Results 81 to 90 of about 6,949 (194)
Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams
Advanced Photonics Research, Volume 6, Issue 10, October 2025.This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng +7 more
wiley +1 more source
PSF Estimation of Space-Variant Ultra-Wide Field of View Imaging Systems
Applied Sciences, 2017 Ultra-wide-field of view (UWFOV) imaging systems are affected by various aberrations, most of which are highly angle-dependent. A description of UWFOV imaging systems, such as microscopy optics, security camera systems and other special space-variant ...
Petr Janout +3 more
doaj +1 more source
Robust designs for series estimation [PDF]
We discuss optimal design problems for a popular method of series estimation in regression problems. Commonly used design criteria are based on the generalized variance of the estimates of the coefficients in a truncated series expansion and do not take ...
Dette, Holger, Wiens, Douglas P.
core
Advanced Science, Volume 12, Issue 37, October 6, 2025.This study proposes an augmented reality (AR) near‐eye display system that simultaneously achieves a large depth‐of‐field (DOF) from 0.25 to 10 m, a wide 50° field‐of‐view (FOV), and a 10 mm × 10 mm viewing eyebox, while maintaining high display performance, good optical see‐through viewing capability, and a compact system form factor.
Yongdong Wang +4 more
wiley +1 more source
A new operational matrix method to solve nonlinear fractional differential equations
Nonlinear EngineeringThis study aims to propose novel Zernike wavelets and a new method based on the operational matrices for solving nonlinear fractional differential equations. First, non-orthogonal Zernike wavelets are introduced using the Zernike polynomials. Then, a new
Hedayati Maryamsadat, Ezzati Reza
doaj +1 more source
Third Order Newton's Method for Zernike Polynomial Zeros
, 2007 The Zernike radial polynomials are a system of orthogonal polynomials over the unit interval with weight x. They are used as basis functions in optics to expand fields over the cross section of circular pupils.
Mathar, Richard J.
core
Quantifying the morphology of eyeballs with posterior staphyloma with Zernike polynomials. [PDF]
Front Bioeng Biotechnol, 2023 Rong H +10 more
europepmc +1 more source
ENZ-Based High Fidelity Complex-Field Reconstruction
IEEE Photonics JournalThe Extended Nijboer-Zernike (ENZ) theory, an analytical solution based on Zernike polynomials within Fourier integration, offers unique advantages in characterizing imaging spaces.
Wencan Wei, Fuda Jiang, Chonglei Zhang
doaj +1 more source
Estimating conformational landscapes from Cryo-EM particles by 3D Zernike polynomials. [PDF]
Nat Commun, 2023 Herreros D +9 more
europepmc +1 more source
Generalized Zernike or disc polynomials
Journal of Computational and Applied Mathematics, 2005 The paper is devoted to the study of the generalized Zernike or disc polynomials, which are orthogonal 2D polynomials on the unit disc and can be expressed by Jacobi polynomials of transformed arguments. Two differential equations, a first-order and a second-order one with a certain degree of freedom, and the operators of lowering and raising of the ...
openaire +2 more sources