Analysing the scattering of electromagnetic ultra wide band pulses from large scale objects by the use of wavelets

François Bentosela (1, 2)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E8 Dynamique quantique et analyse spectrale

The aim of this paper is the study of the signal received by an antenna (RX) when a transmit antenna (TX) sends a short pulse in a large scale space, for instance, in an urban environment. Integral equations are established which link the densities of charges and currents inside the environment objects with the incident field created by the TX antenna. From this equations we define an integral operator K. The densities can be obtained inverting 1 − K. The introduction of Daubechies wavelets allows us to obtain sparse matrices for KK * which is computationally convenient to get (1 − K) −1 .

Mots clés: Electromagnetic scattering; UWB pulses; large scale; Daubechies wavelets; wireless telephony

Domaines: Physique mathématique [math-ph]; Physique [physics]

François Bentosela. Analysing the scattering of electromagnetic ultra wide band pulses from large scale objects by the use of wavelets. 2022. ⟨hal-03700422⟩