Optical wavefront dislocations and their properties

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

doi:10.1016/0030-4018(95)00267-c

Cited by 297 publications

(185 citation statements)

References 17 publications

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“…If the phase delay is, for example, 2 3 π, the width must be approximately 0.3λ, and in the case of an induced phase delay of 1 3 π the width must be 0.6λ. The condition for the appearance of dislocations generated by arbitrary objects can be found using equation (2) and applying the same procedure as described in the appendix for the phase bar. In cases where the transmission spectrum cannot be found analytically, simple numerical routines can be used to evaluate the integrals.…”

Section: Scalar Approximationmentioning

confidence: 99%

“…The phase jumps always by π while scanning through a dislocation, independent of the scan direction. The gradient of the phase becomes infinite at this position and the phase variation along a closed loop around such a point is always an integer multiple of 2π, the topological charge of the vortex [2]. Illuminating optical micro-and nano-structures with an arbitrary wavefield might induce a scattered field that interferes entirely destructively with the illuminating wavefield, thus creating a phase singularity at this point [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Rockstuhl

Salt

Herzig

2004

J. Opt. A: Pure Appl. Opt.

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Phase singularities appear in the diffracted far-field of an optical micro-structure if the object is of a sufficient lateral size to induce an appropriate phase delay. We present results that determine the critical dimension of a single phase bar for the generation of dislocations in the far-field. Using scalar theory, an analytical equality is derived that must be met by the structure. Because the size of the object is comparable to the wavelength, rigorous diffraction theory is used to find this feature size for a true object. Once the dislocations appear, their position is related strongly to the geometry of the object. We show theoretically and experimentally by using an interference microscope that, for a single phase bar, the distance between pairwise generated dislocations depends, to a good approximation, linearly on the width of the structure.

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Section: Scalar Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Rockstuhl

Salt

Herzig

2004

J. Opt. A: Pure Appl. Opt.

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“…Such the pattern is modulated by the intensity of the field ) , iii. The direction of the forklet obtained as a result of interference of the vortex field with a plane reference wave is determined by two factors [9]: the topological charge of the vortex and the mutual orientation of the vortex and the reference waves with respect to the plane of observation. iv.…”

Section: Methods Of the Vortices Signs Identificationmentioning

confidence: 99%

“…The main characteristic of the optical vortex is its topological charge (sign), defining the direction (clockwise or counter-clockwise) of the phase increasing under bypass of the vortex centre (see, e.g., [4,5]). As it is known, complete information on the vortex characteristics may be obtained only from the analysis of data of interferometric experiments [6][7][8][9]. At the same time, as a rule, formation of regular reference beams is impossible due to lack of knowledge of pre-history of the field under analysis.…”

Section: Introductionmentioning

confidence: 99%

Detection of vortex sign for scalar speckle fields

Mokhun¹,

Galushko²

2008

Ukr. J. Phys. Opt.

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A technique is described for determining vortex sign in the scalar optical fields (including statistical ones) under conditions when it is impossible to use a regular reference beam. The elaborated approach is based on the shift-interferometry technique. The optimal conditions for identifying the vortices are formulated. The results of computer simulations and the corresponding experimental confirmation of our theoretical findings are presented.

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“…An analysis for constructing a theory of wavefront dislocation using catastrophe theory is developed by Wright [18]. A study of the phenomenon in optics, particularly in monochromatic light waves is reported in [19].…”

Section: Introductionmentioning

confidence: 99%

Note on wavefront dislocation in surface water waves

Karjanto¹,

Groesen²

2007

Physics Letters A

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At singular points of a wave field, where the amplitude vanishes, the phase may become singular and wavefront dislocation may occur. In this Letter we investigate for wave fields in one spatial dimension the appearance of these essentially linear phenomena. We introduce the Chu-Mei quotient as it is known to appear in the 'nonlinear dispersion relation' for wave groups as a consequence of the nonlinear transformation of the complex amplitude to real phase-amplitude variables. We show that unboundedness of this quotient at a singular point, related to unboundedness of the local wavenumber and frequency, is a generic property and that it is necessary for the occurrence of phase singularity and wavefront dislocation, while these phenomena are generic too. We also show that the 'soliton on finite background', an explicit solution of the NLS equation and a model for modulational instability leading to extreme waves, possesses wavefront dislocations and unboundedness of the Chu-Mei quotient.

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Optical wavefront dislocations and their properties

Cited by 297 publications

References 17 publications

Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Theoretical and experimental investigation of phase singularities generated by optical micro- and nano-structures

Detection of vortex sign for scalar speckle fields

Note on wavefront dislocation in surface water waves

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