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1.Two positive lens L1 and L2 has the same focal length f>0. The distance between them is f/2. L1 is placed to the left of L2.
(a) An object is placed to the left of L1 with a distance of 4f. Please determine the final image position after this lens system.
b) If we treat this lens system as a single lens, what will be the focal length of this entire system?
Hint: The focus of the combined lens system can be determined by sending parallel rays into this system and see where the light focused.
2.Assume we place a screen with two parallel slits right in front of a lens (with focal distance f ), and illuminate with light (at wavelength λ) from far away.
(a) What will be the distance between the adjacent peaks (valleys) of the interference fringes along the focal plane?
(b) What will happen if we increase the distance d between two slits?
3.Two OCT systems, A is using a SLD source centered at 790 nm with a bandwidth of 75 nm, and B is using a Cr:Forstrite laser centered at 1260 nm with a bandwidth of 120 nm.
a) If I want to visualize sharp structures, which system should I use?
b) If I want to visualize deep structures, which system should I use?
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4.What is the lateral magnification of the image formed by a spherical concave mirror if the object is 15.0 cm from the mirror and the radius of curvature of the mirror is 50.0 cm? Draw a properly scaled ray diagram for this system below. Use a straight edge and include all three primary rays.
5.What is the lateral magnification of the image formed by a spherical convex mirror if the object is 15.0 cm from the mirror and the radius of curvature of the mirror is -30.0 cm? Draw a properly scaled ray diagram for this system below. Use a straight edge and include all three primary rays.
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