Quiz 1 - (b) A thick lens is formed with two spherical...

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Quiz 1 (Total: 5 points + 1 points bonus) March 7, 2008 1. (1.5 pts.) What is wave-particle duality of light? Describe two experiments to show that light has wave-particle duality. 2. (1 pts.) A Ray of yellow light from sodium discharge lam falls on the surface of a diamond in air at 45 ° . If at that frequency n diamond =2.42, compute the angular deviation suffered upon transmission. 3. (1.5 pts.) (a) Under paraxial ray approximation, show that the Gaussian imaging formula for a spherical interface between a medium of refractive index n and one of refractive index n’ is R n n s n s n i o = + ' ' . (Here s o , s i and R are objective distance, image distance and radius of spherical interface, respectively)
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Unformatted text preview: (b) A thick lens is formed with two spherical surfaces. Determine the principal planes of a thick lens based on the ray paths shown in the figure below. 4. (2 pts.) A two-lens system is shown in figure below. Assume that focal lengths of two lenses, f 1 and f 2 , and the separation distance between the lenses, q , are known. (a) Write ABCD matrix of the system. (b) Find out the locations of first and second focal points of the two-lens system. (Thin lens and translation matrices are ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 1 1 1 f and , respectively) ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 1 1 L r s q f 1 f 2 Input plane Output plane...
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