Rectangular Waveguide Breakdown Power Calculator

Rectangular Waveguide Breakdown Power Calculator

Calculate the maximum power before breakdown using:
\[ P_{\text{max}} = \frac{a\,b}{4\,Z_0} \, E_{\text{max}}^2 \, \sqrt{1-\left(\frac{f_c}{f}\right)^2} \] with \( f_c = \frac{c}{2a} \).

* Enter the waveguide dimensions \(a\) and \(b\) (m), the operating frequency \(f\) (GHz), and the maximum electric field \(E_{\text{max}}\) (V/m).

Step 1: Enter Parameters

Example: 0.1 m

Example: 0.05 m

Example: 10 GHz

Example: 3,000,000 V/m (typical for air)

Derived Formula: \( P_{\text{max}} = \frac{a\,b}{4\,Z_0} \, E_{\text{max}}^2 \, \sqrt{1-\left(\frac{f_c}{f}\right)^2} \) with \( f_c = \frac{c}{2a} \).


Practical Example:
For \( a=0.1\,\text{m} \), \( b=0.05\,\text{m} \), \( f=10\,\text{GHz} \) and \( E_{\text{max}}=3\times10^6\,\text{V/m} \), the calculator computes the cutoff frequency and the corresponding breakdown power.