Next Physical Optics  Up Contents  Previous Circular Motion, Gravitation & SHM   Contents

A Level Physics

17. Communications

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
Electromagnetic (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:

Block diagram for an amplitude modulated radio transmitter

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)

Graphical representation of audio, radio and amplitude modulation (AM) signals


_________________________________________________

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. }

Wave Profile - also: transverse y (displ. 90' to x), longitudinal y (=> displ. in x direction)
displacement vs time, speed of wave v, period T, frequency f

_________________________________________________

5.3 Reflection & Refraction ( examples )

Reflection & Refraction, Snell's law - see optics
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.

Phase changes on reflection

_________________________________________________

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."

Huygens' Principle Huygens' principle : reflection

Huygens' principle : refraction

Snell's Law


_________________________________________________

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).

____resultant of 2 waves ____Disturbances : anti-nodal - constructive interference, nodal - destructive interference

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.

path difference

Beats - 2 waves of ' » ' equal frequency meet at a point Þ varying phase difference between them.
Beat frequency - 2 waves & superposition
Resultant frequancy, resultant is average of 2 component frequencies
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, resultant is average of 2 component frequencies____f1 > f2

_________________________________________________

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.

_______stationary waves - superposition of 2 progressive waves

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

_______waves on strings - 1st 2 modes

frequency of modes of vibration (L - 1/2 wavength, v - speed of wave, n - number of nodes/harmonics, f - frequency)

velocity of a wave on a string (T - tension, m - mass/length)

Experiment to investigate the relationship - f1 = (T/m)1/2/2L
investigating 1st harmonics using sonometer
from formula : 1st harmonic frequency w.r.t. L, T & m check relationships :_____f µ 1/L ,____f µ ÖT ,____f µ 1/Öm .

Waves in a Column of Air

harmonics in pipes/column's of air _____ actual position of displacement antinode (open end)

_________________________________________________

5.7 Diffraction ( examples )

_________________________________________________

5.8 Sound Waves ( examples )

_________________________________________________

5.9 Doppler Effect ( examples )

_________________________________________________

5.10 Electromagnetic Waves ( examples )

_________________________________________________

5.11 Polarization ( examples )

_________________________________________________

_ Copyright © 2005 Brendan Darrer

Web Page Design: B.Darrer
Page Last Updated: November 2005