This paper presents an analytical demonstration of the possibility of realizing an innovative photonic system consisting of an I-shaped amplitude divider based on waveguides with one input line (finite waveguide) and three output lines, each comprising a semi-infinite waveguide. This configuration allows the guidance, separation and division of electromagnetic waves from a single input channel into several output channels, providing an efficient approach to the controlled manipulation of electromagnetic signals. The system exhibits a broad spectrum of applications across various fields, particularly telecommunications. By using the transfer matrix method (TMM) to study the propagation of electromagnetic waves through a 4-port system of waveguides, this theoretical approach makes it possible to accurately calculate the transmission rates T1, T2, and T3 as well as the reflection rate R. This method offers an in-depth understanding of the propagation phenomena in the system studied, thus providing crucial indications for designing and optimizing efficient and functional photonic devices.