- 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*=*z*_{1}by the expression belowGiven the total beam power

*P*_{tot}= 100 mW, l = 488 nm,*b*_{1}= 1 mm, and*R*_{1}= 5 m:- Find the location of the beam waist and the radius of the beam at the waist.
- Find the locations for which |
*R*_{2}| is a minimum, find the value of*b*_{2}at these points, and find the value of |*R*_{2}|_{min}. - If we now let
*z*_{12}= 2 m, find the description of*u*_{2}(*r*), i.e. find*A*_{2},*b*_{2}and*R*_{2}.

- 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*d*_{l}= 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 *