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SJSU EE 140 - soln140_MT2_F14

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EE 140 Mid-Term 2 Dr. Ray Kwok x y z t=0 t=+ x y z t=0 t=+ Name: (Last, First) __________________________________________ 1) A 159 MHz LHCP electromagnetic wave is incident normally (along the z-direction) from air onto a lossless dielectric medium (εr = 4, z > 0) such that Eoi(0,0) at the origin is 2 V/m along the x-direction. Write the incident Ei(r,t) and reflected Er(r,t) wave expressions. What is the polarization state of the reflected wave? )33.310sin(2ˆ)33.310cos(2ˆ),(33.3310102)sin(2ˆ)cos(2ˆ),(ˆ999ztyztxtrEckfzktyzktxtrEzkkioooioi−−−======−−−==rrrrrωπωωωV/m )33.310sin(32ˆ)33.310cos(32ˆ),(ˆ312121992121ztyztxtrEzkknnnnror+++−=−=−=+−=+−=ΓrrrV/m RHCPEE 140 Mid-Term 2 Dr. Ray Kwok incidence transmission reflection θθθθi θθθθr θθθθt n1 n2 Ei ki Hi Et kt Ht Er kr Hr z y O 2) A plane wave is propagating in air, upon an interface defined by medium of z > 0, εr = 4, µr = 1 and loss tangent of 0.001. If the incident electric field intensity is given by V/m, what is Ht(r,t)? What is the angular frequency ω ? )5.02cos(2ˆ),( +−+= zytxtrEiωrr8811071.6)24.2)(103(6.2621tan24.25ˆ2ˆ⋅=⋅======+−=−ooioickkzykωθrottotinn9.12sin)2(6.26sin)1(sinsin21===θθθθ( )( )( )( )( )( )( )( )( )( )( ))5.04.4107.6cos(49.1ˆ48.6ˆ),()5.04.4107.6cos(00668.0223.0ˆ97.0ˆ),(5.0cossinˆcosˆ),(4.4ˆˆ9.12cosˆ9.12sinˆ48.4cosˆsinˆ48.4)2)(24.2(00224.0001.0103241071.6tan2'"200668.0377)2)(26.1(26.1)2)(63.0(63.09.12cos)2(6.26cos)1(6.26cos)1(2coscoscos280022.000011.080022.000011.0cossin2222882//211+−+⋅+=+−+⋅+=+⋅−+=+−=+−=+−=======⋅⋅===========+=+=−−+−−⊥zytezytrHzytezytrHrkteHzytrHzyzyzykknkcnvkcEEHEEnnnzytzyttzyottttootttororotototoiotoootiittrrrrrrrrrωθθθθωωδεωεεµεωαηεητθθθτθθαrad/sec mA/mEE 140 Mid-Term 2 Dr. Ray Kwok P1 = ? P2 = ? P3 = ? P4 = ? 3) A laser (λ = 900 nm) of parallel polarization is shined onto a 1-cm thick piece of lossless glass (n = 1.5) at an incident angle of 30o. One observes multiple reflections and transmissions on either side of the glass. Calculate the relative power (in dB, relative to the incident power) of the first 2 reflections and 2 transmissions as shown in figure. ( ) ( ) ( )( )( )( )( )(


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SJSU EE 140 - soln140_MT2_F14

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