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FABRY PEROT ETALON

Fabry Perot Etalon Calculator

Calculate ideal equal-mirror cavity free spectral range, exact Airy half-height finesse and normalized detuned transmission.

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Use a lossless symmetric plane-parallel cavity at fixed internal angle and extract the exact Airy half-height width.

    FSR=c/(2nL cosθ); Airy F=4R/(1−R)²; finesse=π/(2asin(1/√F))

    Worked example

    A 1 cm air cavity at normal incidence has FSR 14.9896229 GHz. Its resonance-normalized transmission is one at zero frequency detuning.

    Assumptions and input details

    Equal mirrors, fixed real index, no dispersion/group-index correction, absorption, coating phase, walkoff or actual cavity mode matching. Reflectance ≥0.2 ensures a half-maximum width exists. Detuning is reduced modulo the FSR numerically; ratio is limited to 1e9.

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.

    Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.

    SI prefixes are explicit: for example, milli means one thousandth, micro one millionth and kilo one thousand. Changing a unit changes the interpretation of the entered number.

    NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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