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Analytical partial derivatives of the phase- and group Velocities for rayleigh waves propagating in a layer on a half-space
(2005)
The dispersion relation for Rayleigh waves in a layer on a half-space is modified by
introducing the quadratic wave number instead of the phase velocity. The implicit
function theorem is then used to derive analytical ...
A fast method of computing group-velocity partial derivatives for Love waves propagating in a layer on a half-space
(1999)
The dispersion relation for Love waves in a layer on a half-space is modified by introducing the wave number and its square instead of the phase velocity. The implicit function theorem is then used to derive the analytical ...
Analysis of the stability and dispersion for a Riemannian acoustic wave equation
(ELSEVIER SCIENCE INC, 2019-01-15)
The construction of images of the Earth's interior using methods as reverse time migration (RTM) or full wave inversion (FWI) strongly depends on the numerical solution of the wave equation. A mathematical expression of ...
Localized superluminal solutions to the wave equation in (vacuum or) dispersive media, for arbitrary frequencies and with adjustable bandwidth
(Elsevier Science BvAmsterdamHolanda, 2003)
Gravity waves on a random bottom: exact dispersion-relation
(Taylor & Francis Ltd, 2021-05)
In a recent paper [Cáceres MO, Comments on wave-like propagation with binary disorder. J. Stat. Phys. 2021;182(36):doi.org/10.1007/s10 955-021-02699-0.], the evolution of a wave-like front perturbed by space-correlated ...
Seeding and layering of equatorial spread F by gravity waves
(American Geophysical Union, 1990-10)
Studies dating back more than 15 years have presented evidence that atmospheric gravity waves play a role in initiating nighttime equatorial F region instabilities. This paper analyzes a spectacular spread F event that for ...
Applying dimensional analysis to wave dispersion
(American Association of Physics Teachers, 2007-02)
We show that dimensional analysis supplemented by physical insight determines if a wave has dispersion, without recourse to sophisticated mathematical tools.