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Vortex phase transmission function as a factor to reduce the focal spot of high-aperture focusing system. (English) Zbl 1218.78113
Summary: An analysis was performed into the possibility of reducing the lateral size and increasing the longitudinal size of a high-aperture focal system focus using a vortex phase transmission function for different types of input polarisation (including the general vortex polarisation). We have shown both analytically and numerically that subwavelength localisation for individual components of the vector field is possible at any polarisation type. This fact can be important when considering the interaction between laser radiation and materials that are selectively sensitive to different components of an electromagnetic field. In order to form substantially subwavelength details in total intensity, specific polarisation types and additional apodisation of pupil function, such as masking by a narrow annular slit, are necessary. The optimal selection of the slit radius allows balance of the trade-off between focus depth and focal spot size.

78A60 Lasers, masers, optical bistability, nonlinear optics
78A40 Waves and radiation in optics and electromagnetic theory
Full Text: DOI
[1] DOI: 10.1016/S0030-4018(99)00729-4
[2] Kant R, J. Mod. Opt. 47 pp 905– (2000)
[3] DOI: 10.1103/PhysRevLett.91.233901
[4] DOI: 10.1364/OL.29.001318
[5] DOI: 10.1364/AO.43.004322
[6] DOI: 10.1016/j.optcom.2004.02.020
[7] DOI: 10.1364/OL.32.003540
[8] DOI: 10.1038/nphoton.2008.127
[9] DOI: 10.1364/JOSAA.24.001793
[10] DOI: 10.1364/OE.16.004567
[11] DOI: 10.1364/JOSAB.27.001991
[12] DOI: 10.1364/AOP.1.000001
[13] DOI: 10.1364/OL.30.003063
[14] DOI: 10.1070/QE2009v039n06ABEH013962
[15] DOI: 10.1364/OL.27.000285
[16] DOI: 10.1143/JJAP.46.5160
[17] DOI: 10.1364/AO.29.002234
[18] DOI: 10.1364/JOSAA.22.000984
[19] DOI: 10.1016/j.optcom.2004.03.080
[20] DOI: 10.1364/AO.39.001549
[21] DOI: 10.1364/OL.27.001929
[22] DOI: 10.1016/j.optcom.2006.10.001
[23] DOI: 10.1364/AO.49.001734
[24] DOI: 10.1080/09500349608230675
[25] DOI: 10.1364/JOSAB.15.000524
[26] Dholakia K, Phys. World pp 31– (2002)
[27] Soifer VA, Phys. Part. Nucl. 35 pp 733– (2004)
[28] Khonina SN, Proc. SPIE Int. Soc. Opt. Eng. 5962 pp 59622W– (2005)
[29] DOI: 10.1364/OE.16.004991
[30] DOI: 10.1117/1.1683304
[31] DOI: 10.1117/1.1897392
[32] DOI: 10.1088/1367-2630/8/6/106
[33] DOI: 10.1364/OPEX.12.003605
[34] Desyatnikov, AS, Torner, L and Kivshar, YS. 2005.Progress in Optics, Vol. 47, Edited by: Wolf, E. 219–319. Amsterdam: North-Holland.
[35] DOI: 10.1038/nphys607
[36] DOI: 10.1002/lpor.200810007
[37] DOI: 10.1016/j.optcom.2003.10.043
[38] DOI: 10.1364/JOSAA.26.000576
[39] DOI: 10.1364/AO.48.001288
[40] DOI: 10.1016/j.optlastec.2009.03.008
[41] DOI: 10.1103/PhysRev.50.115
[42] DOI: 10.1038/137031a0
[43] DOI: 10.1103/PhysRevA.45.8185
[44] DOI: 10.1016/0030-4018(94)90269-0
[45] DOI: 10.1103/PhysRevA.56.4064
[46] DOI: 10.1364/JOSAA.27.002188
[47] DOI: 10.1098/rspa.1959.0200 · Zbl 0129.40703
[48] DOI: 10.1364/JOSAA.18.001612
[49] DOI: 10.1364/OL.31.001121
[50] DOI: 10.1364/OE.14.002203
[51] DOI: 10.1126/science.265.5170.361
[52] DOI: 10.1364/OE.14.002650
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