Diffraction-Limited MTF Calculator
Ideal unobscured circular pupil INCOHERENT diffraction MTF with normalized frequency0–1; not coherent transfer, aberrations or measured optical quality. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
A diffraction-limited incoherent circular-aperture MTF relates contrast transfer to normalized spatial frequency.
A diffraction-limited incoherent circular-aperture MTF relates contrast transfer to normalized spatial frequency.1
The ideal curve excludes aberrations and the rest of an imaging system's response. Use this tool to calculate diffraction-Limited MTF from the supplied measurements and assumptions.
When to use Diffraction-Limited MTF Calculator
Use this tool to calculate diffraction-Limited MTF from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
How to use Diffraction-Limited MTF Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter normalizedSpatialFrequencies, using the field meanings and rules below, then run the tool.
- Read circularIncoherentDiffractionMtf. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| normalizedSpatialFrequencies | Normalized spatial frequencies | list of number | Required |
Enter a list of normalized spatial-frequency fractions in [0,1]. Return 2/π×(acos(f)−f×sqrt(1−f²)) in input order, including 1 at f=0 and 0 at f=1. No cutoff-frequency calculation, aberration model or measured-system fitting is supplied.
MTF(f)=2/π×(acos(f)−f×sqrt(1−f²)) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| circularIncoherentDiffractionMtf | Circular Incoherent Diffraction Mtf; follow the units, sign, ordering and evidence convention stated above | list of number |
{
"input": {
"normalizedSpatialFrequencies": [
0,
0.5,
1
]
},
"output": {
"circularIncoherentDiffractionMtf": [
1,
0.39100221895577075,
0
]
}
}Limitations and assumptions
The ideal curve excludes aberrations and the rest of an imaging system's response. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Surface Roughness Ra Calculator for this related task: Ra averages absolute profile deviation from a defined mean line.
Use Nyquist Stability Calculator when its separate inputs and assumptions fit the question: A Nyquist polygon's winding about minus one connects contour geometry with a declared open-loop pole count.
References
-
Diffraction-Limited MTF Calculator — tool.io
Similar or alternative tools
- Surface Roughness Ra Calculator
Ra averages absolute profile deviation from a defined mean line.
- Nyquist Stability Calculator
A Nyquist polygon's winding about minus one connects contour geometry with a declared open-loop pole count.