Phase singularities of the coherence functions in Young’s interference pattern

Schouten, Hugo F.; Gbur, Greg; Visser, Taco D.; Wolf, Emil

doi:10.1364/fio.2003.thb4

Cited by 25 publications

(34 citation statements)

References 5 publications

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“…An example of these are singularities of the longitudinal component of the electric field in strongly focused, linearly polarized beams [8]. Recently, the two-point correlation functions that describe spatially partially coherent light were shown to posses singularities as well [9]- [12]. All types of singularities mentioned above can be created or annihilated when a system parameter, such as the wavelength of the field, is smoothly varied.…”

Section: Introductionmentioning

confidence: 99%

Polarization singularities of focused, radially polarized fields

Schoonover

Visser

2006

Opt. Express

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Abstract:The state of polarization of strongly focused, radially polarized electromagnetic fields is examined. It is found that several types of polarization singularities exist. Their relationship is investigated, and it is demonstrated that on smoothly varying a system parameter, such as the aperture angle of the lens, different polarization singularities can annihilate each other. For example, the evolution of a lemon into a monstar and its subsequent annihilation with a star is studied. Also, the quite rare collision of a C-line and an L -line, resulting in a V -point, is observed.

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Section: Introductionmentioning

confidence: 99%

Polarization singularities of focused, radially polarized fields

Schoonover

Visser

2006

Opt. Express

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“…a singular optics approach of nonuniformly polarized, partially spatially coherent and polychromatic fields have revealed phase singularities intrinsic to arbitrary complex parameter of an optical field. It is important that such singularities can occur, when the common phase singularities of the field's complex amplitude are absent both in the complex beam as a whole and in some of its components [15][16][17][18][19][20]. This important extension of the subject of singular optics is in good agreement with Wolf's methodology in optics for observable quantities [21].…”

Section: Introductionmentioning

confidence: 77%

Singular-optical coloring of regularly scattered white light

Angelsky¹,

Polyanskii²,

Hanson³

2006

Opt. Express

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When the surface roughness is comparable with the wavelength of the probing radiation, the scattered field contains both the regular (forward-scattered) component of coherent nature and the diffusely scattered part. Coloring of the regular component of white light scattered by a colorless dielectric slab with a rough surface is considered as a peculiar effect of singular optics with zero (infinitely extended) interference fringes. To explain the observed alternation of colors with respect to the increasing depth of the surface roughness, we apply a model of transition layers associated with the surface roughness. By applying the chromascopic technique, it is shown that the modifications of the normalized spectrum of the forwardscattered white light can be interpreted as the effect of a quarter-wavelength (anti-reflecting) layer for some spectral component of a polychromatic probing beam.

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“…However, the statistical properties of these fields are described by two-point correlation functions, which do have a definite phase [16][17][18]. A few years ago it was pointed out that these functions can also exhibit singular behavior [19]. Such correlation singularities, or "coherence vortices," occur at pairs of points at which the field is completely uncorrelated.…”

Section: Introductionmentioning

confidence: 99%

Topological reactions of correlation functions in partially coherent electromagnetic beams

2013

Self Cite

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It was recently shown that so-called coherence vortices, singularities of the two-point correlation function, generally occur in partially coherent electromagnetic beams. We study the three-dimensional structure of these singularities and show that in successive cross sections of a beam a rich variety of topological reactions takes place. These reactions involve, apart from vortices, the creation or annihilation of dipoles, saddles, maxima and minima of the phase of the correlation function. Since these reactions happen generically, i.e., under quite general conditions, these observations have implications for interference experiments with partially coherent, electromagnetic beams.

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Phase singularities of the coherence functions in Young’s interference pattern

Cited by 25 publications

References 5 publications

Polarization singularities of focused, radially polarized fields

Polarization singularities of focused, radially polarized fields

Singular-optical coloring of regularly scattered white light

Topological reactions of correlation functions in partially coherent electromagnetic beams

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