[optoelectronics] ch 2 reflection and refraction

《[optoelectronics] ch 2 reflection and refraction》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、REFLECTIONREFLECTIONandandREFRACTIONREFRACTION이이상상선선DivisionofElectricalandComputerEngineeringHanyangUniversityhttp://oeic.hanyang.ac.krCOMMUNICATIONRESEARCHLAB.REFLECTION&REFRACTIONREFLECTION&REFRACTION¢GeneralRemarks¢Lightcanbereflectedfromamirror.¢Li

2、ghtcanbetransmittedthroughmattersuchasglass.¢Lightcanbeabsorbedbymattersuchassand.¢LawsofReflectionandRefractionCOMMUNICATIONRESEARCHLAB.2REFLECTION&REFRACTIONREFLECTION&REFRACTION¢ReflectionTypes¢SpecularReflectionfroma¢DiffuseReflectionmirrorCOMMUNICA

3、TIONRESEARCHLAB.3REFLECTION&REFRACTIONREFLECTION&REFRACTION¢ReflectionandRefractionatanAir-WaterInterface¢LawofReflection'θ1=θ1COMMUNICATIONRESEARCHLAB.4REFLECTION&REFRACTIONREFLECTION&REFRACTION¢WavefrontDiagramofanAir-WaterInterfacesinθ1sinθ2=adbc¢whe

4、read=υ1∆tandbc=υ2∆tυ=velocityoflight¢Hencesinθ1sinθ2=υ1υ2Sinceυ1υ1n1==1andn2=υ1υ2¢Snell’sLawofRefractionn1sinθ1=n2sinθ2COMMUNICATIONRESEARCHLAB.5REFLECTION&REFRACTIONREFLECTION&REFRACTION¢IndexofRefractionυ2υ11λ1λ2===fn2fn2υ1sincen2=υ2υ2λ1υ1λ2=λ1==const

5、ant=nυ1λ2υ2IndexofRefractionofWaterCOMMUNICATIONRESEARCHLAB.6REFLECTION&REFRACTIONREFLECTION&REFRACTION¢ReflectionandRefractionattheBoundaryofTwoNonconductingMediaCOMMUNICATIONRESEARCHLAB.7REFLECTION&REFRACTIONREFLECTION&REFRACTIONr¢PropagationVector;κi

6、=zˆκisinθi+xˆκicosθirκr=zˆκrsinθr−xˆκrcosθrrκt=zˆκtsinθt+xˆκtcosθtrrrj(ωt−κ⋅r)j(ωt−κzsinθ−κxcosθ)¢ElectricFields;E=yˆEei=yˆEeiiiii0i0irj()ωt−κzsinθ+κxcosθE=yˆEerrrrr0rrj()ωt−κzsinθ−κxcosθE=yˆEettttt0t¢MagneticFields;rj()ωt−κzsinθ−κxcosθH()xHzHeiiiii=−ˆ0

7、isinθi+ˆ0icosθirj()ωt−κzsinθ+κxcosθH()xHzHerrrrr=−ˆ0rsinθr−ˆ0rcosθrrj()ωt−κzsinθ−κxcosθH()xHzHettttt=−ˆ0tsinθt+ˆ0tcosθtCOMMUNICATIONRESEARCHLAB.8REFLECTION&REFRACTIONREFLECTION&REFRACTION¢ApplyingBoundaryConditionsatx=0,E1t=E2trrrH1t=H2t¢Ei+Er=Etx=0x=0−

8、jκzsinθ−jκzsinθ−jκzsinθEeii+Eerr=Eett---(1)0i0r0trrr¢Hit+Hrt=Httx=0x=0−jκzsinθ−jκzsinθ−jκzsinθHeiiHerrHett0icosθi−0rcosθr=0tcosθt---(2)COMMUNICATIONRESEARCHLAB.9REFLECTION&REFRACTIONREFLECTION&REFRACTION¢Tosatisfy(1)forallz,κisin