Light

Ryan Hirst, Jun 24, 2014

Reflection and refraction of light. Representing rays, waves, lamps, ... mirrors and other surfaces. Working from elementary cases toward more complex interactions. I draw aggressively from the collection Vector Methods [url]http://tube.geogebra.org/material/show/id/74031[/url]

Table of Contents

  1. Reflection
    1. Reflection: Resultant
    2. Reflect a Ray of light, 1
    3. One-sided reflection
    4. Reflect a lamp
    5. Two Mirrors
    6. A ray in a corner (between two lines)
    7. Ray in a corner, 2
  2. Refraction
    1. Refract a ray (Snell's Law)
    2. Snell's Law 2
  3. Deprecated Materials
    1. Vector algebra: Intersections of line and half-circle.
    2. Snell's Law 1
    3. Vector Algebra: Intersections of line and circle

1.

Reflection

  • 1. Reflection: Resultant
  • 2. Reflect a Ray of light, 1
  • 3. One-sided reflection
  • 4. Reflect a lamp
  • 5. Two Mirrors
  • 6. A ray in a corner (between two lines)
  • 7. Ray in a corner, 2

1.1.

Reflection: Resultant

Reflection: Resultant
– Ryan Hirst

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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2.

Refraction

  • 1. Refract a ray (Snell's Law)
  • 2. Snell's Law 2

2.1.

Refract a ray (Snell's Law)

When a ray of light crosses the surface of a translucent medium of different density, its speed and direction change (it is [i]refracted[/i]) according to Snell's Law.
Refract a ray (Snell's Law)
– Ryan Hirst

2.2.

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3.

Deprecated Materials

  • 1. Vector algebra: Intersections of line and half-circle.
  • 2. Snell's Law 1
  • 3. Vector Algebra: Intersections of line and circle

3.1.

Vector algebra: Intersections of line and half-circle.

Introduce a second ray, parallel to the first, offset by a distance δ.[br][br]Proposition:[br]To determine the point of intersection with the Unit half-circle, if any.
Vector algebra: Intersections of line and half-circle.
– Ryan Hirst

3.2.

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3.3.

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