We present a general theory of electromagnetic diffraction-free beams composed of uncorrelated Bessel modes. Our approach is based on the direct application of the nonnegativity constraint to the cross-spectral density tensor describing the electromagnetic field distribution. The field correlation properties are most conveniently derived in the spatial frequency domain, where the angular spectrum takes on the form of an infinitely thin ring. We also present several examples, including a vector generalization of the recently introduced dark and antidark diffraction-free beams.
© 2009 Optical Society of America
Coherence and Statistical Optics
Original Manuscript: July 16, 2009
Manuscript Accepted: September 9, 2009
Published: October 5, 2009
Riccardo Borghi, Franco Gori, and Sergey A. Ponomarenko, "On a class of electromagnetic diffraction-free beams," J. Opt. Soc. Am. A 26, 2275-2281 (2009)