Numerical Modeling by Using the FDTD and ETD Methods to Inspect the Cavity in an Isotropic Homogeneous Medium

Diagnosis using Ground Penetrating Radar (GPR) is an electromagnetic nondestructive evaluation technique, We can apply this technique to highlight the existence of underground cavities in buildings, makes it possible to locate areas of greatest weakness and even avoid potential collapse accidents, The first use of this technique dates back to the beginning of the twentieth century, with the GPR ground-penetrating radar, and like all types of radar, it is based on the emission of a signal and the recovery of an echo. Our main objective of this work is to recover digital data by using the FDTD method; in the first stage we will simulate a TEz propagation mode in an isotropic homogeneous medium of two dimensional, then in the second stage is to implement a cavity. These data can then be used in other experiments to derive maximum information about the target, i.e., its position, size, and even shape.