kappa Split Correction

Class: kwave.toolbox.AcousticSolver Package: kwave.toolbox

Calculate the temporal correction of a function in the time step variation

Syntax

fC = kappaSplitCorrection(obj, f)

Description

Calculates the correction to the usual kspace corrected temporal derivative for using an varied time stepping by considering a first order interpolation.

The vector components of the correction are stacked in the 4th dimension as with the gradient. For example, if calling gradient on a matrix of dimensions (10, 10), the output will be of size (10, 10, 1, 2). This is to allow codes to implement multi-dimensional support by always looping over the fourth dimension.

The components are calculated using 1D FFTs, and kappa2 is applied in the Fourier domain. before inverting the Fourier Transform.

Input Arguments

• f - (numeric) Scalar field that is to be corrected using.

Output Arguments

• fCorrected - (numeric) Correction from f.