2009
DOI: 10.1016/s0079-6638(08)00205-9
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Chapter 5 Singular Optics: Optical Vortices and Polarization Singularities

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Cited by 717 publications
(701 citation statements)
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“…In particular, at the positions where the Raman spots would start to form for the whole CR beam, the nature of the J 0 and J 1 Bessel functions involved in the B 0 and B 1 components becomes appreciable. Far enough from the focal plane, the B 0 beam possesses an axial intensity maximum, while the B 1 beam has a nodal line coinciding with the Z axis, i.e., it forms an optical vortex, which is an optical singularity [128]. This result becomes more appreciable for low values of ρ 0 .…”
Section: Theoretical Backgroundmentioning
confidence: 97%
See 1 more Smart Citation
“…In particular, at the positions where the Raman spots would start to form for the whole CR beam, the nature of the J 0 and J 1 Bessel functions involved in the B 0 and B 1 components becomes appreciable. Far enough from the focal plane, the B 0 beam possesses an axial intensity maximum, while the B 1 beam has a nodal line coinciding with the Z axis, i.e., it forms an optical vortex, which is an optical singularity [128]. This result becomes more appreciable for low values of ρ 0 .…”
Section: Theoretical Backgroundmentioning
confidence: 97%
“…However, there exist light beams possessing non-homogenous polarization, known as vector beams, such as the well known radial or azimuthal polarizations [101] or even beams with more involving polarization distributions [124][125][126]. The non-homogeneous polarization distribution of vector beams can lead to singular points where the SOP is exactly circular (C points), lines along which the SOP is linear (L lines) or disclinations where the instantaneous electric field is null [127][128][129][130]. Vector beams have been applied to laser material processing, optical imaging, atomic spectroscopy, and optical trapping (see [101] and the references therein), among many others.…”
Section: Introductionmentioning
confidence: 99%
“…Note that, similar to the above discussed exceptional point at which the angle ψ d becomes undetermined, C points can be regarded as phase singularities (optical phase singularities are reviewed in Ref. [20]). …”
Section: Discussionmentioning
confidence: 88%
“…[20]). In particular, the polarization singularities such as the C points (the points where the light wave is circular polarized) and the L lines (the curves along which the polarization is linear) frequently emerge as the characteristic feature of certain polarization state distributions.…”
Section: Introductionmentioning
confidence: 99%
“…Световые пучки с оптическими вихрями (ОВ) [1][2][3] привлекают пристальное внимание исследователей и ин-женеров из-за их уникальных физических особенностей и многочисленных научно-технологических применений в таких, например, разных областях, как манипуляция микрообъектами, астрономия, оптическая связь. Оптиче-ский вихрь представляет собой волновую структуру с сингулярностью в поперечном распределении фазы (так называемой винтовой дислокацией волнового фронта) и нулевой амплитудой в центре OВ.…”
Section: Introductionunclassified