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Unformatted text preview: 2.71/2.710 Optics Practice Exam 2 Spring ‘09 1. What is the Fraunhofer diffraction pattern of a 1-D slit of size a ? 2. What is the Fraunhofer diffraction pattern of this sinusoidal amplitude grating, where Λ is the grating period? 1 x f ( x ) = 1 + cos 2 π 2 Λ 3. How does the result of problem 2 change if the illumination is a plane wave incident at angle θ with respect to the optical axis? ( θ << 1) 4. What is the Fraunhofer pattern of this truncated sinusoidal amplitude grating? Assume that a >> Λ. 1 x x f ( x ) = 1 + cos 2 π rect 2 Λ a 5. What is the Fraunhofer diffraction pattern of two identical slits (width a ) separated by a distance d >> a ? 6. In the 4F system shown below, the sinusoidal transparency t ( x ) is illuminated by a monochromatic plane wave on-axis, at wavelength λ = 1 µ m. Describe quantitatively the fields at the Fourier plane ( x ) and the output plane ( x ) ....
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.710 taught by Professor Sebaekoh during the Spring '09 term at MIT.
- Spring '09