On the fundamental theorem of diffraction tomography

Emil Wolf

doi:10.1117/12.2308674

23 July 1993 On the fundamental theorem of diffraction tomography

Emil Wolf

Proceedings Volume 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology; 198373 (1993) https://doi.org/10.1117/12.2308674
Event: 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 1993, Budapest, Hungary

Abstract

Exact solutions for the focusing of 2D electromagnetic waves through a slit in a perfectly conducting screen are given in a companion paper.1 In this paper, various approximate solutions are compared with the exact solutions to test the validity of each approximate theory. The approximate theories considered are first of all those based on either the Kirchhoff or the Debye approximation. But in addition a more accurate theory is examined, in which only the multiply diffracted waves between the edges of the slit are neglected. In this case the slit problem is treated as two independent half-plane problems and their exact solutions are added. For brevity we consider only the scalar case corresponding to an incident E-field polarised parallel to the edges of the slit.

Citation Download Citation

Emil Wolf "On the fundamental theorem of diffraction tomography", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 198373 (23 July 1993); https://doi.org/10.1117/12.2308674

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