Reference no: EM132740108 , Length: 539 Words

Question 1. Consider a system of two thin lenses - one a biconvex lens and another biconcave lens. The focal length of convex lens is +20 cm and concave lens is - 10 cm. The two lenses are separated by 8 cm. An object of height 1 cm is placed at a distance of 40 cm from the convex lens.

a. Determine the system matrix.
b. What is the focal length of the lens?
c. How far are the Principal planes from the corresponding vertices?
d. What are the front and back focal lengths?
e. Where will the image be formed?
f. What will be the size of the image?

Question 2. An object of 1 cm height is placed 40 cm from a thick biconvex lens whose absolute radii of curvature are 24 cm and 36 cm. The thickness of the lens is 2 cm and it is made of material with an index of refraction 1.524. Using refraction formulation, calculate the image distance and size of the image.
In the above problem, assume that the second surface is silvered so that it acts like a concave mirror. What will be the image distance and size?

Question 3. A left circularly polarized light beam (λ=5893 Å) is incident normally on a calcite crystal (n0 = 1.65836, ne = 1.48641) of thickness 0.005141 mm. What will be the state of polarization of the emerging light?

Question 4. Thin biconvex lens is made of glass whose index of refraction 1.5 has a focal length of 50 cm in air. When the lens is immersed in a transparent liquid, the focal length is changed to 250 cm. Determine the refractive index of the liquid medium.

Question 5. Polarimetry is an instrument that uses rotation of polarized light to estimate the concentration of a solution. Certain compounds such as sugar solution rotates the plane of polarized light. The phenomenon is called optical rotation and such substances optically active compounds. Jones matrix of certain sugar solution is an optically given by

1/2√2[1+√3  - 1+√3]

         [1-√3  + 1+√3]

a. Determine the polarization of the emerging light if the incident beam is a horizontal ρ-state.
b. Determine the polarization of the emerging light if the incident beam is a vertical ρ-state.
c. Determine the angle of rotation produced by the optically active material.

Question 6. A microscope has a thin positive front lens L1 of 2 cm focal length, 10 cm behind which is another positive lens L2with a 5 cm focal length. (a) Locate the image of an object 3 cm from the front lens and compute the magnification. (b) Construct a ray diagram for a single axial object point.

Question 7. Determine the state of polarization of the wave

E +(z,t) = E3 [i^ cos (kz - ωt) + j^sin (kz - ωt)]

Question 8. Given incident 590 nm light, compute the minimum thickness which a quartz (n0 = 1.54, ne = 1.55) retarder must have if it is to be a quarter-wave plate.

Question 9. By deriving comment on what happens to the image location and size if the object is moved closed to a thin lens. Also show the image locations and sizes when the object is placed at 2f and f distance from the lens, f being the focal length of the lens.

Question 10. A thin biconvex lens with the same absolute curvature (R) on both faces is in an imaging system. Object (s0) is "immersed" in a material of index n0<ng, where ng is the index of the glass used to make the lens, and image (si) are in air. Using matrix formulation obtain imaging location and magnification.