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Quasinormal mode : ウィキペディア英語版
Quasinormal mode

Quasinormal modes (QNM) are the modes of energy dissipation of a perturbed object or field, ''i.e.'' they describe perturbations of a field that decay in time.
==Example==
A familiar example is the perturbation (gentle tap) of a wine glass with a knife: the glass begins to ring, it rings with a set, or superposition, of its natural frequencies — its modes of sonic energy dissipation. One could call these modes ''normal'' if the glass went on ringing forever. Here the amplitude of oscillation decays in time, so we call its modes ''quasi-normal''. To a very high degree of accuracy, quasinormal ringing can be approximated by
:\psi(t) \approx e^\cos\omega^t
where \psi\left(t\right) is the amplitude of oscillation,
\omega^ is the frequency, and
\omega^ is the decay rate. The quasinormal
frequency is described by two numbers,
:\omega = \left(\omega^ , \omega^\right)
or, more compactly
:\psi\left(t\right) \approx \operatorname(e^)
:\omega =\omega^ + i\omega^
Here, \mathbf is what is commonly referred to as the
quasinormal mode frequency. It is a complex number with two pieces of information: real part is the temporal oscillation; imaginary part is the temporal, exponential decay.
::
In certain cases the amplitude of the wave decays quickly, to follow the decay for a longer time one may plot \log\left|\psi(t)\right|
::

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Quasinormal mode」の詳細全文を読む



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