Singular optics

Soskin, M. S.; Vasnetsov, M. V.

doi:10.1016/s0079-6638(01)80018-4

Cited by 894 publications

(746 citation statements)

References 109 publications

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“…DOI: 10.1103/PhysRevLett.104.083903 PACS numbers: 42.25.Fx, 42.25.Gy, 42.25.Ja, 42.50.Tx Phase singularities in the electric field are locations at which the field amplitude is strictly zero. Given a fixed polarization or ''spin'', the phase integral over the transverse field components enclosing a phase singularity provides a measure of the phase vorticity or orbital angular momentum (OAM) topological charge [1,2]. The threedimensional electric field of an inhomogeneously polarized propagating electromagnetic wave produces three different types of polarization phase singularities [3], the evolution of which is studied in a rich array of literature [4].…”

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confidence: 99%

Electromagnetic Spin-Orbit Interactions via Scattering of Subwavelength Apertures

et al. 2010

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Circularly polarized electric fields incident on subwavelength apertures produce near-field phase singularities with phase vorticity AE1 depending on the polarization handedness. These near-field phase singularities combine with those associated with orbital angular momentum and result in polarizationdependent transmission. We produce arbitrary phase vorticity in the longitudinal component of scattered electric fields by varying the incident beam and aperture configuration. DOI: 10.1103/PhysRevLett.104.083903 PACS numbers: 42.25.Fx, 42.25.Gy, 42.25.Ja, 42.50.Tx Phase singularities in the electric field are locations at which the field amplitude is strictly zero. Given a fixed polarization or ''spin'', the phase integral over the transverse field components enclosing a phase singularity provides a measure of the phase vorticity or orbital angular momentum (OAM) topological charge [1,2]. The threedimensional electric field of an inhomogeneously polarized propagating electromagnetic wave produces three different types of polarization phase singularities [3], the evolution of which is studied in a rich array of literature [4]. Our understanding of phase singularities allows us to probe materials, characterize surfaces, study light propagation dynamics, and manipulate microparticles [5].Within the last decade, there have been observations of near-field phase singularities (NFPS) in the evanescent waves produced by propagating [6] and scattered [7] light. The locations of NFPS produced by chiral ''gammadion' ' [8] and spiral grating structures [9] depend on incident polarization handedness. These NFPS are connected to the extraordinary transmission of light through subwavelength slits [10], where whirlpool-like power flows and singularities in the Poynting vector are shown to exist [11,12]. Azimuthally and radially polarized vortices, beams with different polarization singularities, are transmitted through apertures with different efficiencies [13] but in spite of numerous measurements and observations of NFPS, the polarization-dependent transmission that occurs at subwavelength structures is not fully understood and light-metal interactions are neither fully optimized nor controlled.Here, we show that the polarization-dependent transmission at sub-wavelength-structured materials are concisely explained by a coupling between electromagnetic spin and OAM. ''Spin-orbit interactions'' describe the modified light propagation due to their coupling where the longitudinal component of an electric field generally plays a crucial role. It has been shown that spin-orbit interactions occur via oblique reflections and refraction [14], in wave guiding structures [15], and in the focal plane of highly focused beams [16]. In these situations, a change in either the direction of the phase vorticity or the polarization handedness results in a shift of the observed light intensity patterns.Our work explains, for the first time, that polarizationdependent NFPS describe which modes and to what extent light is transmitted through th...

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Electromagnetic Spin-Orbit Interactions via Scattering of Subwavelength Apertures

et al. 2010

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“…Optical vortices [27] have attracted ever growing attention of researchers due to the wide variety of applications of the so-called singular optical beams [34], ranging from optical tweezers to quantum information [36]. It is anticipated thar the localized vortex solitons in nonlinear media [9,17] will be used as information carriers in futuristic all-optical photonic devices.…”

Section: Introductionmentioning

confidence: 99%

Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

2008

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Abstract. A Hamiltonian system of incoherently coupled nonlinear Schrödinger (NLS) equations is considered in the context of physical experiments in photorefractive crystals and Bose-Einstein condensates. Due to the incoherent coupling, the Hamiltonian system has a group of various symmetries that include symmetries with respect to gauge transformations and polarization rotations. We show that the group of rotational symmetries generates a large family of vortex solutions that generalize scalar vortices, vortex pairs with either double or hidden charge, and coupled states between solitons and vortices. Novel families of vortices with different frequencies and vortices with different charges at the same component are constructed and their linearized stability problem is block-diagonalized for numerical analysis of unstable eigenvalues.

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“…The phase around a singular point of a complex scalar field is well-known to possess a vortex-like structure (as described for instance in [3]). The phase increases or decreases as one moves about the singular point in a counterclockwise direction; the vortex is then referred to as positive or negative, respectively (see Fig.…”

Section: Singular Optics Of Electromagnetic Fieldsmentioning

confidence: 99%

“…This unusual behavior is connected to the fact that the phase of the field is undefined when the amplitude vanishes. The systematic study of such singular points, initiated by Nye and Berry [1], has developed into a vibrant field of optics, now usually called singular optics [2,3]. The phase of the field in the neighborhood of such singular points can exhibit a rich variety of behaviors, such as vortices and dislocations.…”

Section: Introductionmentioning

confidence: 99%

Creation and annihilation of phase singularities near a sub-wavelength slit

Schouten¹,

Visser²,

Gbur³

et al. 2003

Opt. Express

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Abstract:The anomalously-high transmission of light through subwavelength apertures is a phenomenon which has been observed in numerous experiments, but whose theoretical explanation is incomplete. In this article we present a numerical analysis of the power flow (characterized by the Poynting vector) of the electromagnetic field near a sub-wavelength sized slit in a thin metal plate, and demonstrate that the enhanced transmission is accompanied by the annihilation of phase singularities in the power flow near the slit.

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Singular optics

Cited by 894 publications

References 109 publications

Electromagnetic Spin-Orbit Interactions via Scattering of Subwavelength Apertures

Electromagnetic Spin-Orbit Interactions via Scattering of Subwavelength Apertures

Multi-component vortex solutions in symmetric coupled nonlinear Schrödinger equations

Creation and annihilation of phase singularities near a sub-wavelength slit

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