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Two-Dimensional Standing Wave on a Disk

Two-Dimensional Standing Wave on a Disk
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2018-07-30 15:56
CircleFunctionTrigonometry
In collections surface 3D /3D-Oberflächen 1
This example demonstrates a two-dimensional standing wave on a disk. Key mathematical concepts include trigonometric functions and wave properties. Using GeoGebra commands such as Function and Circle, the dynamic graphical representation of the standing wave is constructed. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Function((A_0 * (cos(((2 * π / λ) * (sqrt(x^(2) + y^(2)) - (v * t)))) + cos(((2 * π / λ) * (sqrt(x^(2) + y^(2)) + (v * t)))))), -2, 2, -2, 2) → f
  2. Circle(A1_1, A1_2, A1_4) → Anode1
  3. Circle(A2_1, A2_2, A2_3) → Anode2
  4. Circle(B2_1, B2_2, B2_3) → Node2
  5. Circle(B3_1, B3_2, B3_3) → Node3
  6. Circle(B1_1, B1_2, B1_3) → Node1