Finding Neper Frequency in RLC & Filter Circuits

[haxor489]

I don't quite have a good understanding of what exactly the neper frequency is. I've seen it derived it from certain circuits before and it was never really clear what it was. In a series RLC circuit it was simple enough to find since we were given a nice second order differential from which to take to the S domain and solve for with a quadratic formula and then pull out the neper frequency from :

-α +-√α²-ω_o²

α-neper frequency
ω_o- resonant radian frequency

In a filter such as (see attachment) how would one derive the neper frequency since it does not fall so neatly into a second order polynomial. I get

s²-[1/(L₁(C₁+C₂)]

which doesn't fall so neatly into the quadratic formula nor has a term in the first order. Am i to assume this filter has no neper frequency? Or a Q factor?

Thanks for your time

 

[anorlunda]

Your question doesn't make sense as states. A neper is a ration between two quantities. There must be some additional context you are not telling us.