transmission_line_models - class notes M Rodwell copyrighted 2009 ECE 145A 218 C notes set 1 Transmission Lines Mark Rodwell University of California

transmission_line_models - class notes M Rodwell...

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class notes, M. Rodwell, copyrighted 2009ECE 145A / 218 C, notes set 1: Transmission LinesMark RodwellUniversity of California, Santa Barbara [email protected] 805-893-3244, 805-893-3262 fax
class notes, M. Rodwell, copyrighted 2009Transmission LinesGeometriesCharacteristic ImpedancesGroup Velocity DispersionSkin Effect LossesSkin Effect Losses(substrate) radiation lossesExcitation of unwanted modes, suppressionPackaging and package resonances
tftypes oftiilitransmission lines
class notes, M. Rodwell, copyrighted 2009Transmission Lines for On-Wafer WiringW microstrip line+VgeometryvoltagescurrentsIH 0VIIW+2S II/2I/2coplanar waveguide0V0V+VW II/2I/20VH 0
class notes, M. Rodwell, copyrighted 2009Transmission Lines for On-Wafer Wiringcoplanar stripsgeometryvoltagescurrentsW+2S II-V+VW II0VH 0IIslotline0V+VG-V0VH 0
class notes, M. Rodwell, copyrighted 2009Substrate Microstrip LineW Dominant Transmission medium in III Vi&ICH III-V microwave & mm-wave ICsKey advantage: IC interconnects have very low ground-lead inductanceGround-lead inductance: -leads to ground-bounce-is Miller-multiplied by IC gain-is Miller-multiplied by IC gainKey problems:through wafer grounding holes (vias)through-wafer grounding holes (vias)coupling to TM modes in substrateVia inductance forces progressively thinner wafers at higher frequencies.
bithbasic theoryL C ZlitGL, C, Zo, velocity, Gamma
class notes, M. Rodwell, copyrighted 2009Transmission LinesA pair of wires with regular spacing, dielectric loadingalong the length. These have inductance per unit length and capacitance per unit length. FddForward and reverse waves propagate. Reflections will occur if lines are not correctly terminated
class notes, M. Rodwell, copyrighted 2009Transmission Lines: Basic TheoryLdzsZLZCdgenVLZCdzdtdILdzdVand)/()/(:lineofanalysisnodalbasicFrom=vztVvztVtzVdtdVCdzdIdtdILdzdV)/()/()(findwhich wefrom)/()/(and)/()/(++==+ZvztVZvztVtzIvztVvztVtzV)/()/(),()/()/(),(+=++=+LCCLZZZoo/1d/whereLCvCLZo/1and/==
class notes, M. Rodwell, copyrighted 2009Forward and Reverse Waveswaveforwardinvoltage)/(vztV+wavereversein voltage)/(waveforwardin voltage)/(vztVvztV++waveforwardin current )/(vztV+)/(ovztVZ+wavereversein current )/(oZvztV+
class notes, M. Rodwell, copyrighted 2009Velocity and Characteristic Impedance/1and/oLCvCLZ==/length.unit per quantitieshereareandcvCLε=andlight ofspeedtheiswhere/,effrccvε=linetheofconstant dielectriceffectivetheis,effrε
class notes, M. Rodwell, copyrighted 2009ReflectionssZLZgenV()olllZZVV=ΓΓ=+1where:lineofendAt LZ()olllZZVV+=ΓΓ=:lineofbeginningAt 1where()()osossgenssZZZZVTVV+=Γ+Γ=+11wheresoosZZZT+=andNeed good terminations to prevent line reflections and ringing
class notes, M. Rodwell, copyrighted 2009Total inductance & capacitance in a length of linellengthlilhihihlislength linetotalIfCτ=islength in that ecapacitancThen totalolengthZC=islength in that inductancetotalandolengthZLτ=linetheondelay"light ofspeed"/where==vllengthτ
class notes, M. Rodwell, copyrighted 2009

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