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Results tagged with normal-modes
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user 31790
Normal modes refer to fundamental patterns of motion of a system which oscillate at fixed, well defined frequencies. They may be used as building blocks for more complicated motions.
4
votes
Accepted
Modes inside a cavity and black body radiation
It's true that a hollow conductor has a minimum cutoff frequency.
However, a hollow conductor is not a black body.
A black body has perfect absorption of radiation at all frequencies, while a perfect …
- 25k
1
vote
Accepted
Normal modes of two parallel $LC$ oscillators coupled via mutual inductance
Your question seems to contain two parts.
First, you're asking how to set up the equations of motion for this coupled system.
Second, you are asking how to use symmetry considerations to find the norm …
- 25k
3
votes
Accepted
Inverse of a series (solid state)
You can use the orthogonality of the sinusoids to do the inversion.
First, multiply both sides by $\sin (l a n)$ where $l$ is an integer:
$$y_n(t) \sin(l a n) = \sum_k A_k(t) \sin(k a n) \sin(l a n). …
- 25k
5
votes
Accepted
What happens between two harmonics?
First of all, to have standing waves you must be talking about a wave carrying system with spatial extent: something like a guitar string. Such a system has a set of possible vibrational modes. The fi …
- 25k