Wave Number Range: 633nm Laser & 100MHz Radio

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SUMMARY

The discussion focuses on calculating the central wavenumber and the range of wave numbers for a 633 nm wavelength laser light pulse and a 100 MHz radio wave pulse, both with a duration of 1 ns. The central wavenumber is derived using the formula k = 2π/λ. For the 633 nm laser, the central wavenumber is approximately 9.94 x 106 m-1. The analysis of the 100 MHz radio wave requires consideration of the Gaussian wave packet and Fourier transform to determine its range of wave numbers.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the concept of wavenumber
  • Knowledge of Gaussian wave packets
  • Basic principles of Fourier transforms
NEXT STEPS
  • Study the derivation of wavenumber from wavelength in electromagnetic waves
  • Learn about Gaussian wave packets and their characteristics
  • Explore Fourier transform applications in wave analysis
  • Investigate the relationship between pulse duration and frequency in wave phenomena
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Students and professionals in physics, particularly those studying wave mechanics, optics, and signal processing, will benefit from this discussion.

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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


[tex]k=\frac{2\pi}{\lambda}[/tex]



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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