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An Update of Hopkins’ Analysis of the Optical Disc Player Using Singular-System Theory

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Progress in Industrial Mathematics at ECMI 2008

Part of the book series: Mathematics in Industry ((TECMI,volume 15))

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Summary

In this paper we describe a new approach to the analysis of scanning optical imaging systems which uses singular function expansions, rather than Fourier optics, to update the well-known low-aperture treatment of Hopkins of 1979 (J. Opt. Soc. Am. 69:4–24). This new approach can also be used to update the widely used theory of optical transfer functions for general imaging systems at arbitrary numerical apertures.

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References

  1. Bertero, M., Boccacci, P., Davies, R.E., Pike, E.R.: Inverse Probl. 7, 655–74 (1991)

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  2. Hopkins, H.: J. Opt. Soc. Am. 69, 4–24 (1979)

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  3. Hopkins, H.: Proc. R. Soc. Lond. A208, 263–277 (1951)

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Correspondence to Roy Pike .

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Pike, R. (2010). An Update of Hopkins’ Analysis of the Optical Disc Player Using Singular-System Theory. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_45

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