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2006/Feb/21

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Antenna Theory and Design

• Contents– Source-Field Relations Single

Antenna Elements– Array Analysis and Synthesis– Self-Impedance and Mutual

Impedance, Feeding Structures– Continuous Aperture Antennas

• Score Distribution– Homework 30%– Mid-term Exam 35%– Final Exam 35%

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Source/Field RelationsSingle Antenna Elements

• Chapter Detail– Chapter 1 The Far-Field Integrals, Reciprocity, Directivity– Chapter 2 Radiation Patterns of Dipoles, Loops, and

Helices– Chapter 3Radiation Patterns of Horns, Slots and Patch

Antennas

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Introduction

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Introduction

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Introduction

• Table of Dimensions

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Introduction

• Summary of Important Vector RelationsCartesian Coordinates

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Introduction

• Summary of Important Vector RelationsCylindrical Coordinates

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Introduction

• Summary of Important Vector RelationsSpherical Coordinates

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Introduction

• Vector Identities

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Review of RelevantElectromagnetic Theory

• Electrostatics and Magnetostatics in Free Space– Sources Reduced Sources

– Coulomb’s Law Biot-Savart Law

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Review of RelevantElectromagnetic Theory

• Maxwell’s equations for static fields

• Gauss’s Law

• Ampere’s Circuital Law

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Review of RelevantElectromagnetic Theory

• Maxwell’s equations for static fields (Integral form)

• Potential functions

E AB

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Review of RelevantElectromagnetic Theory

• Dielectric, Magnetic, and Conductive Materials

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Review of RelevantElectromagnetic Theory

• Dielectric, Magnetic, and Conductive Materials

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Review of RelevantElectromagnetic Theory

• Maxwell’s equations for static fields (Integral form)

• Lorentz force law

• Conductive materials and Ohm’s law

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Review of RelevantElectromagnetic Theory

• Time-Varying Fields

• Maxwell’s equations

meter squareper amperes,,,

meter cubicper coulombs,,,tzyxtzyx

J

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Review of RelevantElectromagnetic Theory

• The Retarded Potential Functions

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Review of RelevantElectromagnetic Theory

• The Retarded Potential Functions

– The Helmholtz equation or the wave equation

:case ticElectrosta

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Review of RelevantElectromagnetic Theory

• Poynting’s Theorem

energy Stored loss Conductive dV leavingPower

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Review of RelevantElectromagnetic Theory

• Poynting’s Theorem

vectorPoynting

average-time 2 frequency at vector sPoyinting' ofportion goscillatin

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Review of RelevantElectromagnetic Theory

• Poynting’s Theorem

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Integral solutions of Maxwell’sequations in terms of the sources

• The Stratton-Chu Solution– Maxwell’s equation for time-harmonic sources

relation continuity

:equations veVector wa

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Integral solutions of Maxwell’sequations in terms of the sources

• The Stratton-Chu Solution

identity vector Using

theoremsGreen' vector

, and ,Let

FBGAGBFA

zyxP ,,

,,

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Integral solutions of Maxwell’sequations in terms of the sources

• The Stratton-Chu Solutionfunction sGreen' vector thebe let and , and be Let GBEF

,, as wellas ,, offunction zyx

:Operators

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Integral solutions of Maxwell’sequations in terms of the sources

• Conditions at Infinity

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Integral solutions of Maxwell’sequations in terms of the sources

• Conditions at Infinity

infinityat conditionsSommerfeld

) ( conditionsfiniteness

) ( conditionsfiniteness) ( conditionsradiation

) ( conditionsradiation