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Frequency Splitting in Resonant Wireless Power Transfer

Interactive coupled-mode-theory simulator of two resonant WPT coils: watch the power-transfer spectrum bifurcate into two peaks once coupling exceeds the critical value k_c = 1/Q, with live efficiency, regime and split-frequency readouts.

Engineering & Materials3DAdvanced60 FPS📱 Mobile-adapted⇄ 2D version

Strongly-coupled magnetic resonance wireless power transfer — the mechanism behind WiTricity-style charging pads and mid-range WPT links — doesn't just get more efficient as two resonant coils are brought closer together. Past a critical coupling strength k_c = 1/Q, the single resonance peak of the power-transfer spectrum splits into two distinct peaks, a phenomenon called frequency splitting. This simulator solves the coupled-mode-theory equations for two identical LC resonators in real time, rendering the coil pair and its energy flow in 3D alongside a live transfer-efficiency spectrum. Sweep the coupling coefficient past k_c with the drive frequency fixed at resonance and watch the efficiency dip exactly where the theory predicts, while the spectrum panel reveals the two side peaks emerging.

⚙ Under the hood

A coupled-mode-theory simulator of two resonant WPT coils showing how the power-transfer spectrum splits into two peaks once coupling exceeds the critical value k_c = 1/Q, with live efficiency, coupling-regime and split-frequency readouts.

wireless powerresonant couplingcoupled-mode theoryfrequency splittingcritical couplingelectromagnetism

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install