Trochoson

Хонина, С. Н.; Kotlyar, V. V.; Сойфер, В. А.; Shinkaryev, M.V.; Uspleniev, G.V.

doi:10.1016/0030-4018(92)90430-y

Cited by 88 publications

(22 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Using the identity J:xpLtneJexp(tkrp/z)cos(e)Jde = 2Tr(-tfexp(tn&J(krp/z) (4) we can represent the diffraction integral in the following form: U(p,,z) = t)fl+1exp(tn)CJexP(tkr(r)÷r2/2z1;J(krp/z)rdr (5) The axial amplitude distribution, for n=O is given by U(O,z) = _i)fl+1exP(tn)CJexp(tk[(r)+r2/2zJ)rdr (6) and for is equal to 0.…”

Section: Discussionmentioning

confidence: 99%

<title>Spiral diffractive optical elements</title>

Jaroszewicz

Kołodziejczyk

1994

SPIE Proceedings

View full text Add to dashboard Cite

Conventional diffractive optical elements with symmetry of revolution like spherical zone plate or axicons are modified by an addition of linear phase change ne along the angular coordinate, where n is a natural number. In consequence of such manipulation the zone borders convert from circles into spirals and the elements modified in this way exhibit a dark dip in the centre SPIE Vol. 2169/25 Downloaded From: http://proceedings.spiedigitallibrary.org/ on 06/24/2016 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx

show abstract

Section: Discussionmentioning

confidence: 99%

<title>Spiral diffractive optical elements</title>

Jaroszewicz

Kołodziejczyk

1994

SPIE Proceedings

View full text Add to dashboard Cite

show abstract

“…the OAM projection onto the z axis takes the form: Expression (51) coincides, up to a constant, with the first term in equation (19) derived in [13].…”

Section: The Orbital Angular Momentum Of the Bbmentioning

confidence: 97%

“…Thus, an optical axis segment, at which the BB formed by a finite phase DOE, preserves its modal character, starts from some z min , needed to form the beam, and ends at <2z max , with z max given by equation (52). In [19,32] it was proposed that the multi-mode BB should be formed by use of a DOE whose transmission function is a linear combination of an axicon and an angular harmonic:…”

Section: Doe Synthesismentioning

confidence: 99%

Rotation of microparticles with Bessel beams generated by diffractive elements

Хонина

Kotlyar

Скиданов

et al. 2004

Journal of Modern Optics

View full text Add to dashboard Cite

We show that imaging a non-diverging Bessel beam by a spherical lens leads to the generation of a diverging Bessel beam. Expressions for the projections of the Umov-Poynting vector for a two-dimensional TE-polarized Bessel beam and a three-dimensional paraxial linearly polarized Bessel beam are derived. A fifth-order Bessel beam is produced using a single optical element-a 16-level phase-only diffractive helical axicon fabricated using electron beam lithography. This beam was successfully used to trap and rotate 5-10 mm diameter yeast particles and polystyrene beads of diameter 5 mm.

show abstract

“…As a rule vortical beams are created by inserting vortex phase singularity into initial plane beam using diffractive optical elements. Particularly, spiral phase plates, vortical axicons, vortical zone plates, binary forked gratings are used to create vortical beams [4][5][6] .…”

Section: Introductionmentioning

confidence: 99%