Smith Chart & Matching Anurag Nigam.

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Presentation transcript:

Smith Chart & Matching Anurag Nigam

NatTel Microsystems Pvt. Ltd. Tutorial 4 Day1 NatTel Microsystems Pvt. Ltd.

NatTel Microsystems Pvt. Ltd. Lab Objectives In this lab exercise we will Modify UMS PH15 Process Substrate to accommodate Air Bridge and Open Substrate at the bottom to simulate distributed ground condition. Simulate single and two via inductances Design a small signal tuned gain stage with effect of via inductance included in performance Design 50Ω and Non 50Ω Planar Lines Visualize Currents in Planar Lines NatTel Microsystems Pvt. Ltd.

NatTel Microsystems Pvt. Ltd. Telegraph Equations Passive Structures used for transmission of Microwave Signals in Microwave Circuits are called Transmission Lines. Various Forms of Transmission Lines are Microstrip, Strip & Slot Lines, Coplanar Waveguides, Twisted Pair Wire and Coaxial Lines. Equations governing Voltage and Current Relationship at any point on Transmission Line are called Telegraph Equation. R Series Resistance of both the conductors per unit length (/m) L Series Inductance of both the conductors per unit length (H/m) G Shunt Conductance between two conductors per unit length (S/m) C Shunt Capacitance between two conductors per unit length (C/m) z Small section of transmission line (m) For Sinusoidal Voltage and Current Writing Kirchhoff's Voltage and Current Equations for the L-Section Using both equations & Solution NatTel Microsystems Pvt. Ltd.

Electrical Characteristics of Transmission Line Characteristic Impedance Phase Constant Attenuation Constant Phase Velocity For a Lossless Line R=0 & G=0 Wavelength Cut-off Frequency NatTel Microsystems Pvt. Ltd.

Characteristic Impedance of a Transmission Line Characteristic Impedance of a Line is impedance, termination into which at the load side results in same impedance looking into the line at the source side. Transmission Line Characteristic Impedance In case of Termination of Line into non-characteristic impedance load, Power gets partially reflected and transmitted at the interface. If then z=0 Transmission Line1 Transmission Line2 NatTel Microsystems Pvt. Ltd.

Incident, Reflected & Transmitted Waves Transmission Line1 Transmission Line2 z=0 z Ratio of Reflected Voltage to Incident Voltage at the Reflection Plane is Reflection Coefficient Ratio of Transmitted Voltage to Incident Voltage at the Interface is Transmission Coefficient z=0 z Voltage Waveform Current Waveform Incident Waveform Reflected Waveform Transmitted Waveform NatTel Microsystems Pvt. Ltd.

Incident Reflected & Transmitted Power z=0 Return Loss Insertion Loss NatTel Microsystems Pvt. Ltd.

Introduction to Smith Chart Let be load impedance into which transmission line with Characteristic Impedance is terminated. Load Impedance normalized to Characteristic Impedance of the line is given by Constant Resistance Circles Equating real & imaginary parts as Reflection Coefficient Impedance & Admittance Chart Constant Reactance Circles Normalized Load Impedance Admittance Chart for Shunt Elements Impedance Chart for Series Elements Constant shunt Capacitance Circles Constant series Inductance Circles Constant shunt Resistance Circles Constant series Resistance Circles Constant shunt Inductance Circles Constant series Capacitance Circles NatTel Microsystems Pvt. Ltd.

Voltage Standing Wave Ratio (VSWR) NatTel Microsystems Pvt. Ltd.

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