Inverse method to engineer uniform-intensity focal fields with arbitrary shape.

We present an inverse method to engineer uniform-intensity focal fields with arbitrary shape. Amplitude, phase, and polarization states, as adjustable parameters, are used to seek the desired focal fields in the non-iterative computational procedure. Our method can be applied to the cases with low and moderate numerical aperture (NA), in which case the feasibility and validity of our approach have been demonstrated in theory, simulation and experiment, respectively. For the case of higher NA, simulated results based on the Richards-Wolf diffraction integral are shown. We also made some discussions on the experiments with the higher NA. Our method should have wide applications in optical micro machining, optical trapping and so on.

• Publication year

  2018

• Venue

  Optics Express

• Publication date

  2018-06-15

• Fields of study

  Medicine, Physics, Engineering

• Identifiers
  DOI 10.1364/OE.26.016782PMID 30119499
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• An Exact and Fast Computation of Discrete Fourier Transform for Polar and Spherical Grid

  2017cited by this paper
• Synthesis of focused beam with controllable arbitrary homogeneous polarization using engineered vectorial optical fields.

  2016cited by this paper
• Reverse engineering approach to focus shaping.

  2016cited by this paper
• Complete shaping of optical vector beams.

  2015cited by this paper
• Shaping of focal field with controllable amplitude, phase, and polarization

  2014cited by this paper
• Super-resolved pure-transverse focal fields with an enhanced energy density through focus of an azimuthally polarized first-order vortex beam.

  2014cited by this paper
• Vector optical fields with polarization distributions similar to electric and magnetic field lines.

  2013cited by this paper
• Focus shaping of tightly focused TEM11 mode cylindrically polarized Laguerre Gaussian beam by diffractive optical element

  2013cited by this paper
• Two-dimensional microstructures induced by femtosecond vector light fields on silicon.

  2012cited by this paper
• Taming the Collapse of Optical Fields

  2012cited by this paper
• Second-harmonic generation imaging of metal nano-objects with cylindrical vector beams.

  2012cited by this paper
• Complete polarization and phase control for focus-shaping in high-NA microscopy.

  2012cited by this paper
• Revealing local field structure of focused ultrashort pulses.

  2011cited by this paper
• Polarization structuring of focused field through polarization-only modulation of incident beam.

  2010cited by this paper
• Optical orbital angular momentum from the curl of polarization.

  2010cited by this paper
• Cylindrical vector beams: from mathematical concepts to applications

  2009cited by this paper
• Focus shaping of cylindrically polarized vortex beams by a high numerical-aperture lens

  2009cited by this paper
• Transporting an Image through a Subwavelength Hole.

  2009cited by this paper
• Focal field computation of an arbitrarily polarized beam using fast Fourier transforms

  2009cited by this paper
• Focusing radially polarized light by a concentrically corrugated silver film without a hole.

  2009cited by this paper
• Vectorial beam shaping.

  2008cited by this paper
• Numerical aperture invariant focus shaping using spirally polarized beams

  2008cited by this paper
• Creation of a needle of longitudinally polarized light in vacuum using binary optics

  2008cited by this paper
• Polarization beam shaping.

  2007cited by this paper
• Optical forces arising from phase gradients

  2007cited by this paper
• Fast focus field calculations.

  2006cited by this paper
• Fast and accurate Polar Fourier transform

  2006cited by this paper
• Three-dimensional focus shaping with cylindrical vector beams

  2006cited by this paper
• Design of DOE for beam shaping with highly NA focused cylindrical vector beam

  2005cited by this paper
• Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping.

  2004cited by this paper
• A revolution in optical manipulation

  2003cited by this paper
• Focus shaping using cylindrical vector beams.

  2002cited by this paper
• Longitudinal field modes probed by single molecules.

  2001cited by this paper
• A laser ablation method for the synthesis of crystalline semiconductor nanowires

  1998cited by this paper
• Three-dimensional optical memory with a photorefractive crystal.

  1995cited by this paper
• Smoothing of the edge-enhanced impulse response from binary phase-only filters using random binary patterns.

  1989cited by this paper
• Pattern recognition with binary phase-only filters.

  1985cited by this paper
• Phase-only matched filtering.

  1984cited by this paper
• Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system

  1959cited by this paper

• Study on the algorithm for improving the FFT calculation accuracy of the Richards-Wolf focusing field in the xz plane

  2024cites this paper
• Generation of multi-focus shaping with high uniformity based on an improved Gerchberg-Saxton algorithm.

  2024cites this paper
• Tight focusing of the vector optical field with polarization varying along complex curves of the Poincaré sphere.

  2024cites this paper
• Inverse Design of Focused Vector Beams for Mode Excitation in Optical Nanoantennas

  2022cites this paper
• Focus shaping of high numerical aperture lens using physics-assisted artificial neural networks.

  2021cites this paper
• Complex shaping of the depth of focus

  2020cites this paper
• Analytical inversion of the focusing of high-numerical-aperture aplanatic systems.

  2019cites this paper
• Direct calculation of tightly focused field in an arbitrary plane

  2019cites this paper
• Three-dimensional modulations on the states of polarization of light fields

  2018cites this paper