Electromagnetism & Microwave Engineering

Cavity Resonator Modes

Explore standing electromagnetic wave modes in a metallic rectangular cavity resonator. Visualize $TE_{mn}$ and $TM_{mn}$ electric E-field intensity heatmaps, magnetic B-field loop vectors, and resonant frequencies.

Resonant Frequency f 3.25 GHz

Active Mode TE₁₀

Cavity Size (a × b) 80 × 50 mm

Cavity & Mode Setup

Mode Type

Oscillation Frequency Speed 1.0x

Visual Overlay

Show E-Field Vectors

Show B-Field Loops

Show Metallic Wall Badges

Controls

Cavity Resonant Frequency Formula

Resonant Frequency: f_{mnp} = (c / 2) · √[(m / a)² + (n / b)² + (p / d)²]
Transverse Electric Mode (TE₁₀): E_z(x,y,t) = E₀ · sin(πx / a) · cos(ωt)

Developer Reference

Core Algorithm & Standalone Script

// Metallic cavity resonator EM mode solver
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
// f_mn = (c / 2) * sqrt((m/a)^2 + (n/b)^2)