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This lecture covers the concept of homodyne detection in optomechanics, explaining the modulation of cavity frequency by mechanical motion, the role of modulation sidebands, and the limitations of diode rectification. The instructor discusses how homodyne detection addresses these issues by optimizing the 'homodyne angle' and using mixers in the microwave domain. The lecture delves into amplitude and phase modulation, the math behind modulation sidebands, and the implementation of homodyne detection to recover signals. It concludes by highlighting the advantages of homodyne detection over traditional methods and provides code resources for further exploration.