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ElectromagneticTheoryofLight
Classicalwaveconcept
1.OnedimensionalwaveIntheclassicalterm,“waveconcept”isdistinctfrom“particleconcept”Afeatureof“classicalparticle”isitslocalisation—anobjectisconfinedtoverysmallregionAfeatureof“classicalwave”isitsnon-localisation:—self-sustaining,propagatingdisturbanceofamediumoveralongdistance
One-DimensionalWaves
Term“classical”Inthiscourse,itreferstophysicalphenomenaoccurringatascaleorsizeofnolessthan~10micronsOtherwise,itisaquantumphenomenonNotethatprecisedemarcationlinebetweentheclassicalworldandthequantumworldisthehotresearchtopicnowadays
Waves:Non-Localisation1stfeature=“medium”—Spring,string,water,air,human,etc.—Solid,liquid,andgas—Themediumdoesnotadvance,afterthedisturbanceitreturnstoitsoriginalbalancedposition
Waves:Non-Localisation2ndfeature=“disturbance”—Thedisturbanceadvances,travels,propagates,movesoutwards,ormoveforwards,—Thedisturbancetransportsorcarriesenergyandmomentum—Thedisturbanceisacontinuousentity
TypesofWavesClassifiedaccordingtodisplacementdirection—Longitudinal=paralleltotravellingdirection—Transverse=perpendiculartotravellingdirectionClassifiedaccordingtoperiodicornon-periodicClassifiedaccordingtotravellingorstandingClassifiedaccordingto1,2,or3dimensioning
Disturbance=yItisafunctionofthepositionandthetime y=f(x,t)Atafixedtime,ithasashape(orprofile)—Spatialprofileatt=t0: y(x,t)=f(x,t0)=g(x)—Temporalprofileatx=x0: y(x,t)=f(x0,t)=h(t)
DisturbanceItmaybe—Mediumdisplacement(unit:meter)—Temperature(unit:Kelvin)—Pressure(unit:Newton/meter2)Classifiedaccordingtomedium—Waterwave,soundwavesmechanical—Heatwavesthermal—Mexicanwaves
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