APPH E4114

Quantum and Nonlinear Photonics

Columbia University in the City of New York · UGRD · Fall 2026

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First half introduces microscopic origin of optical nonlinearities through formal derivation of nonlinear susceptibilities, emphasis on second- and third-order optical processes. Topics include Maxwell's wave equation, and nonlinear optical processes such as second-harmonic, difference frequency generation, four-wave mixing, and self-phase modulation, including various applications of processes such as frequency conversion, and optical parametric amplifiers and oscillators. Second half describes two-level atomic systems and quantization of electromagnetic field. Descriptions of coherent, Fock, and squeezed states of light discussed and techniques to generate such states outlined

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Class #columbia_in_city_new_york-APPHE4114Fall 2026UGRD3.00 credits
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