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2011-04-12

Driving a Dielectric Cylindrical Particle with a One Dimensional Airy Beam: a Rigorous Full Wave Solution

By Wanli Lu, Jun Chen, Zhifang Lin, and Shiyang Liu
Progress In Electromagnetics Research, Vol. 115, 409-422, 2011
doi:10.2528/PIER11031704

Abstract

We present a rigorous full wave calculation of the optical force on a dielectric cylindrical particle of an arbitrary size under the illumination of one dimensional (1D) Airy beam. The radiation force is written in terms of the cylindrical partial wave expansion coefficients of the non-paraxial 1D Airy beams. Our simulation results demonstrate that an Airy beam can accelerate the microparticles along its parabolic trajectory, while transverse to which the particles are trapped at the center of its main lobe, corroborating the possibility of the long distance particle transport by means of an Airy beam.

Citation


Wanli Lu, Jun Chen, Zhifang Lin, and Shiyang Liu, "Driving a Dielectric Cylindrical Particle with a One Dimensional Airy Beam: a Rigorous Full Wave Solution," Progress In Electromagnetics Research, Vol. 115, 409-422, 2011.
doi:10.2528/PIER11031704
http://www.jpier.org/PIER/pier.php?paper=11031704

References


    1. Berry, M. V. and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys., Vol. 47, 264-267, 1979.
    doi:10.1119/1.11855

    2. Unnikrishnan, K. and A. R. P. Rau, "Uniqueness of the Airy packet in quantum mechanics," Am. J. Phys., Vol. 64, 1034-1035, 1996.
    doi:10.1119/1.18322

    3. Siviloglou, G. A. and D. N. Christodoulides, "Accelerating finite energy Airy beams," Opt. Lett., Vol. 32, 979-981, 2007.
    doi:10.1364/OL.32.000979

    4. Siviloglou, G. A., J. Broky, A. Dogariu, and D. N. Christodoulides, "Observation of accelerating airy beams," Phys. Rev. Lett., Vol. 99, 213901, 2007.
    doi:10.1103/PhysRevLett.99.213901

    5. Durnin, J., "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A, Vol. 4, 651-654, 1987.
    doi:10.1364/JOSAA.4.000651

    6. Durnin, J., J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett., Vol. 58, 1499-1501, 1987.
    doi:10.1103/PhysRevLett.58.1499

    7. Gutiérrez-Vega, J. C., M. D. Iturbe-Castillo, and S. Chávez-Cerda, "Alternative formulation for invariant optical fields: Mathieu beams," Opt. Lett., Vol. 25, 1493-1495, 2000.
    doi:10.1364/OL.25.001493

    8. McGloin, D. and K. Dholakia, "Bessel Beams: Diffraction in a new light," Contemp. Phys., Vol. 46, 15-28, 2005.
    doi:10.1080/0010751042000275259

    9. Turunen, J. and A. T. Friberg, Progress of Optics, Elsevier, Amsterdam, 2009.

    10. Baumgartl, J., M. Mazilu, and K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nature Photonics, Vol. 2, 675-678, 2008.
    doi:10.1038/nphoton.2008.201

    11. Ashkin, A., "Acceleration and trapping of particles by radiation pressure," Phys. Rev. Lett., Vol. 24, 156-159, 1970.
    doi:10.1103/PhysRevLett.24.156

    12. Ashkin, A., J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, "Observation of a single-beam gradient force optical trap for dielectric particles," Opt. Lett., Vol. 11, 288-290, 1986.
    doi:10.1364/OL.11.000288

    13. Ashkin, A., Optical Trapping and Manipulation of Neutral Particles Using Lasers, World Scientific, Singapore, 2006.
    doi:10.1142/9789812774897

    14. Shiri, A. and A. Shoulaie, "A new methodology for magnetic force calculations between planar spiral coils," Progress In Electromagnetics Research, Vol. 95, 39-57, 2009.
    doi:10.2528/PIER09031608

    15. Ravaud, R., G. Lemarquand, V. Lemarquand, S. Babic, and C. Akyel, "Mutual inductance and force exerted between thick coils," Progress In Electromagnetics Research, Vol. 102, 367-380, 2010.
    doi:10.2528/PIER10012806

    16. Garces-Chavez, V., D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature, Vol. 419, 145-147, 2002.
    doi:10.1038/nature01007

    17. Ng, J., Z. F. Lin, and C. T. Chan, "Theory of optical trapping by an optical vortex beam," Phys. Rev. Lett., Vol. 104, 103601, 2010.
    doi:10.1103/PhysRevLett.104.103601

    18. Besieris, I. M. and A. M. Shaarawi, "A note on an accelerating finite energy Airy beam," Opt. Lett., Vol. 32, 2447-2449, 2007.
    doi:10.1364/OL.32.002447

    19. Siviloglou, G. A., J. Broky, A. Dogariu, and D. N. Christodoulides, "Ballistic dynamics of Airy beams," Opt. Lett., Vol. 33, 207-209, 2008.
    doi:10.1364/OL.33.000207

    20. Novitsky, A. V. and D. V. Novitsky, "Nonparaxial Airy beams: role of evanescent waves," Opt. Lett., Vol. 34, 3430-3432, 2009.
    doi:10.1364/OL.34.003430

    21. Novotny, L. and B. Hecht, Principles of Nano-optics, Cambridge University Press, Cambridge, 2006.

    22. Mahillo-Isla, R., M. J. González-Morales, and C. Dehesa-Martínez, "Plane wave spectrum of 2D complex beams," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 8--9, 1123-1131, 2009.

    23. Vallée, O. and M. Soares, Airy Functions and Applications to Physics, World Scientific, Singapore, 2004.

    24. Lim, W.-G. and J.-W. Yu, "Scattering by a dielectric-loaded conducting wedgge with concaved dege: TE case," Progress In Electromagnetics Research, Vol. 89, 85-100, 2009.
    doi:10.2528/PIER08120501

    25. Sun, X. M., H. H. Wang, and H. Y. Zhang, "Scattering by an infinite cylinder arbitrarily illuminated with a couple of Gaussian beams," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 10, 1329-1339, 2010.
    doi:10.1163/156939310791958743

    26. Li, H.-Y., Z.-S. Wu, and L. Bai, "Scattering for charged multisphere structure located in plane wave/Gaussian beam," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 14--15, 2037-2047, 2010.

    27. Jackson, J. D., Classical Electrodynamics, 3rd Ed., 2004.

    28. Grzegorczyk, T. M. and J. A. Kong, "Analytical expression of the force due to multiple TM plane-wave inciddences on an infinite lossless dieletric circular cylinder of arbitrary size," J. Opt. Soc. Am. B, Vol. 24, 644-652, 2007.
    doi:10.1364/JOSAB.24.000644

    29. Broky, J., G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, "Self-healing properties of optical Airy beams," Opt. Express, Vol. 16, 12880-12891, 2008.
    doi:10.1364/OE.16.012880