Cauchy’s first equation of motion), derived from Newton’s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a “two-way ...
Hans-Joachim Raida
doaj   +1 more source

Fast and Accurate Seismic Computations in Laterally Varying Environments

IEEE Access, 2021
The parabolic equation method provides an unrivaled combination of computational efficiency and accuracy for wave propagation problems in the geosciences in which the environment has strong vertical variations and gradual horizontal variations.
Michael D. Collins, Joseph F. Lingevitch, David C. Calvo   +2 more
doaj   +1 more source

Finite Difference Pre-Stack Depth Migration of One-Way Wave Equation in Isotropic Visco-Acoustic Media of a Ray-Centered Coordinate System

Energies, 2022
In seismic exploration, obtaining accurate bandwidth of the reflected signal is essential for determining seismic resolution. A portion of the stored energy is attenuated during signal propagation, narrowing the received seismic signal bandwidth ...
Bohan Zhang, Huazhong Wang
doaj   +1 more source