Properties of Light Rays

Premises of Ray Tracing

1) Light rays travel in straight lines.

2)  Light rays do not interfere with each other if they cross.

3)  Light rays travel from the light sources to the eye, but the physics is constant under path reversal.  "The Principle of Reciprocity."

Light-Object Intersection

1)  Reflection vs. Transmission:  Reflection is when light arrives at a surface and bounces off.  For example, if a person takes a laser gun and shoots a beam of laser toward a mirror at an angle, the beam of laser will first hit the mirror and then reflect and travel away.  Light rays behave in the same way when they encounter reflective surfaces.  When light rays encounter transparent or translucent surfaces, however, transmission occurs.  Transmission is when light passes through the surface of an object.  A familiar example of this is shooting light rays at a prism.  When the light ray arrives at the surface of the prism, it travels through and exits at the other end.

2)  Specular vs. Diffusion:  A perfect reflection or transmission constitutes a specular propagation.  In this case, the full intensity of the light ray is reflected or transmitted in one direction.  Try to imagine a basketball being bounced off of a smooth floor; Specular reflection is the same idea.  Diffusion, on the other hand, is when the light ray leaves the surface with an equal intensity in all directions.  This time, try to imagine bouncing a basketball one hundred times at the same spot on a rough floor.  After the basketball hits the floor, its path back up is unpredictable each time.  Now imagine all one hundred balls being bounced at the same time.  The effect of one hundred balls coming back in all different directions resemble a diffuse propagation.

3)  Propagation from the Light Source vs. Propagation from the Reflection of Other Surfaces:  In a 3D environment, light arriving at a particular surface can either come directly from a light source, or from light reflecting off of other surfaces.  Imagine a room with only a wooden table and a light bulb mounted directly above the table.  The surface of the table is directly illuminated by the light bulb.  The space underneath the table, however, is still illuminated by light reflecting off of the walls of the room; this is why the space is shadowed, not pitch black.

Note:  Since there are 2 possible ways light can propagate in each category, a total of eight possibilities exist.  However, this is a simplified version because reflection and transmission, and specular and diffusion, are not absolute; they exist in degrees.  Therefore, one can imagine the extend of computational complexity in a ray tracing algorithm.

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