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Analysis and Characterization of Alignment for Free-Space Optical Interconnects Based on Singular-Value Decomposition

Summary

We propose a theoretical method to analyze and characterize the alignment of optical systems by using singular value decomposition (SVD) technique. SVD-based mathematical approach has the potential to be the foundation on which complex optical systems where tremendous number of parameters are specifying the property of alignment are analyzed as well as providing an useful design criterion for deriving optimum optical systems. One application is to identify critical parameters for alignment systematically when aligning two-dimensional device arrays. Other example is to characterize the sensitivity or accuracy of detection capability of misalignment based on the ratio of the singular values of optical system. The information obtained through SVD-based techniques can be applied to construct optical systems where attention is carefully paid to critical parameters so that the alignment of the overall system is properly satisfied.

SVD alignment

References

  1. M. Naruse and M. Ishikawa, Analysis and Characterization of Alignment for Free-Space Optical Interconnects Based on Singular-Value Decomposition, Applied Optics, Vol. 39, No, 2, pp. 293-301, 2000.
  2. Makoto Naruse, and Masatoshi Ishikawa: A theoretical and experimental analysis of active alignment based on singular value decomposition, 1997 International Topical Meeting on Optics in Computing (Lake Tahoe, 1997.3.20)/Technical Digest, pp.230-232
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