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lec03

lec03 - circuit theory • Model takes into account line...

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EE3113_L3 1 EE 3113 INTRODUCTION INTO RF CIRCUIT DESIGN Lecture Notes for A-term 1999 LECTURE 3 Prof. R. Ludwig Department of Electrical and Computer Engineering Worcester Polytechnic Institute Worcester, MA 01619 copyright © 1999, R. Ludwig Copyright, 1998 © R. Ludwig
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EE3113_L3 2 Transmission Line Analysis • Propagating electric field • Phase velocity • Traveling voltage wave ) cos( 0 kz t E E X X - = w Time factor Space factor r p c f v e em l = = = 1 k kz t E t z V X ) sin( ) , ( 0 - = w
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EE3113_L3 3 High frequency implies spatial voltage distribution • Voltage has a time and space behavior • Space is neglected for low frequency applications • For RF there can be a large spatial variation
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EE3113_L3 4 Generic way to measure spatial voltage variations • For low frequency (1MHz) Kirchhoff’s laws apply • For high frequency (1GHz) Kirchhoff’s laws do not apply anymore
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EE3113_L3 5 Kirchhoff’s laws on a microscopic level • Over a differential section we can again use basic
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Unformatted text preview: circuit theory • Model takes into account line losses and dielectric losses • Ideal line involves only L and C EE3113_L3 6 Example of transmission line: Two-wire line • Alternating electric field between conductors • alternating magnetic field surrounding conductors • dielectric medium tends to confine field inside material EE3113_L3 7 Example of transmission line: Coaxial cable • Electric field is completely contained within both conductors • Perfect shielding of magnetic field • TEM modes up to a certain cut-off frequency E H EE3113_L3 8 Example of transmission line: Microstip line Cross-sectional view Low dielectric medium High dielectric medium EE3113_L3 9 Triple-layer transmission line Conductor is completely shielded between two ground planes Cross-sectional view...
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