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Lens Collimating

Single Slit Diffraction?
A collimated beam of mercury green light 546.1nm is normally incident on a slit 0.015cm wide. A lens of focal length 60cm is placed behind the slit. A diffraction pattern is formed on a screen placed in the focal plane of the lens. Determine the distance between
(i) the central maximum and first minimum and
(ii) the first and second minima. Use radians
Could someone please give me a solution for this! Seriously desperate!
The assumption is reluctantly made (see ref.) that the ray angles from slits to screen are not changed by the lens, and that the lens is immediately next to the slit, thus the diffraction angle equations are unaffected by presence of the lens.
1. m = 1
Θ1 = arcsin(m*lambda/d) = 3.64067470922265E-03 rad
2. m = 2
Θ2 = arcsin(m*lambda/d) = 7.28139767493248E-03 rad
Distance = Θ2-Θ1 = 3.64072296570983E-03 rad
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Agfa Isolette and Ansco Speedex Lens Collimating.wmv
Determine the ABCD matrix for a beam translated a distance d1, focused through a thin lens for focal lenght f1
a) Determine the ABCD matrix for a beam translated a distance d1, focused through a thin lens for focal lenght f1, and then translated a distance d2.
b) A collimated beam (plan waves) arrives at a concave mirror with a focal length of 0.15 m and is then focused by the mirror. Write out the ABCD matrix for this process
a)Let
MT(d)={{1,d},{0,1}}
MF(f)={1,0},{-1/f,1}}
Then the matrix you want is
M=MT(d2). MF(f).MT(d1)={{A,B},{C,D}}
={{1 - d2/f, d1 + d2 - (d1 d2)/f}, {-(1/f), 1 - d1/f}}
b)The question should state more clearly what the input and output planes are. If I assume the first to be at the mirror and the second at its focal point, then, with f=.15 m:
M=MT(f).MF(f)={{0, f}, {-(1/f), 1}}={{0., 0.15}, {-6.66667, 1.}}































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