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1、在非线性介质中的光传播行为（Lightpropagationbehaviorinnonlinearmedia）LightpropagationinnonlinearmediumWen/ShiMingfengAbriefintroductionIn1834,aScotlandscientistJohnS.Russell[1]alonganarrowandshallowcanalriding,hefoundthefollowingscene,whenaboatsuddenlystopped,hadbeenpromotedinthebowinfrontofthewaterbe
2、causeofinertialrelationscontinuetomoveforward,strangeisthatinthissingle"water.Thefrontandrearofthecanalwaterisverycalmandnofluctuation,hecuriouslyridingfollowthesingle"raisedwater"walkedseveralmiles,andfoundthatthisprojectionoftheshapeandsizeofthewater"stilldonotseeanychangeinRussellisin
3、hisnotebookforhimobservethata"solitaryrose"(solitaryelevation)wavephenomenon.50yearslater,twoHollandKorteweganddeVriesfoundthatscientiststoobservethephenomenonofthe"isolatedwaverises",therisingwateramplitudemustbeverylarge,ifnotthesurfaceofthelargeamplituderises,cancausewaves,andwillspre
4、adsoondissipated.Theylearnedthatthisrepresentsalargeamplitudeandsmallamplitudewaveswillhavedifferentbehaviors,butalsocanbesaidtomediumwater-thewaterwavepropagation-reactionofthewaveamplitudeisnonlinear.Wenowreturntothethemeoflightpropagationinnonlinearmaterialbehavior,althoughweareincoll
5、egewhenelectromagnetismandelectromagneticwave,alwaysinthetextbookexamplesorexercisesintheassumptionofelectromagneticwavepropagationmediumislinear,whichmeansthatwhethertheelectromagneticwaveamplitudesize,Therefractiveindex(functionofdielectriccoefficientandmagneticdielectriccoefficient)wi
6、llnotchange,soinsolvingdifferentialequations,linearsolutionisrelativelyeasy,butonbehalfofthedielectriccoefficientistheelectricfield(E)andpolarization(P)theproportionoftherelationshipbetweenthelawofHookeasthespring,whentheexternalforcetoacertainextent,thedeformationandforceofspringisnotpr
7、oportionaltothesame,whentheelectricfieldintensitytoacertainextent,polarizationandelectricfieldisnotproportional,sothedielectriccoefficientintheelectromagneticfieldoflargeamplitude,lowvalueandelectricfieldamplitudemustbedifferent,thatmeanstheresponseofelectromagneticwavepr
