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(ELEC308)[2010](s)midterm~yzhaoab^_10611.pdf
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ELEC308 Engineering Optics
MID-TERM EXAMINATION





DATE: March 30, 2010
TIME: 6:30 pm C 8:30 pm
Venue: LTJ



PLEDGE OF HONOR
On my honor as a student of Hong Kong University of Science and Technology, I have neither received aid from others nor given aid to others while taking this exam. All of the answers represent my own work.


Signature: __________________ Date: ________________




Student Name:
Student Number:


Total points: 30 pts. + 6 pts. (bonus)

1. (16 pts.) Short-answering questions:

(i) (a) What is the wave-particle duality of light? (b)Describer two famous experiments to show the wave and particle properties of light, respectively.

(ii) Prove Snells law using Fermats principle.

(iii) Two positive lenses with focal lengths of 0.30 m and 0.50 m are separated by a distance of 0.20 m. An object is 0.50m in front of the first lens. (a) Use Gaussian imaging formation equation to locate the resulting image with respect to the second lens; (b) Use graphical ray tracing method to make a sketch and locate the image.

(iv) (a)What causes spherical aberration? (b) Suppose an object with the pattern shown in the left side of the figure below is imaged by a lens system suffering spherical aberration only, make a sketch of the image.











(v) (a) Describe the structure of human eye. (b) Explain how to correct myopia and hyperopia. (c) Sketch a microscope system and explain why the location of a magnified image is always designed to be at near point of users eye.

(vi) (a) Determine the principal planes of a thick lens based on the ray paths shown in the figure below.












(b) When the principal planes of a thick lens are located, show that the fundamental lens equation () will be held. (Note: you may use the ray diagram based on the figure below) fss1'11..






2. (20 pts.) Consider a three-lens imaging system shown below.





Note: L1 and L3 are two positive lens. L2 is a negative lens. AS is the aperture stop of the system. Fraunhofer D-, F- and C- spectral lines: The wavelengths of D-, F- and C- spectral lines are 589.2 nm, 486.1 nm and 656.3 nm, respectively.

(i) Design three realistic lenses (L1, L2 and L3) of focal lengths displayed in the figure above at center of visible light. (Hints: Select one of glasses with refractive index shown in the figure below and read out the refractive index at Fraunhofer D-line from the figure; Choose the lens thickness by yourself.)

(ii) Calculate the system matrix (M) and verify Det (M) =1.

(iii) Find the locations of the principal planes.

(iv) Locate the image and determine the magnification of the object shown. (Hint: B=0 indicates that input and output planes are conjugate.)

(v) Locate the entrance and exit pupils assuming the diaph