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The agile generation and control of multiple optical frequency modes combinedwith the realtime processing of multi-mode data provides access toexperimentation in domains such as optomechanical systems, optical informationprocessing, and multi-mode spectroscopy. The latter, specifically spectroscopyof spectral-hole burning (SHB), has motivated our development of a multi-modeheterodyne laser interferometric scheme centered around a software-definedradio platform for signal generation and processing, with development in anentirely open-source environment. A challenge to SHB is the high level of shotnoise due to the laser power constraint imposed by the spectroscopic sample.Here, we have demonstrated the production, detection, and separation ofmultiple optical frequency modes to the benefit of optical environment sensingfor realtime phase noise subtraction as well as shot noise reduction throughmulti-mode averaging. This has allowed us to achieve improved noise performancein low-optical-power interferometry. Although our target application is laserstabilization via SHB in cryogenic temperature rare-earth doped crystals, thesetechniques may be employed in a variety of different contexts.

Multi-mode Heterodyne Laser Interferometry Realized via Software Defined Radio