Recovering the Homogeneous Absorption of Inhomogeneous Media

Swing Absorption ’ of fast magnetosonic waves in inhomogeneous media

The recently suggested swing interaction between fast magnetosonic and Alfvén waves (Zaqarashvili & Roberts 2002a) is generalized to inhomogeneous media. We show that the fast magnetosonic waves propagating across an applied non-uniform magnetic field can parametrically amplify the Alfvén waves propagating along the field through the periodical variation of the Alfvén speed. The resonant Alfvén...

Gaussian beam evolution in inhomogeneous nonlinear media with absorption

The method of complex geometrical optics (CGO) is presented, which describes Gaussian beam (GB) diffraction and self-focusing along a curvilinear trajectory in inhomogeneous and nonlinear saturable media. CGO method reduces the problem of Gaussian beam propagation in inhomogeneous and nonlinear media to solving ordinary differential equations for the complex curvature of the wave front and for ...

Homogeneous and Inhomogeneous Manifolds

All metaLindelöf, and most countably paracompact, homogeneous manifolds are Hausdorff. Metacompact manifolds are never rigid. Every countable group can be realized as the group of autohomeomorphisms of a Lindelöf manifold. There is a rigid foliation of the plane.

The Mechanism of Swing Absorption of Fast Magnetosonic Waves in Inhomogeneous Media

The recently suggested swing interaction between fast magnetosonic and Alfvén waves (Zaqarashvili & Roberts, 2002a) is generalized to inhomogeneous media. We show that the fast magnetosonic waves propagating across an applied non-uniform magnetic field can parametrically amplify the Alfvén waves propagating along the field through the periodical variation of the Alfvén speed. The resonant Alfvé...

Analysis of Acoustic Wave in Homogeneous and Inhomogeneous Media Using Finite Element Method