Poynting Vector Behavior of Cylindrical Vector Beam Focused by Gradient Index Lens

In this paper, we have investigated the focusing of a second-order cylindrical vector beam by using a high numerical aperture (NA) lens limited by a ring aperture using the Richards-Wolf formulae. It was shown that the range of negative on-axis projections of the Poynting vector could be increased by increasing the depth of focus through the use of a ring aperture. It was shown that when focusing light with a lens with NA = 0.95, the use of a ring aperture limiting the entrance pupil angle to 0.9 of maximum, allows the depth of the region of negative on-axis Poynting vector projections to be four times increased, with the region width remaining almost unchanged and varying from 0.357 to 0.352 of the incident wavelength. Notably, the magnitude of the reverse energy flow was found to be larger than the direct one by a factor of 2.5.

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Longitudinal component of the Poynting vector of tightly focused cylindrical vector beam

Journal of Physics Conference Series ◽

10.1088/1742-6596/1135/1/012064 ◽

2018 ◽

Vol 1135 ◽

pp. 012064 ◽

Cited By ~ 1

Author(s):

S S Stafeev ◽

A G Nalimov ◽

V V Kotlyar

Keyword(s):

Poynting Vector ◽

Longitudinal Component ◽

Vector Beam ◽

Cylindrical Vector Beam

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Focusing a second-order cylindrical vector beam with a gradient index Mikaelian lens

Computer Optics ◽

10.18287/2412-6179-co-633 ◽

2020 ◽

Vol 44 (1) ◽

pp. 29-33 ◽

Cited By ~ 2

Author(s):

S.S. Stafeev ◽

E.S. Kozlova ◽

A.G. Nalimov

Keyword(s):

Free Space ◽

Energy Flow ◽

Second Order ◽

Gradient Index ◽

Vector Beam ◽

Output Surface ◽

Direct Energy ◽

Lens Material ◽

Cylindrical Vector Beam

In this paper, we numerically simulate the focusing of a second-order cylindrical vector beam with a gradient index Mikaelian lens. It is shown that the lens forms a region of the reverse energy flow near its output surface. If the lens has an on-axis micropit, the region of the direct energy flow can be confined within the lens material, whereas that of the reverse energy flow is put out in free space.

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Transverse intensity at the tight focus of a second-order cylindrical vector beam

Computer Optics ◽

10.18287/2412-6179-co-835 ◽

2021 ◽

Vol 45 (2) ◽

pp. 165-171

Author(s):

E.S. Kozlova ◽

S.S. Stafeev ◽

S.A. Fomchenkov ◽

V.V. Podlipnov ◽

V.V. Kotlyar

Keyword(s):

Energy Flow ◽

Light Field ◽

Poynting Vector ◽

Near Field ◽

Fdtd Method ◽

Optical Microscope ◽

Second Order ◽

Vector Beam ◽

Tight Focus ◽

Cylindrical Vector Beam

In this paper, an effect of a reverse energy flow at the focus of a second-order cylindrical vector beam which passed through amplitude zone plate was investigated with a scanning near-field optical microscope. A comparison of the intensity distribution detected with a pyramidal metallized cantilever with a hole and the characteristics of the light field calculated using a FDTD method and the Richards-Wolf formulas suggests that the cantilever is sensitive to the transverse intensity component rather than the total intensity or the components of the Poynting vector in the backflow region.

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