Propagação superluminal de pulsos com suporte compacto suave em circuitos eletrônicos

Abstract

In this work, using pulses based on functions with compact support and perfectly smooth infinitely differentiable zero intensity non analytical points, We demonstrated numerically and experimentally, a new approach to model information propagating through an electronic circuit producing negative group delays. Here, the information is associated to smooth non analytical points present in the leading edge of a pulse. The pulse or any of its derivatives does not present any discontinuity, in direct contradiction with standard literature that claims the necessity of a discontinuous front or a discontinuous derivative in order to code information. Our results show that the non analytical point in the pulse’s leading edge propagates with a velocity equal to velocity of light in vacuum c for all investigated cases. We find that the causality influence on the pulse propagation through a superluminal system, producing pulse steepening and even breakup. Our results contribute to a better undestanding of information propagation and shed light over perhaps one of the last misconceptions regarding superluminality and the speed of information