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3D Surface Wave Interference Demo

3D Surface Wave Interference Demo
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2015-06-17 07:27
FunctionTrigonometrySolid GeometryGraphing
This example demonstrates the interference of two surface waves in 3D space. It involves core mathematical concepts such as wave superposition, phase difference, and amplitude. The construction uses GeoGebra commands/objects like r_1, r, a, t, k, ω, button1, button2, b, c, d, e, f_2, i, j, l, button3, g, f, H, Waves, m, n. Suitable for high school and above students to learn about wave theory and 3D graphical representation.

GeoGebra Commands & Parameters

  1. r_1(x, y) = sqrt(x^(2) + (y - 20)^(2))
  2. r(x, y) = sqrt(x^(2) + (y + 20)^(2))
  3. Numeric a(0)
  4. Numeric t(28)
  5. Numeric k(0.25)
  6. Numeric ω(15.2)
  7. Line b(1, 0, 0)
  8. Line c(0, 1, 0)
  9. Line d(1, 0, 0)
  10. Line e(0, 1, 0)
  11. Line f_2(1, 0, 0)
  12. Line i(0, 1, 0)
  13. Line j(1, 0, 0)
  14. Line l(0, 1, 0)
  15. g(x, y) = (a / r(x, y) * sin((k * r(x, y)) - (ω * t)))
  16. f(x, y) = (a / r_1(x, y) * sin((k * r_1(x, y)) - (ω * t)))
  17. H(x, y) = f(x, y) + g(x, y)
  18. Boolean Ondas(false)
  19. Boolean m(true)
  20. Boolean n(true)