Discrete wavelet structure and discrete energy of classical plane light waves

Abstract

We find by the wavelet transform that the classical plane light wave of linear polarization can be decomposed into a series of discrete Morlet wavelets. In the theoretical frame, the energy of the classical light wave becomes discrete; interestingly, the discretization is consistent with the energy division of P portions in Planck radiation theory, where P is an integer. It is shown that the changeable energy of a basic plane light wave packet or wave train is H 0k = np 0k ω (n = 1, 2, 3, … k = | k |), with discrete wavelet structure parameter n, wave vector k and idler frequency ω, and a constant p 0k . The wave-particle duality from the Mach--Zehnder interference of single photons is simulated by using random basic plane light wave packets.