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    Area of Science:

    • Optical metrology
    • Prism-based measurements
    • Surface analysis

    Background:

    • Internal-reflection metrology often requires precise laser footprint positioning on prism surfaces.
    • Visual inspection for laser footprints is challenging with invisible near-infrared radiation.
    • Maintaining a stationary footprint during angular scans or automated probing is difficult with standard setups.

    Purpose of the Study:

    • To develop a formulation for calculating prism translation needed to maintain a stationary laser footprint during rotation.
    • To enable precise metrology with invisible radiation and facilitate advanced experimental designs.
    • To create a practical tool for optical engineers and researchers.

    Main Methods:

    • Formulation of geometric and kinematic relationships for prism translation and rotation.
    • Development of a web-based application to implement the derived formulation.
    • Testing the approach with common optical glasses (silica, BK7, SF2) across a broad wavelength range (500-1500 nm).

    Main Results:

    • A precise mathematical model was derived to determine the necessary linear translation of a prism to counteract rotational movement for a fixed laser footprint.
    • The developed web application successfully demonstrated the method's applicability for various glass types and wavelengths.
    • The formulation is adaptable to arbitrary prism geometries.

    Conclusions:

    • The proposed method and accompanying web app provide a robust solution for stationary laser footprint positioning in internal-reflection metrology.
    • This facilitates experiments using invisible infrared radiation and enables automated, precise surface probing.
    • The tool enhances the capabilities of optical metrology systems involving prisms.