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tex2html_wrap_inline21 angle of normal at P

tex2html_wrap_inline23

Paraxial:

tex2html_wrap_inline25 tex2html_wrap_inline27

tex2html_wrap_inline29 tex2html_wrap_inline31

For tex2html_wrap_inline33 rad (tex2html_wrap_inline35), tex2html_wrap_inline37 and tex2html_wrap_inline39 to tex2html_wrap_inline41%.

So for paraxial case, tex2html_wrap_inline43

Snell's law: tex2html_wrap_inline45

If slope of incoming paraxial ray tex2html_wrap_inline47 (i.e.,tex2html_wrap_inline49, then

tex2html_wrap_inline51

Slope: tex2html_wrap_inline53

Coordinate: y'=y (same point)

So we can write a matrix equation for the new slope and coordinate:


displaymath57

where tex2html_wrap_inline59 is the refracting power of the surface.

tex2html_wrap_inline61 is the refraction matrix for surface 1 and transforms the incident ray into the refracted ray.





Jeff Wilkes
Wed Dec 27 16:55:47 PST 2000