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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Related Experiment Video

Updated: Jun 13, 2025

Implementation of a Reference Interferometer for Nanodetection
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Slow-wave-enhanced on-chip Michelson interferometer sensor: erratum.

Jianhao Shen, Daniel Donnelly, Swapnajit Chakravarty

    Optics Letters
    |September 13, 2024
    PubMed
    Summary

    This study corrects the designation of an on-chip sensor, now identified as a slow wave enhanced loop-terminated Mach-Zehnder interferometer. This advanced sensor demonstrates significantly higher phase sensitivity for improved refractive index sensing applications.

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    Area of Science:

    • Photonics
    • Optical Sensing
    • Nanotechnology

    Background:

    • Previous research introduced an on-chip sensor, initially misidentified as a Michelson interferometer.
    • The device utilizes slow light enhancement within photonic crystal waveguides.
    • Asymmetric loop-terminated Mach-Zehnder interferometer (LT-MZI) structures were previously explored for enhanced sensitivity.

    Purpose of the Study:

    • To accurately designate the sensor as a slow wave enhanced on-chip loop-terminated Mach-Zehnder interferometer (LT-MZI).
    • To highlight the significant improvements in phase sensitivity achieved with the corrected sensor design.
    • To establish a benchmark for high-sensitivity refractive index sensing using integrated photonic devices.

    Main Methods:

    • Experimental demonstration of slow wave enhanced phase and spectral sensitivity.
    • Utilizing photonic crystal waveguides for slow light enhancement.
    • Comparison with standard Mach-Zehnder interferometers (MZI) of identical dimensions.

    Main Results:

    • The on-chip LT-MZI sensor achieved an experimentally demonstrated phase sensitivity of 277,750 rad/RIU-cm.
    • Theoretical phase sensitivity reached up to 461,810 rad/RIU-cm.
    • This represents a substantial increase compared to standard MZIs (84,000 rad/RIU-cm) at the same form factor.

    Conclusions:

    • The corrected designation of the sensor as an LT-MZI is crucial for understanding its performance.
    • The slow light enhancement in LT-MZI sensors offers superior phase sensitivity for refractive index sensing.
    • This technology holds promise for advanced, compact optical sensing applications.