This calculator determines the resonance frequency (fmnp) of a microwave cavity based on its dimensions and its resonance mode. It helps design precise resonators and filters used in RF and microwave systems.
Useful for microwave engineers, filter designers, and researchers working on cavity design and dielectric material characterization.
Formula
f mnp = ( c / ( 2 × √(ε r × μ r ) ) ) × √( (m/a)² + (n/b)² + (p/h)² )
Explanation of the formula
- it is the speed of light (3 × 10 11 mm/s).
- ε r is the relative permittivity of the material.
- μ r is the relative permeability of the material.
- m, n, p represent the resonance mode indices in each dimension.
- a, b, h are the dimensions of the cavity expressed in mm, cm or inches.
Calculation of the resonance frequency of a rectangular cavity 30×20×10 mm
Input : a = 30 mm, b = 20 mm, h = 10 mm, εr = 1, μr = 1, m = 1, n = 1, p = 0
Output : f 110 ≈ 8.33 GHz
Benefits and uses
- Allows you to determine the natural frequencies of a microwave cavity.
- Useful for the design of resonators, filters and oscillators.
- Facilitates the comparison of the performance of dielectric materials.
- Essential tool for RF engineers and applied electromagnetics researchers.