Tight focusing of partially polarized vortex beams by binary phase Fresnel zone plates

doi:10.1088/1674-1056/20/11/114202

Abstract Based on vectorial Debye theory, the focusing properties of partially polarized vortex beam by high numerical aperture Fresnel zone plate are investigated. The effects of the numerical apertures of and the phase difference of binary phase Fresnel zone plates, the topological charge of vortex beam and the degree of polarization of incident beam on the intensity distribution and degree of coherence in the focal plane are investigated in detail. It is shown that elliptical light spots and the flat top beam can be obtained by selecting certain parameters. Studies of degree of coherence reveal that the degree of coherence between x and y components of the electric field, which is zero in the source plane, is improved in the focal plane for vortex beam, but it is hardly changed for the nonvortex beam. It is also proved that any two of the three electric field components E_x, E_y and E_z are completely coherent everywhere in the focal region if the incident light beam is linearly polarized.

Keywords: partially polarized vortex beams high numerical aperture binary phase Fresnel zone plates

Received: 21 March 2011
Revised: 18 May 2011
Accepted manuscript online:

PACS:	42.25.Ja	(Polarization)
	42.25.Fx	(Diffraction and scattering)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60977068), the Open Research Fund of Key Laboratory of Atmospheric Composition and Optical Radiation, Chinese Academy of Sciences (Grant No. SKLST200912), and the Overseas Chinese Affairs Office of the State Council (Grant No. 10QZR01).

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Shu Jian-Hua(舒建华), Chen Zi-Yang(陈子阳),Pu Ji-Xiong(蒲继雄), and Liu Yong-Xin(刘永欣) Tight focusing of partially polarized vortex beams by binary phase Fresnel zone plates 2011 Chin. Phys. B 20 114202

[1]	Rydberg C 2008 Opt. Lett. 33 104
[2]	Foreman M R and Torok P 2009 J. Opt. Soc. Am. A 26 2470
[3]	Bokor N and Davidson N 2007 Opt. Commun. 279 229
[4]	Du Y G, Han Y P, Han G X and Li J J 2011 Acta Phys. Sin. 60 028702 (in Chinese)
[5]	Walker E P and Milster T D 2001 Proc. SPIE 4443 73
[6]	Helseth L E 2002 Opt. Commun. 212 343
[7]	Hua L M, Chen B S, Chen Z Y and Pu J X 2011 Chin. Phys. B 20 358
[8]	Zhan Q and Leger R J 2002 Opt. Express 10 324
[9]	Zhang Z M, Pu J X and Wang X Q 2008 Appl. Opt. 47 1963
[10]	Yu Y J, Chen J N, Yan J L and Wang F F 2011 Acta Phys. Sin. 60 230 (in Chinese)
[11]	Allen L, Beijersbergen M W, Spreeuw R J C and Woerdman J P 1992 Phys. Rev. A 45 8185
[12]	Allen L and Padgett M J 2000 Opt. Commun. 184 67
[13]	Terriza G M, Torres J P and Torner L 2003 Opt. Commun. 228 155
[14]	Roux F S 2004 Opt. Commun. 242 45
[15]	Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas'ko V, Barnett S M and Franke-Arnold S 2004 Opt. Express 12 5448
[16]	Zhao Y, Edgar J S, Jeffries G D M, McGloin D and Chiu D T 2007 Phys. Rev. Lett. 99 073901
[17]	Wieland M, Frueke R, Wilhein T, Spielmann C, Pohl M and Kleineberg U 2002 Appl. Phys. Lett. 81 2520
[18]	Carnal O, Sigel M, Sleator T, Takuma H and Mlynek J 1991 Phys. Rev. Lett. 67 3231
[19]	Doak R B, Grisenti R E, Rehbein S, Schmahl G, Toennies J P and Wöll Ch 1999 Phys. Rev. Lett. 83 4229
[20]	Wolf E 1959 Proc. R. Soc. London, Ser. A 253 349
[21]	Gu M 1999 Advanced Optical Imaging Theory (Belin: Springer-Verlag)
[22]	Setälä T, Shevchenko A, Kaivola M and Friberg A T 2002 Phys. Rev. E 66 016615
[23]	Lindfors K, Setala T, Kaivola M and Friberg A T 2005 J. Opt. Soc. Am. A 22 561
[24]	Kalosha V P and Golub I 2007 Opt. Lett. 32 3540
[25]	Mote R G, Yu S F, Zhou W and Li X F 2009 Appl. Phys. Lett. 95 191113

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Tight focusing of partially polarized vortex beams by binary phase Fresnel zone plates

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