Theory and computation towards coherent reflection imaging of tilted objects

  • I. A. Artyukov
  • A. N. Mitrofanov
  • A. V. Popov
  • N. L. Popov
  • A. V. Vinogradov
Part of the Springer Proceedings in Physics book series (SPPHY, volume 136)


The goal of this study is to develop a theoretical basis for lensless coherent imaging in the reflection mode. To describe the wave field produced by a reflective obliquely illuminated object we introduce the tilted object integral (TOI) which is the extension of Fresnel propagation integral (FI) used in the theory of coherent transmission mode imaging. The properties of TOI are studied analytically and numerically in 2D and 3D geometries for various field distributions at the surface of a tilted object. The considerable difference between TOI and FI is observed and explained at small grazing angles of object illumination.


Wave Field Object Plane Detector Distance High Harmonic Generator Spatial Harmonic 
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Copyright information

© Canopus Academic Publishing Limited 2011

Authors and Affiliations

  • I. A. Artyukov
    • 1
  • A. N. Mitrofanov
    • 1
  • A. V. Popov
    • 1
  • N. L. Popov
    • 1
  • A. V. Vinogradov
    • 1
  1. 1.Lebedev Physical InstituteMoscowRussia

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