An absorption mode Lorentzian line, centred at frequency Ω is given by We are going to work
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We are going to work out the width of the line at half-height. Clearly, this is independent of the position of the line, so we can make the calculation simpler by assuming Ω = 0:
Show that the peak height is S0 and hence, by finding the values of Ï (there are two) for which A(Ï) = S0/(2R), show that the width of the line at half-height is 2R rads-1. Give the corresponding expression for the width in Hz.
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