Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Properties of the z-Transform I01:17

Properties of the z-Transform I

The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Broadband Photodetector Based on Monolayer MoS<sub>2</sub> Hybridized with Eco-Friendly CuInS<sub>2</sub> Quantum Dots for Weak-to-Strong Light Detection.

ACS applied materials & interfaces·2026
Same author

Predicting PPOI secondary to laparoscopic radical resection of rectal cancer combined with lobaplatin hyperthermic intraperitoneal chemotherapy: a multi-center study.

BMC surgery·2026
Same author

Research on Plasma Characteristics of High-Power Impulse Magnetron Sputtering Ti-Nb-Cr Target and Its Effect on Film Properties.

Materials (Basel, Switzerland)·2026
Same author

Extended homeomorphic Fourier transform framework for non-bijective phase-to-frequency mappings in focused optical field simulation.

Optics express·2026
Same author

Deciphering the characteristics of strong-flavor Daqu at different grades through integrated microbiome and metabolome analysis.

Food chemistry: X·2026
Same author

Wafer-Scale Fabrication of Miniaturized Graphene-Based Ion-Selective Field-Effect Transistor Chips for Clinical Plasma Test.

ACS applied materials & interfaces·2026
Same journal

Denoising algorithm of Φ-OTDR systems based on adaptive fractional wavelet transform denoising.

Optics express·2026
Same journal

Millisecond photon-to-photon latency and high-speed volumetric projection system for optogenetics.

Optics express·2026
Same journal

Polarization-encoded coaxial structured light for high-precision 3D surface profilometry.

Optics express·2026
Same journal

Discrete freeform optical design based on collaborative optimization of point cloud and local normals.

Optics express·2026
Same journal

Ultrafast ghost imaging with 25 GHz speckle switching and wavelength-division multiplexing.

Optics express·2026
Same journal

Atomic vapor cells fabricated by femtosecond laser welding of standard-optical-quality glass.

Optics express·2026
See all related articles

Related Experiment Video

Updated: Jul 3, 2026

Patterning via Optical Saturable Transitions - Fabrication and Characterization
08:19

Patterning via Optical Saturable Transitions - Fabrication and Characterization

Published on: December 11, 2014

Double Zernike polynomial-based desensitization design method for off-axis optical systems.

Yan Mo, Hao Tan, Haibo Wang

    Optics Express
    |July 2, 2026
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new method using double Zernike (DZ) polynomials and nodal aberration sensitivity (NAS) to improve off-axis optical system design. The method enhances robustness against alignment errors, significantly reducing wavefront errors in complex systems.

    More Related Videos

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    Related Experiment Videos

    Last Updated: Jul 3, 2026

    Patterning via Optical Saturable Transitions - Fabrication and Characterization
    08:19

    Patterning via Optical Saturable Transitions - Fabrication and Characterization

    Published on: December 11, 2014

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
    12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    Area of Science:

    • Optical Engineering
    • System Design
    • Aberration Analysis

    Background:

    • High-performance off-axis optical systems need robustness against alignment tolerances.
    • Current desensitization methods lack efficient full-field wavefront representation and sensitivity evaluation.

    Purpose of the Study:

    • To develop a practical desensitization design method for off-axis optical systems.
    • To improve design efficiency by addressing limitations in existing procedures.

    Main Methods:

    • Integration of double Zernike (DZ) polynomials for full-field optical path difference (OPD) representation.
    • Utilizing nodal aberration sensitivity (NAS) for sensitivity evaluation.
    • Determining DZ coefficient matrix via discrete orthogonality and Gaussian quadrature (GQ).

    Main Results:

    • Validated full-field wavefront reconstruction capability of DZ polynomials in a TMA system.
    • Achieved a significant reduction in maximum full-field RMS wavefront error (from 0.0843λ to 0.0324λ) in an off-axis telescope design.
    • Demonstrated enhanced robustness against alignment tolerances for complex off-axis systems.

    Conclusions:

    • The proposed DZ and NAS integrated method is effective for full-field wavefront reconstruction.
    • The method enables robust design of complex off-axis optical systems, crucial for applications like gravitational-wave detection.