The synthesis of diffraction-free fields with different profiles is described. The synthesis is done by illuminating a screen containing a circular slit with a cosine beam. The treatment is equivalent to the modulation of the slit transfer characteristics and makes possible a tunable interference interaction of Bessel beams with noncommon axes. These results are generalized, and it is shown that coherent diffraction-free fields with arbitrary profiles can be expressed as the superposition of shifted zero-order Bessel beams and temporary parametric representations of the shifted functions. Diffraction-free fields with partially coherent features can be obtained. Experimental results are shown for each case.
© 2004 Optical Society of America
Original Manuscript: April 1, 2003
Revised Manuscript: November 7, 2003
Manuscript Accepted: November 14, 2003
Published: April 1, 2004
Gabriel Martı́nez-Niconoff, Julio C. Ramı́rez-San-Juan, Patricia Martı́nez-Vara, Adrián Carbajal-Domı́nguez, and Andrei S. Ostrovsky, "Generation of partially coherent diffraction-free fields with tunable geometry," J. Opt. Soc. Am. A 21, 546-551 (2004)