This calculator determines the resonant frequency (fmnp) of a rectangular microwave cavity. It makes it possible to know the frequency at which the cavity enters into resonance according to its dimensions and the modes of propagation, useful in the design of RF filters and resonators.
Formula
f mnp = ( c / ( 2 × √(ε r × μ r ) ) ) × √( (m/a)² + (n/b)² + (p/h)² )
Explanation of the formula
The resonant frequency depends on the internal dimensions of the cavity (a, b, h), the mode indices (m, n, p), and the dielectric and magnetic constants of the material (εr and μr). The constant c represents the speed of light (3 × 10¹¹ mm/s). This relationship defines the frequencies at which the cavity can store and amplify electromagnetic energy.
Uses of the calculator
- Design of microwave cavities and resonant filters.
- Analysis of propagation modes in RF structures.
- Optimization of resonator size and performance.
- Practical tool for microwave and telecommunications engineers and researchers.