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雷达卡
國立聯合大學九十六學年度研究所入學考試試題
系所：光電工程學系（所）
科目：光學 第1 頁 共1 頁
1. Young’s experiment is performed with orange light from a krypton arc (λ=605.78 nm). If the fringes
are measured with a micrometer eyepiece at a distance 100cm from the double slits, it is found that 25
of them occupy a distance of 12.87mm between centers. Find the distance between the centers of the
two slits. (5%)
2. If the mirror of a Michelson interferometer is moved 1.0mm, how many fringes of the blue cadmium
line (λ=479.99 nm) will be counted crossing the field of view? (5%)
3. The method of coincidences of Fabry-Perot rings is used to compare two wavelengths, one of which is
546.074 nm, and the other slightly shorter. If coincidences occur at plate separations of 0.652, 1.872,
and 3.002 mm, find the wavelength of λ′. (5%)
4. Parallel light of wavelength 656.3nm is incidence normally on a slit 0.385 mm wide. A lens with a
focal length of 50cm is located just behind the slit bringing the diffraction pattern to focus on a white
screen. Find the distance from the center of the principle maximum to (a) the first minimum and (b)
the fifth minimum. (5%)
5. Find the diameter of the Airy disk in the focal plane of a refracting telescope having an objective with
a focal length of 1m and a diameter of 10cm. Assume the effective wavelength is 5.5×10-5cm. (5%)
6. Light of two wavelength, λ=560nm and λ=565nm, fall normally on a plane transmission grating
having 2500lines per centimeter. The emerging parallel light is focused on a flat screen by a lens of
120cm of focal length. Find the distance on the screen in centimeter between the two spectrum lines in
the second order. (5%)
7. Find a Jone’s vector E2 representing a polarization state orthogonal to E1=
1
−2j . Sketch both of these.
(5%)
8. A strait hollow pipe exactly 1.25m long, with glass plate 8.5mm thick to close to ends, is thoroughly
evacuated. A ray of light in air enters the left glass plate making 5º with the normal. Traveling through
the pipe, the ray is refracted into the right glass plate, then refracted again into air beyond. (a) If the
glass plate have a refractive index of 1.525,find the over all optical path between the two outer glass
surfaces. (b) By how much is the optical path increased if the pipe is filled with water refractive index
1.333. (10%)
9. A ray of light in air enters the center of one face of a prism at an angle making 55° with the normal.
Traveling through the glass, the ray is again refracted into the air beyond. Assume the angle between
the two prism faces to be 60° and the glass to have a refractive index of 1.65. Find the total deviation
of the ray graphically. (5%)
10. A thin equiconvex lens of index 1.53 and radii of 16 cm is silvered on one side. Find (a) focal length
and (b) power of this system if light enters the unsilvered side. (10%)
11. A thin lens with an aperture of 6 cm and focal length of -10 cm is located 4 cm behind another thin
lens with an aperture of 8 cm and a focal length of 5 cm. An object 4 cm high is located 12 cm in front
of the first lens, and a stop 5 cm in diameter is located midway between the lenses. Calculate (a) the
size and position of the entrance pupil (b) the size and position of the exit pupil, and (c) the size and
position of the final image. (d) Draw the marginal ray and the chief ray to find the size and position of
the final image. (35%)
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