The Dehmelt Approximation

Equation:

z'' + [a - 2q cos(2ξ)] z = 0,

where prime(') indicates differentiation with respect to ξ.

Press the "Solve" button after providing the parameters listed below.

Scroll down to compare the Dehmelt solution with the numerical solution.

Mathieu parameters: a: q:
Initial conditions: z(0): z'(0):

Simulation parameters:
Number of steps per forcing cycle: Maximum number of forcing cycles:

Results

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