Frequency Domain Problem: Difference between revisions
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This is closely connected with the [[Fourier Transform in Time]]. Essentially after this | This is closely connected with the [[Fourier Transform in Time]]. Essentially after this | ||
we are left we a problem in which all time dependence is | we are left we a problem in which all time dependence is proportional to <math>e^{i\omega t}</math> | ||
and the resultant problem (for complex valued potential, displacement etc.) | |||
<math>e^{i\omega t}</math> | is said to be in the frequency domain (as opposed to the time domain). | ||
and the resultant problem is said to be in the frequency domain (as opposed to the time | |||
In many practical applications this is the only solution required. i.e. engineers simply want | In many practical applications this is the only solution required. i.e. engineers simply want | ||
a table of force as a function of frequency. | a table of force as a function of frequency. | ||
Revision as of 20:12, 22 April 2006
This is closely connected with the Fourier Transform in Time. Essentially after this we are left we a problem in which all time dependence is proportional to [math]\displaystyle{ e^{i\omega t} }[/math] and the resultant problem (for complex valued potential, displacement etc.) is said to be in the frequency domain (as opposed to the time domain). In many practical applications this is the only solution required. i.e. engineers simply want a table of force as a function of frequency.
