Reflected intensity from oil layer on water surface

2 replies · 1K views · last reply
unscientific
Messages
1,728
Reaction score
13

Homework Statement



Physics exam problem 10 on Huygens' principle and Snell's law, covering a fish viewed through oil over water, the field of view from a water tank, and reflected light minimum intensity from a thin oil layer.


Homework Equations


The Attempt at a Solution



For the second part, I got an answer that is indpendent of the index of oil? That woud mean that the answer would be the same as putting it directly through water..
Hand-drawn ray diagram of light refracting from air (n=1) through an oil layer (n=1.48) into water (n=1.33), with an observer above and a point source below at depth h2, and equations sin θ1 = n_o sin θ2 = n_w sin θ3, h1 ≈ D/sin θ1, h2 ≈ D/sin θ3, and h2 = h1(n_w).


No clue about the third part.

For the last part,
Not sure how this is related to a single slit where the I ~ sin2(β) / (β)

Ray diagram of a light ray refracting through a thin layer: an incident ray at angle θ to the normal enters the top surface, bends toward the normal inside the layer at angle α, reflects off the bottom surface, and exits the top surface at angle θ, with the normal drawn as a dashed line at each surface.
 
Last edited:
not sure how to even start the last two parts..