Terahertz pulse time-domain holography in dispersive media

We propose a mathematical model for holographic relief reconstruction of phase objects based on the analysis of diffraction patterns of pulsed terahertz radiation, recorded in a dispersive medium. Numerical simulation shows the influence of the dispersion medium on the process of phase and relief reconstruction: disregard of the dispersion due to the refractive index of the medium where terahertz radiation propagates causes an error in the reconstructed image. The normalized standard deviation amounts to 0.3 when the wavefront propagation distance is 10 mm, increasing to 0.45 at a distance of 70 mm.