Wave Number Range: 633nm Laser & 100MHz Radio

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The discussion focuses on calculating the central wavenumber for a 633 nm wavelength laser light and a 100 MHz radio wave, both associated with a 1 ns pulse. The central wavenumber is derived using the formula k = 2π/λ. Participants express confusion about the next steps, particularly whether Gaussian wave packets and Fourier transforms are necessary for determining the range of wave numbers. The conversation highlights the need for clarity on how to proceed with the calculations after finding the central wavenumber. Understanding the implications of wave packet behavior is essential for completing the analysis.
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Homework Statement


A 1ns pulse of electromagnetic waves would be 30cm long.
a) Consider such a pulse of 633 nm wavelength laser light. Find its central wavenumber and the range of wave numbers it is comprised of.
b) Repeat a except for a 1ns pulse of 100MHz radio
waves.


Homework Equations


k=\frac{2\pi}{\lambda}



The Attempt at a Solution


I got the central wavenumber with the above equation. But I am at a lost on where to go from there.
 
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Do I have to deal with the gaussian wave packet & fouier transform?
 

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