Exchange energy between two coupled modes
Adjust the controls, inspect the calculated response and use the reading links to place the model in its physical context.
Interactive model: Exchange energy between two coupled modes. Enable JavaScript to adjust its controls.
P₂ = [κ²/Ω²] sin²(ΩL); Ω² = κ² + (Δ/2)²
Lossless reciprocal coupling between two equal-frequency modes, with constant coupling κ and detuning Δ. Normalized length units are used; κ and Δ have inverse-length units. P₁ + P₂ = 1. Frequency-changing systems additionally require pump-energy bookkeeping.
What this model assumes
Lossless reciprocal coupling between two equal-frequency modes, with constant coupling κ and detuning Δ. Normalized length units are used; κ and Δ have inverse-length units. P₁ + P₂ = 1. Frequency-changing systems additionally require pump-energy bookkeeping.
How to explore it
Begin with the default values. Change one control at a time and watch both the graph and the readouts. Then reset the model and change another parameter. This isolates which input produces the effect you are seeing.
The plotted values are generated from the displayed equation. Downloading the calculated data lets you inspect the numerical series or compare it with a calculation of your own. The data are synthetic model outputs, not observations from an apparatus.
Before carrying a prediction into an experiment, match the model’s assumptions to the actual system: the relevant degrees of freedom, boundary conditions, noise, losses and measurement convention. The linked articles explain which comparison is physically meaningful.
Calculated model curves. Lossless reciprocal coupling between two equal-frequency modes, with constant coupling κ and detuning Δ. Normalized length units are used; κ and Δ have inverse-length units. P₁ + P₂ = 1. Frequency-changing systems additionally require pump-energy bookkeeping. Default control values are used in this fixed figure.
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