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    Area of Science:

    • Spectroscopy
    • Optical Engineering
    • Instrument Science

    Background:

    • Spatial heterodyne spectroscopy (SHS) offers high spectral resolution capabilities.
    • Detector array alignment is critical for maintaining SHS system performance.
    • Misalignment can significantly degrade spectral resolution.

    Purpose of the Study:

    • To develop theoretical models for analyzing detector array alignment errors in SHS systems.
    • To quantify the impact of different alignment errors on spectral resolution.
    • To establish acceptable tolerance limits for these errors.

    Main Methods:

    • Development of theoretical models for three types of alignment errors: slope, tilt, and rotation.
    • Analysis of the influence of these errors on spectral resolution.
    • Simulation experiments to validate the theoretical models and determine error tolerances.

    Main Results:

    • Theoretical models were established to analyze slope, tilt, and rotation errors.
    • Tolerance angles for acceptable alignment were determined for each error type.
    • Simulation results indicate that slope and tilt errors below 1.21° and rotation errors below 0.066° are acceptable.

    Conclusions:

    • Detector array alignment is a critical factor for achieving high spectral resolution in SHS.
    • The presented models and tolerance angles provide guidelines for SHS system design and alignment.
    • Maintaining alignment within the specified tolerances is essential for reliable SHS performance.