本研究初步建立一套貝索光鉗系統，從這套系統中可以驗證貝索光束的特殊性質—自我修復的功能。此外，這套系統也可以導引微粒子超過1毫米的距離，此長度已超越雷利範圍（Rayleigh range）的10倍以上。再者，本研究中將5μm PMMA微粒子放在不同尺寸容器內以研究不同容器尺寸與粒子導引速度間的關係。最後，亦發現系統中雷射輸入功率在低於300mW時與粒子導引速度間存在著一線性關係。盼望藉由本基礎研究可提供更多貝索光鉗的資訊和方法，俾能激發更多新想法以供未來進一步的研究。

In this research, a Bessel tweezers system has been constructed successfully. One can demonstrate one of the remarkable properties of the Bessel beam—self reconstruction. Moreover, the Bessel tweezers system can also be used to guide micro-sized particles over 1mm, which is over 10 times the Rayleigh range. Furthermore, 5μm PMMA paticles are put in different dimensional cuvettes and the relationships between the guiding velocities and the dimensions of the cuvette are investigated. Finally, it is also found that the guiding velocities vary in a linear way with the laser input power which is below 300mW. This basic study is expected to provide the information and method to stimulate new research in the future.

[1] A. Ashkin, ”Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett., vol. 24, pp. 156-159, 1970.
[2] A. Ashkin, “Trapping of atoms by resonance radiation pressure,” Phys.
Rev. Lett., vol. 40, pp. 729-732, 1978.
[3] A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm and S. Chu, “Observation of a
single-beam gradient force optical trap for dielectric particle,” Opt. Lett.,
vol. 11, pp. 288-290, 1986.
[4] C. T. Lim, C. Dao, S. Suresh, C. H. Sow and K. T. Chew, “Large
deformation of living cells using laser traps,” Acta Materialia, vol. 52, pp.
1837-1845, 2003.
[5] Z. Li, B. Anvari, M. Takashima, P. Brecht, J. H. Torres and W. E.
Brownell, “Membrane tether formation from outer hair cells with
optical tweezers,” Biophysical Journal, vol. 82, pp.1386-1395, 2002.
[6] H. Felgner, F. Grolig, O. Muller and M. Schliwa, “In vivo manipulatoin
of internal cell organelles,” Methods in Cell Biology, vol. 55, pp.195-203,
1998 .
[7] A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric
sphere in the ray optics regime,” Biophys. J., vol. 61, pp. 569-582,
1992.
[8] A. Ashkin, “Optical trapping and manipulation of neutral particles using
lasers,” Proc. Natl. Acad. Sci. USA, vol. 94(10), pp. 4853- 4860, 1997.
[9] W.H. Wright, G.J. Sonek, M.W. Berns, “Parametric study of the forces on microspheres held by optical tweezers,” Appl. Opt., vol.33, pp.1735-1748
, 1994.
[10] E. F□llman and O. Axner, “Design for a fully steerable dual-trap optical
tweezers,” Appl. Opt., vol. 32, pp. 2107-2113, 1997.
[11] A. Ashkin, “Methods cell biology,” vol. 55, pp. 1-27, 1998.
[12] J. E. Curtis, B. A. Koss and D. G. Grier,” Dynamic holographic optical tweezers,” Opt. Commun. vol. 207, pp.169-175, 2002.
[13] D. J. Odde and M. J. Renn, “Laser-guided direct writing for applications in biotechnology,” Trends in Biotechnol., vol. 17, pp. 385–389, 1999.
[14] M. J. Renn and R. Pastel, “Particle manipulation and surface patterning by laser guidance,” J. Vacuum Sci. Technol. B, vol. 16, pp. 3859–3863, 1998.
[15] M. J. Renn, D. Montgomery, O. Vdovin, D. Z. Anderson, C. E.Wieman and E. A. Cornell, “Laser-guided atoms in hollow-core optical fibers,” Phys. Rev. Lett., vol. 75, pp. 3253–3256, 1995.
[16] D. J. Odde and M. J. Renn, “Laser-guided direct writing of living cells,” Biotechnol. and Bioeng., vol. 67, pp. 312–318, 2000.
[17] J. Durnin, J.J. Miceli and J.H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. , vol. 58, pp. 1499 – 1501, 1987.
[18] G. Scott and N. McArdle, “Efficient generation of nearly diffraction-free
beams using an axicon,” Opt.Eng. 31, pp.2640-2643, 1992.
[19] J. Turunen, A. Vasara and A.T. Friberg, “Holographic generation of
diffraction-free beams,” Appl. Opt. 27, pp. 3959-3962, 1988.
[20] W.X. Cong and N. X. Chen, “Generation of nondiffracting beams by
diffractive phase elements,” J. Opt. Soc. Am. A 15(9), pp. 2362-2364,
1998.
[21] J.A. Davis, J. Guertin and D.M. Cottrell, Appl. Opt. 32, pp. 6368, 1993.
[22] J. Arlt, V. Garces-Chavez, W. Sibbett and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Optics Communications, vol. 197, pp.239-245, 2001.
[23] Z. Bouchal, J. Wagner and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Optics Communications, vol. 151, pp. 207-211, 1998.
[24] A.T. O'Neill and M.J. Padgett, “Axial and lateral trapping efficiency of Laguerre-Gaussian modes in inverted optical tweezers,” Optics Communications, vol. 193, pp.45-50, 2001
[25] A. Thaning, Z. Jaroszewicz and A.T. Friberg, “Diffractive axicons
in oblique illumination: analysis and experiments and comparison with
elliptical axicons,” Appl. Opt. vol. 42, pp.9 – 17, 2003.
[26] Z. Bin and L. Zhu, “Diffraction property of an axicon in oblique
illumination,” Appl. Opt., vol. 37, pp. 2563 – 2568, 1998.
[27] T. Tanaka and S. Yamamoto, “Comparison of aberration between
axicon and lens ,” Opt. Commun., vol. 184, pp.113 – 118, 2000.
[28] K.C Neuman, “Characterization of photodamage to escherichia coli in optical traps,” Biophys J, vol. 77, pp. 2856-2863, 1999.
[29] A. Ashkin and J.M. Dziedzic, “Optical trapping and manipulation of viruses and bacteria,” Science, vol. 235, pp. 1517-1520, 1987.
[30] H. Schneckenburger, “Cell viability in optical tweezers: high power red laser diode versus Nd:YAG laser,” J. Biomed Opt., vol. 5, pp. 40-44, 2000.
[31] D. Mcgloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemporary Physics, vol. 46, pp. 15-28, 2005.
[32] 林易澤、魏明達, ”光束經軸稜錐透鏡的傳播特性與應用”, 逢甲大學碩士論文, pp.22, 2003.
[33] S.A. Tatarkova, W. Sibbett, and K. Dholakia, “Brownian particle in an
optical potential of the washboard type,” Physical Review Letters, vol.
91, pp. 038101-1~4, 2003.
[34] H. Little, C.T.A. Brown, V. Garc□s-Ch□vez, W. Sibbett and K. Dholakia, “Optical guiding of microscopic particles in femtosecond and continuous wave Bessel light beams,” Optical Express, vol. 12, pp.2560-2565, 2004.
[35] V. Garc□s-Ch□vez, D. Roskey, M. D. Summers, H. Melville, D.
McGloin, E. M. Wright and K. Dholakia “Optical levitation in a Bessel light beam,” Applied Physics Letters, Vol. 85, pp. 4001-4003, 2004.
[36] http://webexhibits.org/causesofcolor/5B.html