2013
DOI: 10.1364/ol.38.003937
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Sharper focal spot generated by 4π tight focusing of higher-order Laguerre–Gaussian radially polarized beam

Abstract: The focal electric fields for a 4π high numerical aperture (NA) focusing system with both the doughnut and higher-order Laguerre-Gaussian (LG) radially polarized (RP) beams are investigated in the case of NA=1, and the full width at half-maximum values of the focal spots are calculated. Compared with the single-lens high NA focusing configuration, a sharper spot, whose size is reduced efficiently in the transverse as well as the axial direction, can be formed. Such size reduction is attributed to not only the … Show more

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Cited by 46 publications
(12 citation statements)
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“…In a 4 π microscopic system ( Figure 2 ), the vectorial electric field distributions in the focal region can be calculated using the Debye diffraction theory ( Supplementary Equations (1) and (2) ). The interference of the focal fields of the two objectives is 33 …”
Section: Methodsmentioning
confidence: 99%
“…In a 4 π microscopic system ( Figure 2 ), the vectorial electric field distributions in the focal region can be calculated using the Debye diffraction theory ( Supplementary Equations (1) and (2) ). The interference of the focal fields of the two objectives is 33 …”
Section: Methodsmentioning
confidence: 99%
“…This feature enables refinement of material processing and super-resolution microscopy. Some researchers have reported that the complex amplitude distribution on the radial axis modulates the focal depth 35 and the spot size 36,37 , the latter of which is vital for laser processing and manipulation technologies. We have reported that nonlinear propagations in a uniaxial crystal can alter the output complex amplitude distribution on the radial axis even if the input VBSs is unchanged 38 .…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, based on focusing with high numerical aperture (NA) lenses [1][2][3][4], the generation of three-dimensional (3D) focus shaping [5][6][7][8][9][10] has become a hot topic for its wide applications in areas such as optical tweezers for trapping and manipulating particles [3,5] and super-resolution fluorescence microscopes [6,9]. In the former, it is an optical cage that generates a 3D optical potential well that confines the lowrefractive-index particles into the 3D dark hollow central region.…”
Section: Introductionmentioning
confidence: 99%