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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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    This experiment successfully generated two parallel frequency sidebands for Advanced LIGO (aLIGO), preventing signal interference. The Mach-Zehnder interferometer stabilized arm lengths using Rubidium Titanyl Phosphate (RTP) electro-optic modulators.

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    Area of Science:

    • Gravitational wave detection
    • Optical interferometry
    • Quantum optics

    Background:

    • Advanced LIGO (aLIGO) requires precise control of multiple frequency sidebands to accurately measure interferometer length signals.
    • Existing methods for generating sidebands can lead to unwanted signal mixing, complicating data analysis.

    Purpose of the Study:

    • To demonstrate a risk reduction experiment for generating two distinct sets of frequency sidebands in parallel for aLIGO.
    • To avoid the issue of mixed 'sidebands on sidebands' in the interferometer's optical signals.

    Main Methods:

    • Utilized a Mach-Zehnder interferometer with separate Electro-Optic Modulators (EOMs) in each arm.
    • Applied two distinct phase modulation frequencies to the EOMs.
    • Stabilized the interferometer's arm lengths by using Rubidium Titanyl Phosphate (RTP) EOM crystals as feedback-controlled actuators to minimize optical path length differences and relative intensity noise.

    Main Results:

    • Successfully produced two sets of frequency sidebands in parallel, as intended.
    • Achieved sufficient bandwidth in the feedback control system using RTP crystals to meet aLIGO's arm length stability requirements.
    • Demonstrated the avoidance of mixed 'sidebands on sidebands' by separating the modulation frequencies.

    Conclusions:

    • The presented experimental setup provides a viable method for generating clean, parallel frequency sidebands essential for advanced gravitational wave detectors like aLIGO.
    • The use of RTP crystals as length actuators offers a high-bandwidth solution for stabilizing interferometer arms, crucial for noise reduction.
    • This approach mitigates a significant technical challenge in aLIGO's signal extraction, paving the way for improved sensitivity.