A Contradiction to the Law of Energy Conservation by Waves Interference in Symmetric/Asymmetric mode

Abstract

It can be agreed that the linear superposition and energy conservation are two independent physics laws in general. The former allows the energy to be re-distributed over space and the latter restricts the energy in the total amount. However, Levine shows the contradiction of the two laws mentioned above by creating a cleaver model that demonstrates the energy "doubling"- and "missing" phenomenon with the constrictive- and destructive interference at every point of whole space, respectively. While, he presented a wrong explanation by using one of the radiating sources to compare with an isolated source by the compensation of the impedance, where the mistake is simply analyzed in this paper. By setting up a spatial symmetric- and asymmetric-mode, we work upon Poynting theorem from the sources to the waves with the considerations of the superposition. The theoretical results reveal the invalidity of the energy conservation. Moreover, the experiments performed in the microwave anechoic chamber confirm the theoretical conclusion.