AWR eBooks

Table of Contents I Contents 1 Fundamentals of Electrical Circuits ................................................................................................. 1 1.1 Making the transition from DC and AC to Radio Frequency ................................................... 1 1.2 Voltage (V) and Electric Field (E) ............................................................................................. 3 1.3 Current (I) and Magnetic Field (H) .......................................................................................... 5 1.4 V & I or E & H ? ........................................................................................................................ 6 1.4.1 Resistors .......................................................................................................................... 6 1.4.2 Capacitors ....................................................................................................................... 7 1.4.3 Inductors ......................................................................................................................... 9 1.5 The significance of reactive components equations ............................................................ 11 1.5.1 Introduction .................................................................................................................. 11 1.5.2 Derivatives .................................................................................................................... 11 1.5.3 Complex Numbers and Impedance ............................................................................... 16 1.5.4 Exponential Functions ................................................................................................... 19 1.5.5 Imaginary impedances are VERY real! .......................................................................... 25 1.6 Animations and Video Tutorials ............................................................................................ 27 1.7 Conclusions ........................................................................................................................... 28 2 Conveying Power at Radio Frequency .......................................................................................... 29 2.1 Introduction .......................................................................................................................... 29 2.2 The true sense of Wavelength .............................................................................................. 31 2.3 Transmission Lines – an Introduction ................................................................................... 37 2.4 Finite Length transmission line ............................................................................................. 43 2.5 Reflection of DC voltage in Transmission lines ..................................................................... 46 2.5.1 Line Terminated with an open circuit ........................................................................... 46 2.5.2 Line terminated with a short circuit.............................................................................. 58 2.6 "Long" and "Short" Transmission Lines ................................................................................ 69 2.7 Standing waves and resonance ............................................................................................. 70 2.8 Reflection and Transmission in unterminated, shorted, matched and mismatched lines ... 73 2.8.1 Open circuit termination ............................................................................................... 75 2.8.2 Short Circuit .................................................................................................................. 80 2.8.3 Matched Line................................................................................................................ 86 2.8.4 Mismatched line Z L < Z 0 .................................................................................................. 87 2.8.5 Mismatched line, Z L > Z 0 ................................................................................................. 90 Conquer Radio Frequency III www.cadence.com/go/awr

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