Spectral Chirp Formula

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The Spectral Chirp pulse describes its characteristics in terms of its frequency components. Check FAQs
β=4γ(ζsp4)(16(ln(2)2))+((γ2)(ζsp4))
β - Spectral Chirp?γ - Temporal Chirp?ζsp - Pulse Duration?

Spectral Chirp Example

With values
With units
Only example

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.

0.2353Edit=417Edit(50Edit4)(16(ln(2)2))+((17Edit2)(50Edit4))
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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=4γ(ζsp4)(16(ln(2)2))+((γ2)(ζsp4))
Next Step Substitute values of Variables
β=417(50fs4)(16(ln(2)2))+((172)(50fs4))
Next Step Prepare to Evaluate
β=417(504)(16(ln(2)2))+((172)(504))
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.
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.
Pulse Duration
Pulse Duration is the interval between the time, during the first transition and the last transition.
Symbol: ζsp
Measurement: TimeUnit: fs
Note: Value can be positive or negative.
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other formulas in Femtochemistry category

​Go Bond Breakage Time
ζBB=(Lv)ln(4Eδ)
​Go Potential for Exponential Repulsion
V=E(sech(vt2L))2
​Go Recoil Energy for Bond Breaking
E=(12)μ(v2)
​Go Observed Lifetime Given Reduced Mass
τobs=μ[BoltZ]T8πPσ

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 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 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 (ln) function(s).
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