Ceperley, Peter2016-03-142016-03-142016-03-14https://hdl.handle.net/1920/10104Viewing this animation requires the free Adobe flash viewer be installed on your computer.This animation shows the time dependence of the waves inside a ring resonator excited with standing waves. The particular mode excited has m=3. This mode is the twin of the earlier mode: same frequency, same shape but shifted in angle to make it mathematically independent of the earlier mode.enAttribution-NonCommercial 3.0 United StatesPhysicsMathematically independent mode, twin mode, standing wave mode, ring resonatorAnimation