Air‑Filled Rectangular Cavity Resonator Calculator

Rectangular Cavity Resonator Calculator

Calculate the resonant frequency of an air‑filled rectangular cavity resonator using:
\[ f_{mnp} = \frac{c}{2}\sqrt{\left(\frac{m}{a}\right)^2+\left(\frac{n}{b}\right)^2+\left(\frac{p}{d}\right)^2} \] where \(c=3\times10^8\) m/s, and \(a\), \(b\), \(d\) are the cavity dimensions.

* Enter the cavity dimensions in meters and the mode indices (m, n, p). For example, TE101 corresponds to (1, 0, 1).

Step 1: Enter Cavity Dimensions and Mode

Example: 0.05 m

Example: 0.025 m

Example: 0.1 m

Example: TE101 → (1,0,1)

Derived Formula: \( f_{mnp} = \frac{c}{2}\sqrt{\left(\frac{m}{a}\right)^2+\left(\frac{n}{b}\right)^2+\left(\frac{p}{d}\right)^2} \)


Practical Example:
For a cavity with \(a=0.05\,\text{m}\), \(b=0.025\,\text{m}\), \(d=0.1\,\text{m}\) and mode (1,0,1), the resonant frequency is computed accordingly.