 #1
 24
 4
Homework Statement
Homework Equations
1/s+n/s′=1/f
where
s is distance from source to diffracting surface,
s' is distance from diffracting surface to focus,
f is the focal length,
n is the refractive index.
The Attempt at a Solution
Since we have parallel beams, we have s = infinity so the equation reduces to
n/s' = 1/F' <=> s' = n*F'
If our coordinate system is placed so that we have origo at F', we get:
s' = sqrt(x^2 + y^2)
inserting and solving for y we get:
sqrt(x^2 + y^2) = n*F'
x^2 + y^2 = (n*F')^2
y = +/ sqrt( (n*F')^2  x^2 )
But the solution in the book says:
What am i doing wrong?
Also, i notice that my solution is a spherical surface with a radius n*F', but the books solution is ellipsical. From optics we know that it should be a spherical surface, so is the book simply wrong?
Attachments

17.2 KB Views: 355

6.8 KB Views: 117
Last edited by a moderator: