# Ozone 3 - Waves Disturbances in space and time may or may...

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Waves Disturbances in space and time - may or may not be periodic. Water waves height of water Sound density of air Light electric and magnetic fields (electromagnetic radiation) Electromagnetic waves are periodic in both space and time.

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An ocean wave Viewed from helicopter Plotted from helicopter Plotted from beach - counting waves per second For this example λ = 10 m, ν = 0.1 s -1 , speed = 1 m s -1
Electromagnetic waves Periodic disturbances in space and time. Oscillating electric and magnetic fields oriented perpendicular to one another. A bit weird – Maxwell’s electromagnetic theory

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Electromagnetic radiation E 0 λ B 0
Electromagnetic waves A ( x , t ) =Ασιν(κξ-ϖτ 29 ϖ= 2 pu k =2π /λ c =λυ υ λ 0 wavevector angular frequency wavelength frequency c = 3 x 10 8 m s -1 the wave equation speed of light

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The wave equation c is the speed at which the wave moves, measured in meters per second (m sec -1 ) λ is the wavelength, the distance between adjacent crests or troughs - measured in meters or multiples thereof (m,cm,nm etc.) ν is a frequency - the number of cycles per second - measured in inverse seconds or Hertz (sec -1 or Hz)
The electromagnetic spectrum

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The electromagnetic spectrum
The electromagnetic spectrum

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Wavelength is inversely proportional to frequency

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The solar spectrum above Earth’s atmosphere
Quantum mechanics Classical (Newtonian) mechanics and classical electrodynamics (Maxwell) fail at atomic scale.

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## This note was uploaded on 03/21/2012 for the course UGS 303 taught by Professor Foster during the Fall '08 term at University of Texas.

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Ozone 3 - Waves Disturbances in space and time may or may...

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