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 Experiment Video

Updated: Jun 9, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Theory of modulation transfer function artifacts due to mid-spatial-frequency errors and its application to optical

John M Tamkin1, Tom D Milster, William Dallas

  • 1The University of Arizona, College of Optical Sciences, Tucson, Arizona 85721, USA. john.tamkin@gmail.com

Applied Optics
|September 8, 2010
PubMed
Summary

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

High-harmonic diffractive lens color compensation.

Applied optics·2021
Same author

Precision glass molding of diffractive optical elements with high surface quality.

Optics letters·2020
Same author

Multiple-order diffractive engineered surface lenses.

Applied optics·2020
Same author

Single-shot phase retrieval with complex diversity.

Optics letters·2019
Same author

Optimization of random phase diversity for adaptive optics using an LCoS spatial light modulator.

Applied optics·2019
Same author

Hyper-numerical aperture (NA = 2.8) microscope using λ = 1.56 µm femtosecond source for multi-photon imaging.

Biomedical optics express·2013

Manufacturing processes for aspheric and free-form optics create mid-spatial-frequency errors. These surface errors cause ripples in the modulation transfer function (MTF), with the drop in MTF nonlinearly related to error height.

Area of Science:

  • Optical engineering
  • Surface metrology
  • Image quality assessment

Background:

  • Aspheric and free-form surfaces offer enhanced optical performance and miniaturization.
  • Fabrication processes for these advanced surfaces introduce mid-spatial-frequency errors, distinct from spherical surfaces.
  • These errors manifest as ripples in the modulation transfer function (MTF), impacting image quality.

Purpose of the Study:

  • To analyze the impact of mid-spatial-frequency surface errors on optical system performance.
  • To derive a quantitative relationship between structured surface errors and modulation transfer function (MTF) degradation.
  • To understand the nonlinear behavior of MTF ripples caused by fabrication signatures.

Main Methods:

  • Utilized Fourier techniques with generalized functions to analyze surface error effects.

More Related Videos

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Related Experiment Videos

Last Updated: Jun 9, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

  • Modeled the relationship between peak-to-valley height of structured errors and MTF profile.
  • Investigated the mid-spatial-frequency region characteristic of aspheric and free-form surface fabrication.

    • Main Results:

    • Derived a method to quantify the drop in MTF caused by structured surface errors.
    • Demonstrated that the MTF drop exhibits a nonlinear relationship with the peak-to-valley height of the surface error.
    • Identified specific ripple patterns in the MTF profile attributable to mid-spatial-frequency structures.

    Conclusions:

    • Mid-spatial-frequency errors from aspheric and free-form optics significantly affect MTF.
    • The derived nonlinear relationship provides a predictive tool for optical designers.
    • Understanding these error signatures is crucial for optimizing the performance of advanced optical systems.