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identifier |t-H ܴ [D tǩ\ ȹtl\ ǐX ȴ2007 Y xYՀtTŐYP YMasterMaster's Thesis. l ĳٳɷD ɔ <\ L$ Laguerre Gaussian ܴ(mode)| ¬tXD t ttX, t| tǩX Ӭ(polystyrene) ȹtl\ l(microsphere)| ӍX ȴXՔ D \. ĳٳɷ@ [X XtXՔ @ٳɷ 첬 [X X x Xt\. Laguerre Gaussian ܴ tt (helical)<\ ,x D p t\0 ĳٳɷt 1. \ t\ tX Xt Gaussian ܴ@ -D 0D L Ƞ| t\ X -4 1.
Laguerre Gaussian ܴ )<\ 1 ̹ \<\ 0e (cylindrical lens)\ t踴 ܴ converter@ 0 1 @\(computer generated hologram)D tǩ\ )t . l 0 ¬tXD t 0 1 @\X (4(pattern)D . reactive ion etching)D t @\ | ȑX, t\0 Laguerre Gaussian ܴ| 1` .
Laguerre Gaussian ܴ@ Gaussian ܴ| -¤0 t ȹP- T(Mach-Zehnder)-Ĭ| l1X. -ĬX \ Ŕ @\ | $XX Laguerre Gaussian ܴ| 1, x \ս Ŕ Ǭ(glass plate)D P [X \ T| <\h -4| ¬ ĳ] X.
1 -4 Ɍ(optical tweezer) ¤\X <| t ǬX, t| CCD(charge coupled device)| t 0\ ǐ Ӎ D L . \ -4X Xt Ӎ ǐĳ XՔ D Ux` .;We have demonstrated an optical trapping and rotation of polystyrene microspheres with a Laguerre Gaussian mode laser beam. The total angular momentum of a laser beam is characterized by the spin angular momentum associated with circular polarization and the orbital angular momentum associated with the spatial distribution of the wave. Light beams with an azimuthal phase dependence of exp(-il) carries an orbital angular momentum independent of the polarization state. An angle is the azimuthal coordinate in the beam's cross section, and l can take any integer value. This orbital angular momentum would have a value of L=lh per photon. Laguerre Gaussian mode laser beam has an azimuthal phase dependence of exp(-il) and possesses a well-defined orbital angular momentum.
For any given l, the beam has l intertwined helical phase fronts. Therefore the cross-sectional intensity pattern of Laguerre Gaussian mode has an annular shape that persists no matter how tightly the beam is focused. And the handedness of the helical phase front depends on the sign of l. By interfering Laguerre Gaussian beam with a plane wave, an azimuthal phase variation transforms to an azimuthal intensity variation, resulting in a pattern with l spiral arms.
We used a computer generated hologram to generate a Laguerre Gaussian mode. The computer generated hologram is produced from the calculated interference pattern that occurs when the desired beam intersects the beam of a conventional laser at a small angle. When the developed hologram is placed in the original laser beam, a diffraction pattern results, the first order of which has the desired amplitude and phase distribution.
We constructed a Mach-Zehnder interferometer to obtain an interference pattern of Laguerre Gaussian mode and Gaussian mode. In one arm of the interferometer, we placed the computer generated hologram to generate Laguerre Gaussian mode, and we placed a glass plate in the other arm, to give a change in the optical path of the beam. As we change the path length in one arm of the interferometer, the interference pattern rotates around the beam axis.
The generated interference pattern was introduced to our optical tweezer system, and the sample position is observed by a CCD(charge coupled device). We observed that one microsphere is trapped in a spiral arm which is generated by the interference of a Laguerre Gaussian mode(l=3) and a Gaussian mode and remains still while other microspheres are moving. And we also observed the three microshperes are captured in thr<ee spiral arms. Since the interference pattern rotates, the trapped particles also rotate.~http://dspace.ewha.ac.kr/handle/2015.oak/173197;
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