Nonlinear optics

Defying Abbe's law

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By using propagation in a nonlinear medium, several spatial modes and photons can be simultaneously interacted spatially. This enables the conventional laws of imaging, which are based on linear propagation theory, to be bent.

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Figure 1: Illustration showing that the diffraction-related resolution limit is basically a signal-to-noise-ratio limitation.

References

  1. 1

    Abbe, E. Archiv für Mikroskopische Anatomie 9, 413–418 (1873).

  2. 2

    Zalevsky, Z. & Mendlovic, D. Optical Superresolution (Springer, 2004).

  3. 3

    Gur, A., Fixler, D., Micó, V., Garcia, J. & Zalevsky, Z. Opt. Express 18, 22222–22231 (2010).

  4. 4

    Betzig, E., Lewis, A., Harootunian, A., Isaacson, M. & Kratschmer, E. Biophys. J. 49, 269–279 (1986).

  5. 5

    Mudry, E. et al. Nature Photon. 6, 312–315 (2012).

  6. 6

    Bailey, B., Farkas, D. L., Taylor, D. L. & Lanni, F. Nature 366, 44–48 (1993).

  7. 7

    Schmidt, R. et al. Nat. Methods 5, 539–544 (2008).

  8. 8

    Betzig, E. et al. Science 313, 1642–1645 (2006).

  9. 9

    Barsi, C. & Fleischer, J. W. Nature Photon. 7, 639–643 (2013).

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Correspondence to Zeev Zalevsky.

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Zalevsky, Z. Defying Abbe's law. Nature Photon 7, 593–594 (2013) doi:10.1038/nphoton.2013.211

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