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Rayleigh Criterion Calculator

Solve θ = 1.22·λ / D step by step — free rayleigh criterion calculator with worked examples, real-world defaults and instant answers.

Rayleigh criterion θ = 1.22 λ/D.

About Rayleigh Criterion Calculator

The Rayleigh Criterion Calculator solves θ = 1.22·λ / D for you with the full working shown — every substitution, every unit, every step, exactly the way a good teacher writes it on the board. A 20 cm amateur telescope resolves 0.69″ — enough to split close double stars, and no eyepiece can do better: the APERTURE is the resolution, full stop.

How to use Rayleigh Criterion Calculator

  1. 1Enter your known values in the input fields (sensible real-world defaults are pre-filled).
  2. 2The tool substitutes them into θ = 1.22·λ / D and recomputes live.
  3. 3Read the answer in the result box, then expand the step-by-step solution to see the full working.
  4. 4Copy the method into your notebook, or change inputs to explore how the result behaves.

Why use Rayleigh Criterion Calculator?

  • Solves θ = 1.22·λ / D instantly as you type — no submit button, no waiting
  • Step-by-step solution shown for every calculation, not just the final answer
  • Realistic example values pre-loaded so you can see a worked example immediately
  • 100% free, no sign-up, runs entirely in your browser — your numbers never leave your device
  • Mobile-friendly and fast enough to use mid-homework or mid-lesson

Frequently asked questions

What formula does the Rayleigh Criterion Calculator use?+

It uses θ = 1.22·λ / D. The steps section shows the formula with your actual numbers substituted, so you can follow (and verify) every stage of the calculation rather than trusting a black box.

What should I keep in mind when using this calculator?+

A 20 cm amateur telescope resolves 0.69″ — enough to split close double stars, and no eyepiece can do better: the APERTURE is the resolution, full stop. The law is why telescopes grew to 10 m mirrors, why radio dishes federate into continent-sized arrays, and why spy satellites are basically big tubes.

Is the Rayleigh Criterion Calculator free to use?+

Completely free, with no sign-up or limits. All computation happens client-side in your browser, so it is fast, private, and works even on slow connections once the page has loaded.

Can I use this for homework, teaching or exam prep?+

That is exactly what it is built for. The step-by-step working mirrors how solutions are presented in class, so you can check homework, build worked examples for teaching, or practise method recall before exams.

Embed Rayleigh Criterion Calculator on your website

Want Rayleigh Criterion Calculatoron your own site? Paste this snippet into any HTML page — it's free, with no API key or sign-up. The tool loads in an iframe and keeps working exactly as it does here.

Embed code
<iframe src="https://tooljolt.com/tools/rayleigh-criterion-calculator" width="100%" height="640" style="border:1px solid #e5e7eb;border-radius:12px;max-width:680px" title="Rayleigh Criterion Calculator — ToolJolt" loading="lazy"></iframe>

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