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Reflection and Refraction by Lenore Horner

Reflection and Refraction by Lenore Horner
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2016-02-12 19:35
AngleVectorGeometric Construction
This example illustrates the phenomena of reflection and refraction occurring simultaneously, as well as total internal reflection. It involves the physical behavior of light as it travels through different media. Using GeoGebra commands such as Polygon, Mirror, Ray, etc., the path and angle changes of the light rays are clearly demonstrated. Suitable for high school physics and mathematics education, aiding students in understanding optical principles.

GeoGebra Commands & Parameters

  1. Polygon(Corner[1, 1], Corner[1, 2], Right, Left) → poly1, a, b, right, left
  2. Polygon(Corner[1, 4], Corner[1, 3], Right, Left) → poly2, c, d, right_1, left_1
  3. Angle(D, (0, 0), C) → θ_{inc}
  4. Mirror(C, yAxis) → C'
  5. Ray((0, 0), C') → reflectedRay
  6. Rotate((0, (-y(C))), (((-sgn(x(C))) * sgn(y(C))) * refl), (0, 0)) → E
  7. Ray((0, 0), E) → refractedRay
  8. Angle((0, (-y(C))), (0, 0), E) → θ_{refr}
  9. Angle(D, (0, 0), C') → θ_{refl}
  10. Angle(E, (0, 0), C') → α
  11. Intersect(xAxis, yAxis) → O
  12. Vector(C, O) → incidentRay

AI Drawing Prompt Reference

Draw a diagram illustrating reflection and refraction of light, featuring two parallel rectangles with a point source on the left. Show a light ray entering between the rectangles, being reflected and refracted by the lower rectangle. Label the angles of incidence, reflection, and refraction to demonstrate how light behaves when passing through different media.
The prompt above was compiled from the original drawing commands and is for reference only.