R. V. Skidanov

Gauss-Laguerre modes with different indices in prescribed diffraction orders of a diffractive phase element

Multilevel surface-relief-type diffractive optical elements are designed which are capable of generating a large number of Gauss-Laguerre modes with arbitrary mode indices in different diffraction orders of the element. Some such elements are fabricated by electron beam lithography, proportional reactive ion etching in SiO , and hot embossing in PMMA. Good 2

Diffraction of a finite-radius plane wave and a Gaussian beam by a helical axicon and a spiral phase plate

We derive what we believe to be new analytical relations to describe the Fraunhofer diffraction of the finite-radius plane wave by a helical axicon (HA) and a spiral phase plate (SPP). The solutions are deduced in the form of a series of the Bessel functions for the HA and a finite sum of the Bessel functions for the SPP. The solution for the HA changes to that for the SPP if the axicon parameter is set equal to zero. We also derive what we believe to be new analytical relations to describe the Fresnel and Fraunhofer diffraction of the Gaussian beam by a HA are derived. The solutions are deduced in the form of a series of the hypergeometric functions. We have fabricated by photolithography a binary diffractive optical element (a HA with number n=10) able to produce in the focal plane of a spherical lens an optical vortex, which was then used to perform rotation of several polystyrene beads of diameter 5 microm.

Rotation of microparticles with Bessel beams generated by diffractive elements

Abstract 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 μm diameter yeast particles and polystyrene beads of diameter 5 μm.

Binary beam splitter

We propose a method for designing a diffractive beam splitter that enables the diffraction orders to be uniformly distributed within a required elliptic region. The performance of the designed optical element is demonstrated experimentally.

Asymmetric Bessel–Gauss beams

We propose a three-parameter family of asymmetric Bessel-Gauss (aBG) beams with integer and fractional orbital angular momentum (OAM). The aBG beams are described by the product of a Gaussian function by the nth-order Bessel function of the first kind of complex argument, having finite energy. The aBG beams asymmetry degree depends on a real parameter c≥0: at c=0, the aBG beam is coincident with a conventional radially symmetric Bessel-Gauss (BG) beam; with increasing c, the aBG beam acquires a semicrescent shape, then becoming elongated along the y axis and shifting along the x axis for c≫1. In the initial plane, the intensity distribution of the aBG beams has a countable number of isolated optical nulls on the x axis, which result in optical vortices with unit topological charge and opposite signs on the different sides of the origin. As the aBG beam propagates, the vortex centers undergo a nonuniform rotation with the entire beam about the optical axis (c≫1), making a π/4 turn at the Rayleigh range and another π/4 turn after traveling the remaining distance. At different values of the c parameter, the optical nulls of the transverse intensity distribution change their position, thus changing the OAM that the beam carries. An isolated optical null on the optical axis generates an optical vortex with topological charge n. A vortex laser beam shaped as a rotating semicrescent has been generated using a spatial light modulator.

Generating hypergeometric laser beams with a diffractive optical element

We derive explicit analytical relations to describe paraxial light beams that represent a particular case of the hypergeometric (HyG) laser beams [J. Opt. Soc. Am. A25, 262-270 (2008)JOAOD60740-323210.1364/JOSAA.25.000262]. Among these are modified quadratic Bessel-Gaussian beams, hollow Gaussian optical vortices, modified elegant Laguerre-Gaussian beams, and gamma-HyG beams. Using e-beam microlithography, a binary diffractive optical element capable of producing near-HyG beams is synthesized. Theory and experiment are in sufficient agreement. We experimentally demonstrate the ability to rotate dielectric microparticles using the bright diffraction ring of a HyG beam.

Diffraction of conic and Gaussian beams by a spiral phase plate.

An analytical expression for the spatial spectrum of the conic wave diffracted by a spiral phase plate (SPP) with arbitrary integer singularity of order n is obtained. Conic wave diffraction by the SPP is equivalent to plane-wave diffraction by a helical axicon. A comparison of the conic wave and Gaussian beam diffraction on a SPP is made. It is shown that in both cases a light ring is formed, with the intensity function growing in proportion to rho(2n) at small values of radial variable rho and decreasing as n(2)rho(-4) at large rho. By use of direct e-beam writing on the resist, a 32 level SPP of the 2nd order and diameter 5 mm is manufactured. By use of this SPP, a He-Ne laser beam is transformed into a beam with phase singularity and ringlike intensity distribution. A four-order binary diffractive optical element (DOE) with its transmittance proportional to a linear superposition of four angular harmonics is also manufactured. With this DOE, simultaneous optical trapping of several polystyrene beads of diameter 5 microm is performed.

Narrowing of a light spot at diffraction of linearly-polarized beam on binary asymmetric axicons

AbstactTo compensate widening of the central light spot which inevitably arises at linear polarization of a beam illuminating high-numerical-aperture axicon we propose to introduce an asymmetry in axicon structure. Experimental research of diffraction of Gaussian beam by three types of binary microaxicons with the period close to wavelength was carried out by means of near-field microscope. Diffractive optical elements with the period of 500 nanometers and various height of a microrelief have been fabricated by e-beam lithography. Narrowing of a central light spot formed by asymmetric microaxicons was experimentally confirmed. Overcoming of the diffraction limit (down to FWHM = 0.32λ) was observed in a near zone.

Design and investigation of color separation diffraction gratings

Color separation gratings (CSGs) are designed within the framework of the rigorous electromagnetic theory using a gradient method. The optimality of the scalar-theory-based solutions is estimated. The results of the experimental study of a CSG to separate three wavelengths are presented.

Modifying the laser beam intensity distribution for obtaining improved strength characteristics of an optical trap.

In this article we study modified optical beams used as optical tweezers for guiding biological micro-objects. We mean to achieve more efficient micromanipulation by using crescent intensity distribution. During laboratory experiments to test their theoretical projections we manufactured a diffractive optical element (DOE) to generate the proposed intensity distribution. Experimental estimations are provided for DOE energy efficiency. We conduct both theoretical and experimental studies of the crescent beam trapping strength. It transpires that in some cases crescent-shaped beams are more efficient than more commonly used Gaussian beams.