August 11, 2025Optics ContinuumOpen Access

Mathematical foundations of 2-dimensional diffraction: a biquaternionic approach

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Theoretical framework unifies 2-dimensional diffraction analysis using biquaternions, suggesting advanced methods.

The proposed biquaternionic approach offers new insights into 2D diffraction, enhancing understanding of light behavior.
Key formulas include the biquaternionic Fresnel-Kirchhoff diffraction formula and Rayleigh-Sommerfeld diffraction formula.
This work develops a rigorous mathematical framework based on the 2D integral theorem of Helmholtz and Kirchhoff.
Advantages over traditional methods include a more eloquent and compact representation of the diffraction process.

Rosa et al. (2025) studied this question.

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