Discernibility and MDR for the Complex Dielectric Sphere in Rectangular Waveguide

The Morphology-dependent resonance (MDR) for a sphere follows form Mie theory. Analytics gives the solution only for a free-space situation. This work describes the initial principles of microwave discernibility conditions for a complex dielectric sphere, placed at the center of the rectangular waveguide. Obtained formulations, describe the behavior of reflection coefficient for the fundamental frequencies. The main interest aroused for the Rayleigh region. The caustic analysis, between sphere surface and waveguide walls, also gives the desired results. Numerical and natural experiments at the frequency range 10–12 GHz, confirms the findings.