17.1 Introduction
17.2 Radio Communications
5.3 Reflection & Refraction
5.4 Huygens' Construction
5.5 Superposition of Waves
5.6 Stationary Waves
5.7 Interference & Diffraction
5.8 Sound Waves
5.9 Doppler Effect
5.10 Electromagnetic Waves
5.11 Polarization
17.1 Introduction
- Revolution in communications since Alexxander Bell in 1876.
- Now we have satellite & radio communicaations + internet.
- How do we transmit infomation so easilyy?
- How does radio & telephone work?
17.2 Radio Communication
- Human sound communication => voice (traansmitter) & ears (receiver) - this sound doesn't carry far & many voices at once is confusing.
Radio waves - carry information much further at electromagnetic (EM) waves - 3 x 108 m/s (vacuum).
Part of the EM spectrum
LW - long wave, MW - medium wave } broadcast radio
SW - short wave } broadcast public service & ammateur radio
VHF } FM radio, public
UHF } TV
Microwave - telephone micro-wave links, satellite
Radio waves - 10 kHz to 1000 MHz, human hearing - 20 Hz to 20,000 Hz.
The Transmitted Signal
- Communication systems (radio waves) traansmit information (sound, video, pictures, data)
- 2 signals make up - radio signal - 1. cconstant amplitude & frequency - carrier wave }
- 2nd signal carried inside 1st - 2. infoormation signal________________________.} modulation (mod.)
- information signal varies with differennt information________________________}
The Modulation Process
Several different ways - Morse code => on/off signals
_________________- Speech or music => more complex - 2 methods (Amplitude mod.(AM), frequency mod.(FM))
Amplitude Modulation
Information signal with carrier wave => Amplitude of carrier altered. Amplitude Modulation radio transmitter/receiver:
The Modulation Signal
Complex - mixture. Transmitter sends simple sound signal of single frequency, f0. RF carrier, fc (fc >> f0), mixer => 2 new frequencies fc + f0 & fc - f0. And mixer => f0 (audio), fc, fc + f0, fc - f0 (last 3 - radio)
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5.2 Description of Waves ( examples )
Wave profile:__wavelength ( l ), time period ( T ), phase relationship ( f ) - { between particles => time interval between particle maximums (y-axis) - as a fraction of period T. }
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5.3 Reflection & Refraction ( examples )
Phase changes on reflection: wave reflected at boundary going into denser medium ( vdense < v1 ), or phase change at barrier is 1/2 a wavelength on reflection.
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5.4 Huygens' Construction ( examples )
- Predicts future position of a wavefrontt. Principle - "every point on a wavefront can be regarded as a source of secondary, spherical wavelets and the new wavefront will be the surface which touches all secondary wavelets."
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5.5 Superposition of Waves ( examples )____ ( web simulation )
- When 2 waves meet they produce disturbances at the points where they overlap, this is called superposition (as a resultant vector).
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Interference - 2 periodic waves of equal frequency & amplitude meet at a point. The resultant disturbance µ phase difference.
Disturbance in phase = 2 x individual waves (constructive interference)
Disturbance out of phase (180°) = zero resultant (destructive interference)
Phase difference depends on : 1) initial phase of both waves. 2) path difference - the distances travelled by the 2 waves.
Beats - 2 waves of ' » ' equal frequency meet at a point Þ varying phase difference between them.
Resultant frequancy,
Beats are variations in the amplitude from the resultant superposition (1 beat cycle => after one wave completes one more oscillation than the other).
Beat frequency,
____f1 > f2
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5.6 Stationary Waves ( examples )
A stationary wave is produced when 2 progressive waves (= frequency, amplitude) travelling in opposite directions overlap. This can be demonstrated from the resultant of 2 wave trains passing over each other.
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Table - Stationary vs Progressive Waves
... |
Stationary |
Progressive |
Wave Profile |
Does not move in x-direction |
Moves through medium at speed v |
... |
Amplitude varies with time |
Constant amplitude* |
Particles' Motion |
All particles between neighbouring node and antinode have different amplitudes |
All particles have the same amplitude |
... |
All particles between neighbouring nodes move in phase |
All particles in one wavelength are out of phase |
Energy |
Stored on wave as vibrations |
Carried through medium by wave |
___________* unattenuated wave
Waves on Strings
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(L - 1/2 wavength, v - speed of wave, n - number of nodes/harmonics, f - frequency)
(T - tension, m - mass/length)
Experiment to investigate the relationship - f1 = (T/m)1/2/2L
from formula :
check relationships :_____f µ 1/L ,____f µ ÖT ,____f µ 1/Öm .
Waves in a Column of Air
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5.7 Diffraction ( examples )
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5.8 Sound Waves ( examples )
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5.9 Doppler Effect ( examples )
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5.10 Electromagnetic Waves ( examples )
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5.11 Polarization ( examples )
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Copyright © 2005 Brendan Darrer
Web Page Design: B.Darrer
Page Last Updated: November 2005