Frequency Domain Problem

This is closely connected with the Fourier Transform in Time. Essentially after this we are left with a problem in which all time dependence is proportional to

[math]\displaystyle{ \exp (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. Often the dependence is taken as

[math]\displaystyle{ \exp (-i\omega t)\, }[/math]

but we will not use this convention in this wiki.