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Unformatted text preview: OPTI 280 Spring 2010 Lecture 13 R. Palit, 1 OPTI 280: Computer Programming Workshop Robin Palit College of Optical Sciences University of Arizona rpalit@optics.arizona.edu OPTI 280 Spring 2010 Lecture 13 R. Palit, 2 Lesson Plan Continuous Fourier Transform. Using the fft() command in MatLab. Applications of the Fourier Transform in optics. OPTI 280 Spring 2010 Lecture 13 R. Palit, 3 Fourier Analysis An important mathematical tool in science and engineering. Transformation of a signal in one domain (time or space) into the frequency domain. Provide shortcuts to computation of complicated sums and integrals and reveal hidden structure in data. Ptolemy decomposition of celestial orbits into cycles and epicycles. Pythagorus decomposition of music into consonances. OPTI 280 Spring 2010 Lecture 13 R. Palit, 4 Fourier Transform in Optics Fourier transform properties of a lens Electromagnetic waves Fourier Transform Spectroscopy Michelson Interferometer OPTI 280 Spring 2010 Lecture 13 R. Palit, 5 Continuous Fourier Transform Forward Fourier Transform (1D) f ( ) = f ( x )exp( 2 i x ) dx f (...
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 Spring '10
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