EOP513 Fourier Optics Assignment 6
- Measure the appropriate features of the diffraction pattern of
a hand holding a dime and determine the distance from the dime to the
observation plane.
- Find the width (distance from center to first minimum) of the diffraction pattern at
focus for a 5-mm square aperture placed 50 mm in front of a 400-mm focal length lens
illuminated by a diverging beam of wavelength 0.5 μm originating 600 mm in front of
the lens.
- Do problems 5-7, 5-8, and 5-9 from the textbook. Use Matlab in
problem 5-7.
- The output of an argon laser is described in the plane z = z1 by
the expression below
Given the total beam power Ptot = 100 mW, l = 488 nm,
b1 = 1 mm, and R1 = 5 m:
- Find the location of the beam waist and the radius of the beam at the waist.
- Find the locations for which |R2| is a minimum,
find the value of b2 at
these points, and find the value of |R2|min.
- If we now let z12 = 2 m, find the description of u2(r),
i.e. find
A2, b2 and R2.
- Given the argon beam described in the previous problem,
suppose that a microscope objective (focal length 6 mm) is placed 20
mm from the laser and a positive
lens of focal length f = 80 mm and diameter
dl = 20 mm is placed 80 mm from the focus of the
microscope objective.
- Find the location and size of the next beam waist.
- Find the Rayleigh range associated with this waist.
- Find the position at which the lens just intercepts 99% of the
beam power.
- Find the location and size of the next beam waist.
Maintained by John
Loomis, last updated 21 June 2009