Goos-Hänchen and Imbert-Fedorov shifts of a nondiffracting Bessel beam

Optics Letters

Volumn 36, Issue 4, 2011, Pages 543-545

  Aiello, Andrea ^a,b   Woerdman, J P ^c  

^a MAX PLANCK INSTITUTE FOR THE SCIENCE OF LIGHT   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^c LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BEFORE AND AFTER; BESSEL BEAM; DIELECTRIC INTERFACE; FREE SPACE; GEOMETRIC OPTICS; NONDIFFRACTING;

BESSEL FUNCTIONS; GAUSSIAN NOISE (ELECTRONIC); LASER BEAMS;

GAUSSIAN BEAMS;

EID: 79952229033     PISSN: 01469592     EISSN: 15394794     Source Type: Journal    
DOI: 10.1364/OL.36.000543     Document Type: Article

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26. The point here is rather subtle. The actual reason why we can predict the existence of an angular shift is because, in our calculations, we use the rigorous definition of a Diracdelta distribution as a kind of limit of a sequence of regular functions (specifically, Gaussian functions). Conversely, a straightforward (and formally incorrect) symbolic manipulation of products of Dirac-delta singularities would lead to the absence of such a shift.
27. A. Aiello and J. P. Woerdmanare preparing a manuscript to be called "Goos-Haenchen and Imbert-Fedorov shifts of an arbitrary paraxial beam"