Modulation Transfer Function Calculator

This calculator computes the Modulation Transfer Function (MTF) of an optical system, which characterizes its ability to transmit contrast at different spatial frequencies.

Input Parameters

Calculation Results

Calculation Results

MTF Value:

-

Resolution Limit (lp/mm):

-

Calculation Formula

MTF = sin²(π·NA·λ·sin(θ)/λ)

Where:
MTF = Modulation Transfer Function
NA = Numerical Aperture
λ = Wavelength (in mm)
θ = Spatial Frequency (in cycles/mm)

Modulation Transfer Function Calculator Usage Guide

Learn how to use the Modulation Transfer Function Calculator and understand its significance in optical systems

What is Modulation Transfer Function (MTF)?

The Modulation Transfer Function (MTF) is a measure of the ability of an optical system to transfer contrast from an object to an image. It varies with spatial frequency and is typically expressed as a function of the spatial frequency in cycles per millimeter (lp/mm).

How to Use This Calculator

  1. Enter the spatial frequency in cycles per millimeter (lp/mm)
  2. Input the wavelength of light in nanometers (nm)
  3. Specify the aperture diameter in millimeters (mm)
  4. Provide the numerical aperture (NA) of the optical system
  5. Click the "Calculate" button to compute the MTF value and resolution limit

Interpreting the Results

The MTF value ranges from 0 to 1, where:

  • MTF = 1 indicates perfect transmission of contrast at that spatial frequency
  • MTF = 0 indicates complete loss of contrast at that spatial frequency

The resolution limit (in lp/mm) represents the highest spatial frequency that can be resolved by the system under given conditions.

Practical Applications

MTF is crucial in evaluating the performance of:

  • Microscopes
  • Cameras
  • Optical scanners
  • Projectors

Optical designers use MTF curves to optimize system performance for specific applications, balancing resolution requirements with other factors like aberrations and light throughput.