For the first part, I got correct:
M = (lambda*f)/r_n
Converting units to meters (m) then plugging them in:
(550x10^-9 m) * (0.67 m)/(0.0125 m) = 2.948x10^-5 or 29.48x10^-6 m or 29.48 nm
This checked out.
For the second part, using the information from the first part:
f = r^2/(n*lambda) =...
Thank you, I'll look at that for the solution of the gradient, then solve for the length. There is a second step where we change the radius of the lens (keeping other parameters the same), then evaluate the change in the two calculated length,
The link you provided just hits their general...
z= the length of the lens, P is the pitch and g is the gradient constant. I attempted to solve for g using the radius and delta, but I think I am missing a key function. The units of g should be 1/mm.
P=0.23
delta = 0.05
nmax = 1.6
nmin = 1.6 - 0.05 = 1.55
r = 1.0 mm
z = (2*pi/g) * p
Attempt...