Calculation of optical forces in Bessel beam

For the purposes of fast estimation of the optical forces acting on the microobject placed in Bessel beam we develop an algorithm based on the Lorenz-Mie scattering theory. We considered a vectorial form of the Bessel beam created behind the axicon but we assumed that the created beam has a form of ideal Bessel beam. Using this assumption we get analytical forms for single Bessel beam. This beam is composed of plane waves with wavevectors covering the surface of a cone. Therefore calculation of the optical forces using the Barton's method is straightforward and relatively fast to compute.

The calculations can be easily extended to co-propagating or counter-propagating beams and we used it  to predict orto  verify  the experimental object behaviour.

All the necessary details about the theory are summarized in the following papers

T. Cizmar, V. Kollarova, Z. Bouchal, P. Zemanek: "Sub-micron particle organization by self-imaging of non-diffracting beams",
       New Journal of Physics 8, 43:1-23, 2006,  LINK TO JOURNAL  ABSTRACT   DOWNLOAD   MULTIMEDIA 

T. Cizmar, M. Siler, P. Zemanek: "An optical nanotrap array movable over a milimetre range",
       Appl. Phys. B 84, 197-203, 2006,   ABSTRACT   DOWNLOAD

and conference proceedings

T. Cizmar, V. Garces-Chavez, K. Dholakia, P. Zemanek: "Optical conveyor belt for delivery of sub-micron objects",
       Proceedings of SPIE 6180, 618027:1-7, 2006, Photonics, Devices and Systems III, Praha(CZ), 8-11 June 2005,   ABSTRACT

T. Cizmar, V. Garces-Chavez, K. Dholakia, and P. Zemanek: "Optical conveyor belt based on Bessel beams",
       Proceedings of SPIE 5930, 0X1-0X7, 2005,   ABSTRACT   DOWNLOAD

T. Cizmar, V. Garces-Chavez, K. Dholakia, P. Zemanek: "Optical trapping in counter-propagating Bessel beams",
       Proceedings of SPIE 5514, 643-651, 2004,   ABSTRACT   DOWNLOAD

T. Cizmar, V. Kollarova, M. Siler, P. Jakl, Z. Bouchal, V. Garces-Chavez, K. Dholakia, P. Zemanek: "Non-diffracting beam synthesis used for optical trapping and delivery of sub-micron objects",
       Proceedings of SPIE 6195, 619507:1-7, 2006, Nanophotonics, Strasbourg(FR), 3-5 Apr 2006,   ABSTRACT       DOWNLOAD

and Ph.D thesis

T. Cizmar : "Optical traps generated by non-traditional beams" Ph.D. Thesis, Masaryk University, Faculty of Science. Brno. 2006. DOWNLOAD

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Last modification: 30 Mar 2007