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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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In IR spectroscopy, signals produced by the X−H bonds (such as C−H, O−H, or N−H) can be observed in the frequency range of  2700–4000 cm–1. The C−H stretching vibration forms sharp bands in the region 2850–3000 cm–1. The presence of the O−H stretching vibration leads to the forming of an absorption band in the frequency range 3650–3200 cm−1. At the same time, N−H stretching can be confirmed by absorption bands in...
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Optical-Comb-Based Frequency Stability Transfer Across the Spectrum With a Multichannel FPGA.

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    This study presents a digital system using an optical frequency comb to transfer ultrastable laser properties to multiple lasers simultaneously. This robust method achieves high coherence transfer for applications like optical clocks and quantum simulations.

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    Area of Science:

    • Atomic, Molecular, and Optical Physics
    • Quantum Optics
    • Laser Physics

    Background:

    • Optical frequency combs are crucial for transferring spectral properties of ultrastable lasers to different wavelengths.
    • Existing methods often require individual laser stabilization and complex setups.
    • Simultaneous multi-laser locking presents a significant technical challenge.

    Purpose of the Study:

    • To develop and demonstrate a digital locking system for simultaneous multi-laser stabilization using an optical frequency comb.
    • To enable robust and independent transfer of coherence from a reference oscillator to multiple lasers.
    • To showcase the system's capability in supporting advanced applications like optical clock ensembles.

    Main Methods:

    • Utilized a digital locking system to synchronize up to six lasers to a single reference oscillator via an optical frequency comb.
    • Operated the system in a broad-linewidth regime without requiring pre-stabilization of the target lasers.
    • Transferred coherence from a Yb optical lattice clock laser (1156 nm) to lasers in the 1550 nm region.

    Main Results:

    • Achieved simultaneous and independent locking of multiple lasers to a high-performance reference oscillator.
    • Demonstrated short-term instability lower than 10⁻¹⁴ at 1 second, even in the broad-linewidth regime.
    • Successfully transferred coherence to a laser used for long-distance fiber frequency dissemination with minimal instability.

    Conclusions:

    • The digital locking system offers a robust, reconfigurable, and modular approach for multi-laser stabilization.
    • This technology minimizes setup complexity and hardware-induced effects, enabling seamless upgrades.
    • The system is well-suited for applications demanding multiple ultrastable lasers, including optical clock networks, spectroscopy, and quantum simulation.