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Spectral Chirp Formula

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The Spectral Chirp pulse describes its characteristics in terms of its frequency components. Check FAQs

β = \frac{4 \cdot γ \cdot ({ζ sp}^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((γ^{2}) \cdot ({ζ sp}^{4}))}

β - Spectral Chirp?γ - Temporal Chirp?ζ_sp - Pulse Duration?

Spectral Chirp Example

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Here is how the Spectral Chirp equation looks like with Values.

Here is how the Spectral Chirp equation looks like with Units.

Here is how the Spectral Chirp equation looks like.

0.2353 = \frac{4 \cdot 17 \cdot (50^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((17^{2}) \cdot (50^{4}))}

0.2353 = \frac{4 \cdot 17 \cdot ({50fs}^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((17^{2}) \cdot ({50fs}^{4}))}

0.2353 = \frac{4 \cdot 17 \cdot (50^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((17^{2}) \cdot (50^{4}))}

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Spectral Chirp Solution

Follow our step by step solution on how to calculate Spectral Chirp?

FIRST Step Consider the formula

β = \frac{4 \cdot γ \cdot ({ζ sp}^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((γ^{2}) \cdot ({ζ sp}^{4}))}

Next Step Substitute values of Variables

∴

β = \frac{4 \cdot 17 \cdot ({50fs}^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((17^{2}) \cdot ({50fs}^{4}))}

Next Step Prepare to Evaluate

∴

β = \frac{4 \cdot 17 \cdot (50^{4})}{(16 \cdot ({\ln (2)}^{2})) + ((17^{2}) \cdot (50^{4}))}

Next Step Evaluate

∴

β = 0.235294116645667

LAST Step Rounding Answer

∴

β = 0.2353

Spectral Chirp Formula Elements

Variables

Functions

Spectral Chirp

The Spectral Chirp pulse describes its characteristics in terms of its frequency components.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Spectral Chirp

Temporal Chirp

Temporal Chirp is a parameter governing the rate of phase modulation.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Temporal Chirp

Pulse Duration

Pulse Duration is the interval between the time, during the first transition and the last transition.

Symbol: ζ_sp

Measurement: TimeUnit: fs

Note: Value can be positive or negative.

Formulas to find Pulse Duration

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

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How to Evaluate Spectral Chirp?

Spectral Chirp evaluator uses Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4))) to evaluate the Spectral Chirp, The Spectral Chirp formula is defined as its characteristics in terms of its frequency components. This frequency-domain representation is an alternative to the more familiar time-domain waveform. Spectral Chirp is denoted by β symbol.

How to evaluate Spectral Chirp using this online evaluator? To use this online evaluator for Spectral Chirp, enter Temporal Chirp (γ) & Pulse Duration (ζ_sp) and hit the calculate button.

FAQs on Spectral Chirp

What is the formula to find Spectral Chirp?

The formula of Spectral Chirp is expressed as Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4))). Here is an example- 0.235294 = (4*17*(5E-14^4))/((16*(ln(2)^2))+((17^2)*(5E-14^4))).

How to calculate Spectral Chirp?

With Temporal Chirp (γ) & Pulse Duration (ζ_sp) we can find Spectral Chirp using the formula - Spectral Chirp = (4*Temporal Chirp*(Pulse Duration^4))/((16*(ln(2)^2))+((Temporal Chirp^2)*(Pulse Duration^4))). This formula also uses Natural Logarithm Function function(s).

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Spectral Chirp Formula

Spectral Chirp Example

Spectral Chirp Solution

Spectral Chirp Formula Elements

Other formulas in Femtochemistry category

How to Evaluate Spectral Chirp?

FAQs on Spectral Chirp

Variable Name