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GAUSSIAN PULSE TIME BANDWIDTH

Gaussian Pulse Time Bandwidth Calculator

Calculate a transform-limited Gaussian intensity bandwidth from pulse duration and a narrowband wavelength equivalent.

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Result

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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 intensity full width at half maximum in both time and frequency and distinguish frequency bandwidth from wavelength approximation.

    Δt Δν=2ln2/π; narrowband Δλ≈λ0² Δν/c

    Worked example

    100 fs Gaussian transform-limited pulses require about4.412712 THz intensity bandwidth.

    Assumptions and input details

    Transform-limited Gaussian envelope, no chirp. Wavelength approximation is reported only for Δν/center frequency≤0.1. No pulse retrieval, spectral shape measurement, material dispersion or laser specification.

    References: RP Photonics: Gaussian pulse definition

    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.

    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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