Difference between revisions 111804646 and 111804652 on dewiki

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Parametric oscillator
{{Importartikel}}⏎
A '''parametric oscillator''' is a simple [[harmonic oscillator]] whose parameters (its resonant frequency <math>\omega</math> and damping <math>\beta</math>) vary in time in a defined way

:<math>
\frac{d^{2}x}{dt^{2}} + \beta(t) \frac{dx}{dt} + \omega^{2}(t) x = 0
</math>

This equation is linear in <math>x(t)</math>.  By assumption, the parameters 
(contracted; show full)

Pungs L. DRGM Nr. 588 822 (24 October 1913); DRP Nr. 281440 (1913); 
''Elektrotech. Z.'', '''44''', 78-81 (1923?); ''Proc. IRE'', '''49''', 378 (1961).

Mumford WW. (1961) "Some Notes on the History of Parametric Transducers", 
''Proc. IRE'', '''48''', 848-853.


<pre>⏎
==See also==

* [[Harmonic oscillator]]
* [[Optical parametric oscillator]]
* [[Optical parametric amplifier]]

[[Category:Oscillators]]
[[Category:Amplifiers]]
[[Category:Dynamical systems]]
[[Category:Ordinary differential equations]]⏎
⏎
</pre>