Cagniard–De Hoop method

In the mathematical modeling of seismic waves, the Cagniard–De Hoop method is a sophisticated mathematical tool for solving a large class of wave and diffusive problems in horizontally layered media.

Thanks to its versatility, however, the technique has become popular in other disciplines and is nowadays widely accepted as the benchmark for the computation of wavefields in layered media.

[4] Early applications of the Cagniard-DeHoop technique were limited to the wavefield propagation in piecewise homogeneous, loss-free layered media.

[5] To circumvent the limitations, a number of extensions enabling the incorporation of arbitrary dissipation and loss mechanisms[6][7] and continuously-layered media[8][9] were introduced.

More recently, the Cagniard–De Hoop technique has been employed to put forward a fundamentally new time-domain integral-equation technique in computational electromagnetics, the so-called Cagniard–De Hoop Method of Moments (CdH-MoM), for time-domain modeling of wire and planar antennas.