Lorentzian Function
Lorentzian Function
\[y = \frac{a}{1+\left(\frac{x-b}{c}\right)^2}\]
Variables
y = function value
a = peak amplitude
b = center position
c = half-width parameter
x = independent variable
Description
What is this formula?
This formula represents a Lorentzian function, commonly used to describe resonance peaks and spectral line shapes with long tails.
When to use it
Use this formula when modeling resonance phenomena, spectral distributions or frequency response curves.
Example
For:
a=8
b=0
c=2
x=1
y=8/(1+((1/2)²))
y=8/(1+0.25)
y=6.4
Applications
Spectroscopy
Resonance analysis
Signal processing
Physics
Electrical engineering
Frequency response modeling
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