Analysis and characterization of alignment for free-space optical interconnects based on singular-value decomposition

Area of Science:

• Optics and Optical Engineering
• Computational Physics
• System Analysis

Background:

• Accurate alignment is crucial for optical system performance.
• Current methods for alignment analysis can be complex and lack systematic characterization.
• Identifying critical alignment parameters and assessing detection sensitivity is essential.

Purpose of the Study:

• To propose a novel theoretical framework for analyzing and characterizing optical system alignment.
• To demonstrate the utility of singular-value decomposition (SVD) in optical alignment.
• To provide a systematic approach for identifying critical alignment parameters and evaluating misalignment detection capabilities.

Main Methods:

• Development of a theoretical method based on singular-value decomposition (SVD).
• Application of SVD to analyze the alignment of optical systems.
• Systematic identification of critical alignment parameters for two-dimensional device arrays.
• Characterization of misalignment detection sensitivity and accuracy using singular values.

Main Results:

• The proposed SVD-based method provides a robust framework for optical alignment analysis.
• Critical parameters for aligning two-dimensional device arrays can be systematically identified.
• The sensitivity and accuracy of misalignment detection can be quantitatively evaluated through singular values.
• SVD offers critical insights into the overall analysis of optical system alignment.

Conclusions:

• Singular-value decomposition offers a powerful theoretical tool for optical system alignment.
• This method enhances systematic analysis and characterization of alignment processes.
• The approach provides valuable metrics for assessing alignment accuracy and detection sensitivity.