Conceptual

Microwave Engineering E-Plane Tee Junction Theory and S-Matrix Analysis

The E-plane T-junction is a three-port microwave device formed by attaching a side arm parallel to the electric field axis within a rectangular waveguide broadside dimension, operating strictly within scattering parameter (S-Matrix) theory in electromagnetics. Its core theoretical properties include collinear ports exhibiting 180-degree phase opposition due to symmetry and reflectionless operation when matched at the series port, governed by specific unitary S-matrix constraints where diagonal terms are zero and off-diagonal cross-coupling coefficients equal ±1/√2. This concept serves as a foundational element in microwave network synthesis for isolating signals between collinear ports while allowing independent excitation of side arms based on superposition principles derived from reciprocity and energy conservation laws.