L =
[[ 0.5 1.25 ]
[-0.38461538 0.57692308]]
Principle Planes:
PP1: 0.49999999999999967
PP2: 1.3000000000000003
Nodal Points:
N1: 1.0999999999999999
N2: 0.7000000000000002
Focal Points:
F1: -1.5
F2: 3.3
b) In many of the examples we’ve seen, the front and back focal distances have been the same. Why are f1 and f2 different from each other for this example? They are different because the surrounding material is different on either side of the lens. This creates a variation in the focal lengths
c) Are the nodal points coincident with the principal planes for this case? Why or why not? They are not, partial because the whole mirror is not symmetrical due to the different surroundings, and partially because nodal points typically do not correspond to the planes
Ray 1:
[[1]
[0]]
Ray 2:
[[ 1. ]
[-0.03174603]]
Ray 3:
[[ 0.5 ]
[-0.38461538]]
Ray 4:
[[-0.03650794]
[-0.02075702]]
[1.31113631]
Principle Planes:
PP1: 0.8333333333333333
PP2: 1.1666666666666667
Nodal Points:
N1: 0.8333333333333333
N2: 1.1666666666666667
Focal Points:
F1: -0.8333333333333331
F2: 2.833333333333333
Principle Planes:
PP1: 0.09290218716659043
PP2: 0.6250790630834934
Nodal Points:
N1: -6.000718525302711
N2: 0.6250790630834934
Focal Points:
F1: 101.65226411370907
F2: -107.02790357592828