eikx2

eikx2 is a term that appears in some discussions of numerical methods for wave propagation and the Eikonal equation. It is not an established standard, and there is no widely recognized formal definition, but it is often described as a second variant within an eikonal-based solver.

Definition and scope: In informal use, eikx2 denotes a two-dimensional extension of an eikonal solver, intended to compute travel-time fields in 2D media. The prefix eik refers to the eikonal equation, while x2 signals two-dimensional problems or a version two.

Implementation characteristics: If implemented, eikx2 would rely on fast marching or fast sweeping discretizations, finite-difference schemes, and may target CPU or GPU architectures. The design emphasizes stability on irregular grids and the ability to handle anisotropic media.

Applications: Potential uses include seismic travel-time computation, radar imaging, robotics path planning, and computer graphics for realistic light transport and shadowing. It would typically be used to compute travel-time fields, wavefront arrival times, or level-set interfaces.

Status and references: Because eikx2 is not an officially defined concept, implementations vary and there are no canonical references. Readers should consult the specific project or publication where the term is used for details. See also: eikonal equation, fast marching method, level set method.