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Refraction in a Square Prism

Refraction in a Square Prism
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2017-06-12 16:55
PolygonAngleGeometric Construction
This example demonstrates the refraction of light through a square prism. Key mathematical concepts include the law of refraction and angle calculations. Using GeoGebra commands such as Polygon, Point, OrthogonalLine, etc., the path of light through the prism can be dynamically shown. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Polygon(F, H, I, K) → poly2, f, h_1, i_1, k
  2. Point(f) → E
  3. OrthogonalLine(E, f) → i
  4. Point(i) → J
  5. Point(i) → M
  6. Angle(J, E, G) → α
  7. Rotate(M, asin((1 / n3 * sin(α))), E) → M'
  8. Ray(E, M') → n
  9. Intersect(i_1, n) → R
  10. OrthogonalLine(R, i_1) → d
  11. Point(d) → Z
  12. Point(d) → U
  13. Angle(E, R, U) → γ
  14. Rotate(M, asin((1 / n2 * sin(α))), E) → N'
  15. Ray(E, N') → m
  16. Intersect(i_1, m) → Q
  17. OrthogonalLine(Q, i_1) → t
  18. Point(t) → W
  19. Point(t) → T
  20. Angle(E, Q, T) → β
  21. Rotate(M, asin((1 / n1 * sin(α))), E) → O'
  22. Ray(E, O') → l
  23. Intersect(i_1, l) → P
  24. Segment(E, Q) → q
  25. OrthogonalLine(P, i_1) → s
  26. Point(s) → S
  27. Angle(E, P, S) → η
  28. Point(s) → V
  29. Rotate(V, (-asin((n1 * sin(η)))), P) → V'
  30. Angle(V', P, V) → κ
  31. Ray(P, V') → e
  32. Rotate(W, (-asin((n2 * sin(β)))), Q) → W'
  33. Ray(Q, W') → f_1
  34. Rotate(Z, (-asin((n3 * sin(γ)))), R) → Z'
  35. Angle(Z', R, Z) → μ
  36. Ray(R, Z') → g_1
  37. Segment(R, E) → r
  38. Segment(E, P) → p
  39. Ray(E, G) → h

AI Drawing Prompt Reference

Draw a square prism to demonstrate the refraction of light passing through it. Start by sketching a square prism, marking the incident point, and drawing a perpendicular line to the incident surface. Calculate the incident angle, rotate the light path based on different refractive indices, mark the points of refraction and emergence, and draw the refracted rays. Finally, connect key points to show the complete light path and the relationship between angles, illustrating the law of refraction and angle calculations.
The prompt above was compiled from the original drawing commands and is for reference only.