New answers tagged resonance
Let's first get some kind of definition of what resonance actually is. Wikipedia says the following: In physics, resonance is a phenomenon that consists of a given system being driven by another vibrating system or by external forces to oscillate with greater amplitude at some preferential frequencies. Essentially, some amplitude becomes bigger at a ...
Have a look at this paper - hopefully it will be useful. http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.2257
there has to be at least two independent "states" where some physical quantity is sloshing back-and-forth between those states. then the amount of physical storage of energy must exceed one-half of the amount of energy dissipated each cycle that this physical quantity is sloshed back-and-forth. this means the resulting differential equation (if this system ...
As a general rule, two "degenerate" oscillators (i.e. two oscillators with the same frequency) will no longer have the same frequency if they interact with each other, however weakly; the degeneracy is usually broken. So if you have two identical resonators with a fundamental of 11 Hz, and you bring them together, the combined system will have resonant ...
For macroscopic systems some physical means must be present for energy to flow between potential and kinetic states, or magnetic and electrical fields. The flow must also not be subject to energy loss. Apples do not have the properties that allow such a flow of energy. Apples do not 'ring' when they are subjected to an impulse of energy. Almost all the ...
So far the best commercial unit I've found for this is this one: http://www.enoscientific.com/well-watch-600.htm They use a 60 hz audio signal, with some signal processing to reject false returns and do edge detection. It records to a flash card, has a USB port for downloading, and optional radio access.
What you seem to be referring to (a guess from your mention of quantum tunneling) is perhaps near-field magnetic induction. Here's a summary - magnetic coils have a near-field region around them, the primary contriubtion to which involves minimal radiation of power. This region is dominated by the response of the coils (for example) to the fields, and is ...
I cannot see the image for some reason, but I think $\gamma$ is rather small there. The term $\gamma^2\omega^2$ shifts the maximum position, as a matter of fact. You took a rather strong "friction" ($\gamma=1$), which makes the resonance "frequency" smaller (longer period T). It is physically comprehensible.
The modeling of resonant systems whether they be mechanical, electrical or whatever by differential equations allows one to express them in terms of a transfer function . The transfer function relates an output (response) with an input (excitation). For resonant transfer functions, especially those with a high Q or quality factor there is significant ...
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