This paper presents the first theoretical framework that defines the electric infinitesimal structure model of electromagnetic waves. This model represents the electromagnetic fields by electric field components only. These components have a specific spatial arrangement that is responsible for exerting both the magnetic force and the electric force applied by the electromagnetic waves. There is no existing work that specifies this infinitesimal purely electric structure. Previous work considered electromagnetic waves to be formed by two types of fields, despite the belief that the magnetic field is an electric field in its origin. The validity of the proposed model has been proved by showing that the laws governing the interaction of electromagnetic waves using this model with other charges and current elements are exactly equivalent to the ones described in Maxwell's equations which have been obtained empirically. This work is important to help scientists in modeling the physical reality of photons and in better understanding the deeper physical process behind electromagnetic wave interactions. Such understanding may help scientists and engineers in making advancements to the technology and applications of electromagnetism and electromagnetic materials.