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Concaved Lens Ray Diagram

Concaved Lens Ray Diagram
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2015-02-27 05:25
VectorCoordinate GeometryGeometric Construction
This example demonstrates the ray diagram for a concaved lens. Key mathematical concepts include the refraction and divergence of light. Using GeoGebra commands such as OrthogonalLine, Intersect, Point, etc., the ray diagram for a concaved lens can be constructed. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, yAxis) → b
  2. Intersect(b, yAxis) → B
  3. Point(a) → C
  4. Line(B, C) → c
  5. Point(a) → E
  6. Ray(A, E) → d
  7. OrthogonalLine(A, xAxis) → e
  8. Intersect(a, e) → G
  9. Intersect(c, d) → H
  10. OrthogonalLine(H, xAxis) → f
  11. Intersect(a, f) → I
  12. Vector(I, H) → z
  13. Vector(G, A) → g
  14. Point(c) → J
  15. Segment(B, J) → h
  16. Point(d) → K
  17. Segment(E, K) → i
  18. Mirror(C, j) → C'
  19. Segment(A, B) → u
  20. Point(a) → L
  21. Point(a) → M
  22. Hyperbola(L, M, N) → k
  23. Intersect(l, c) → O
  24. Intersect(d, l) → P
  25. Vector(B, O) → v
  26. Vector(A, P) → w

AI Drawing Prompt Reference

Draw a ray diagram for a concave lens, showing light refraction and divergence. Start by drawing a line perpendicular to the x-axis, then find its intersection with the y-axis. From this intersection, draw a straight line. Next, draw a ray from the origin and find its intersection with a line perpendicular to the x-axis. The intersection of the ray and the straight line gives a point. From this point, draw a perpendicular line to the x-axis, meeting the origin. Finally, draw vectors from the point to the origin and from the point to the intersection with the y-axis, completing the ray diagram.
The prompt above was compiled from the original drawing commands and is for reference only.