Interference of Two Circular Waves

Interference of Two Circular Waves
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2016-05-31 19:53
This example demonstrates the interference pattern formed by the superposition of two circular waves. Key math concepts include wave superposition, amplitude, phase difference, and interference fringes. It is constructed using GeoGebra commands/objects like s_max, T, La, t_v, s, d, s_2, s_res, P_1, P_2, a, b, c, Text1, Text2, Text3. Suitable for high school physics or mathematics courses to visualize wave interference phenomena.

GeoGebra Commands & Parameters

  1. Numeric s_{max}(1.0)
  2. Numeric T(1.0)
  3. Numeric La(1.0)
  4. Numeric t_v(0.0)
  5. s(x, y) = (s_{max} * sin(((2 * π) * (t_v / T - sqrt(x^(2) + y^(2)) / La))))
  6. Numeric d(4.0)
  7. s_2(x, y) = (s_{max} * sin(((2 * π) * (t_v / T - sqrt((x - d)^(2) + y^(2)) / La))))
  8. s_res(x, y) = s(x, y) + s_2(x, y)
  9. Point P_1(0.0, 0.0)
  10. (d, 0)
  11. Boolean a(false)
  12. Boolean b(false)
  13. Boolean c(true)