In a frequency band corresponding to UWB, interpolation functions are obtained for a system illuminated by a plane wave. This research makes it possible to know the response in amplitude and phase of the system, whatever the frequency, according to the incident wave used. We first consider the case of a cylinder illuminated by a plane wave, in order to find some known results and to characterize the surface wave on the cylinder, and then human body morphological model. The idea of interpolation functions seems to be correct in the case of our homogeneous cylinder, as in the case of our bust of human morphology, because the relative average error remains correct. Thus, knowing the incident field, it is possible to know, at the opposite of the system of study, the value of the field in amplitude and phase whatever the frequency, by knowing its interpolation function in amplitude and for the average wave number for this system. That makes it possible to minimize the number of simulations in the FDTD method for the study of our system at only certain points of frequency. That also made it possible to highlight, with the search for an average wave number on the contour of the object studied, the presence of creeping waves.
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