In the context of the development of contactless products communicating at very high bit rates, known as VHBR (Very High Bit Rate) systems, it turns out that VHBR cards or passports, remotely powered from the reader that communicates with them, are forced to operate with a much lower power supply than products communicating at standard bit rates. To address this problem of insufficient power supply, it was necessary to start by revisiting line theory and orienting it to quantify the power transfers between a source and a load separated by any media. Then, this new means of quantifying power transfers was used to provide design assistance for VHBR drives. Then, this research work focuses on VHBR cards or passports. Indeed, in order to allow such a contactless system to operate in a remotely powered way in an environment where the available power is reduced, its design must be optimized. The solutions proposed here consist in determining the geometry of the inductive antennas that optimize the energy recovery and the power transfer to the chip of a VHBR card. Thus, the work presented in this manuscript brings global solutions to this problem of energy recovery in connected objects that are contactless systems, by describing design methods that allow on the one hand to limit power losses within VHBR readers, and on the other hand to optimize energy recovery within VHBR cards.