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On the use of the supporting quadric method in the problem of designing double freeform surfaces for collimated beam shaping

https://doi.org/10.1364/oe.398990
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26/26 checkable references clean · checked 2026-08-18

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

4 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 26 checked references that resolve
resolves10.1016/j.optcom.2014.06.043
Double freeform surfaces design for laser beam shaping with Monge–Ampère equation method
resolves10.1016/j.optcom.2019.01.069
Computation of double freeform optical surfaces using a Monge–Ampère solver: Application to beam shaping
resolves10.1088/2040-8978/18/12/125602
Design beam shapers with double freeform surfaces to form a desired wavefront with prescribed illumination pattern by solving a Monge-Ampère type equation
resolves10.1364/AO.56.003679
Ray-mapping approach in double freeform surface design for collimated beam shaping beyond the paraxial approximation
resolves10.1364/AO.58.002512
Fast design method of smooth freeform lens with an arbitrary aperture for collimated beam shaping
resolves10.1364/JOSAA.35.000236
Double freeform illumination design for prescribed wavefronts and irradiances
resolves10.1364/AO.54.006277
Creating unconventional geometric beams with large depth of field using double freeform-surface optics
resolves10.1364/OE.26.024602
Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems
resolves10.1364/OE.26.019406
Beam shaping with a plano-freeform lens pair
resolves10.1364/JOSAA.24.000463
Intensity control with a free-form lens
resolves10.1512/iumj.2004.53.2455
Optical design of two-reflector systems, the Monge-Kantorovich mass transfer problem and Fermat's principle
resolves10.1007/s00205-011-0419-x
Designing Freeform Lenses for Intensity and Phase Control of Coherent Light with Help from Geometry and Mass Transport
resolves10.1186/s13362-018-0048-1
Ray mappings and the weighted least action principle
resolves10.1090/conm/226/03233
On the numerical solution of the problem of reflector design with given far-field scattering data
resolves10.1007/s00791-003-0103-2
Computational algorithms for constructing reflectors
resolves10.1364/OE.18.005295
Fast freeform reflector generation using
source-target maps
resolves10.1364/OL.36.000918
Cartesian oval representation of freeform optics in illumination systems
resolves10.1364/OE.25.000A58
Controlling light with freeform multifocal lens designed with supporting quadric method(SQM)
resolves10.1364/OE.23.019605
On the use of the supporting quadric method in the problem of the light field eikonal calculation
resolves10.1364/AO.52.002521
Analytical design of freeform optical elements generating an arbitrary-shape curve
resolves10.1364/AO.58.009131
Optimal mass transportation problem in the design of freeform optical elements generating far-field irradiance distributions for plane incident beam
resolves10.18287/2412-6179-2019-43-5-705-713
Formulation of the inverse problem of calculating the optical surface for an illuminating beam with a plane wavefront as the Monge–Kantorovich problem
resolves10.1364/OE.27.013083
Optimal mass transportation and linear assignment problems in the design of freeform refractive optical elements generating far-field irradiance distributions
resolves10.1111/j.1467-8659.2011.02032.x
A Multiscale Approach to Optimal Transport
resolves10.1007/PL00009187
Minkowski-Type Theorems and Least-Squares Clustering
resolves10.1007/s10957-014-0661-0
On Semi-discrete Monge–Kantorovich and Generalized Partitions
The 4 references without a DOI — listed, not checked
no DOI — not checkedMathematical aspects of design of beam shaping surfaces in geometrical optics
no DOI — not checked(reference deposited without a DOI or citation text)
no DOI — not checkedPartial differential equations and Monge–Kantorovich mass transfer
no DOI — not checked(reference deposited without a DOI or citation text)
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. If Crossref’s record marks the work itself retracted, withdrawn, or removed, the badge says so instead of showing clean. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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