Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Transfer Function in Control Systems

Transfer Function in Control Systems

The transfer function is a fundamental concept in the analysis and design of linear time-invariant (LTI) systems. It offers a concise way to understand how a system responds to different inputs in the frequency domain. It serves as a bridge between the time-domain differential equations that describe system dynamics and the frequency-domain representation that facilitates easier manipulation and analysis.
To derive the transfer function, consider a general nth-order linear time-invariant...

Calibration Curves: Correlation Coefficient

Calibration Curves: Correlation Coefficient

In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the other increases, and...

Network Function of a Circuit

Network Function of a Circuit

Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.

You might also read

Related Articles

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

Sort by

Same author

Magnified grating images used in displacement sensing.

Applied optics·2010

Same author

Imaging with photographic diffusers.

Applied optics·2010

Same author

Real-time image subtraction using complementary photographic diffusers.

Applied optics·2010

Same author

Multicolor wave front reconstruction in white light.

Applied optics·2010

Same author

Optical correlator: a device based on correlated random partial diffusers.

Applied optics·2010

Same author

Optical correlator using partial diffusers.

Applied optics·2010

Search research articles

Related Experiment Video

Updated: Jun 15, 2026

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Published on: August 2, 2018

Autocorrelation method for measuring the transfer function of optical systems.

C P Grover, H M van Driel

|March 12, 2010

Summary

This summary is machine-generated.

This study introduces a novel autocorrelation method for measuring optical system transfer functions using sheared diffusers. The technique offers a simple, inexpensive way to automatically display optical transfer functions.

More Related Videos

A Stable Phantom Material for Optical and Acoustic Imaging

A Stable Phantom Material for Optical and Acoustic Imaging

Published on: June 16, 2023

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Related Experiment Videos

Last Updated: Jun 15, 2026

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Confocal Microscopy Reveals Cell Surface Receptor Aggregation Through Image Correlation Spectroscopy

Published on: August 2, 2018

A Stable Phantom Material for Optical and Acoustic Imaging

A Stable Phantom Material for Optical and Acoustic Imaging

Published on: June 16, 2023

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Area of Science:

Optics and Photonics
Optical Metrology

Background:

Accurate measurement of the optical transfer function (OTF) is crucial for characterizing imaging system performance.
Traditional OTF measurement techniques can be complex and expensive.

Purpose of the Study:

To present an unconventional autocorrelation method for measuring the transfer function of optical systems.
To demonstrate a simple and inexpensive device for automatic OTF display.

Main Methods:

Utilizing interference between scattered waves from two laterally sheared correlated partial diffusers.
Employing a detector sensitive to an extremely narrow band of spatial frequencies.
Continuously varying the shear between diffusers for automatic transfer function display.

Main Results:

The detector output is proportional to the autocorrelation of the system pupil function.
Experimental results validating the theoretical framework are presented.
A study on parameters affecting instrument performance is provided.

Conclusions:

The described autocorrelation method provides a straightforward and cost-effective approach to measuring optical system transfer functions.
The developed device enables automatic and efficient display of the transfer function.
This technique offers a valuable tool for optical system characterization and development.