# MICROWAVE ENGINEERING

# MICROWAVE ENGINEERING

ELECTROMAGNETIC THEORY

Introduction to Microwave Engineering: Applications of Microwave Engineering, A Short History of Microwave Engineering.

Maxwell’s Equations

Fields in Media and Boundary Conditions: Fields at a General Material Interface, Fields at a Dielectric Interface, Fields at the Interface with a Perfect Conductor (Electric Wall), The MagneticWall Boundary Condition, The Radiation Condition.

The Wave Equation and Basic Plane Wave Solutions: The Helmholtz Equation, Plane Waves in a Lossless Medium, Plane Waves in a General Lossy Medium, Plane Waves in a Good Conductor.

General Plane Wave Solutions: Circularly Polarized Plane Waves.

Energy and Power: Power Absorbed by a Good Conductor.

Plane Wave Reflection from a Media Interface: General Medium, Lossless Medium, Good Conductor, Perfect Conductor, The Surface Impedance Concept.

Oblique Incidence at a Dielectric Interface: Parallel Polarization, Perpendicular Polarization, Total Reflection and Surface Waves.

Some Useful Theorems: The Reciprocity Theorem, Image Theory.

TRANSMISSION LINE THEORY

The Lumped-Element Circuit Model for a Transmission Line: Wave Propagation on a Transmission Line, The Lossless Line.

Field Analysis of Transmission Lines: Transmission Line Parameters, The Telegrapher Equations Derived from Field Analysis of a Coaxial Line, Propagation Constant, Impedance, and Power Flow for the Lossless Coaxial Line.

The Terminated Lossless Transmission Line: Special Cases of Lossless Terminated Lines.

The Smith Chart: The Combined Impedance–Admittance Smith Chart, The Slotted Line.

The Quarter-Wave Transformer: The Impedance Viewpoint, The Multiple-Reflection Viewpoint.

Generator and Load Mismatches: Load Matched to Line, Generator Matched to Loaded Line, Conjugate Matching.

Lossy Transmission Lines: The Low-Loss Line, The Distortionless Line, The Terminated Lossy Line, The Perturbation Method for Calculating Attenuation, The Wheeler Incremental Inductance Rule.

Providing basic knowledge about the analysis and design of passive microwave systems and circuits, either in waveguide or in planar technology.

TRANSMISSION LINES AND WAVEGUIDES

General Solutions for TEM, TE, and TM Waves: TEM Waves, TE Waves, TM Waves, Attenuation Due to Dielectric Loss

Parallel PlateWaveguide: TEM Modes, TM Modes, TE Modes.

Rectangular Waveguide: TE Modes, TM Modes.

Circular Waveguide: TE Modes, TM Modes.

Coaxial Line: TEM Modes, Higher Order Modes.

Surface Waves on a Grounded Dielectric Sheet: TM Modes, TE Modes.

Stripline and Microstrip Line: Propagation Constant, Effective Dielectric Constant, Characteristic Impedance, and Attenuation, Frequency-Dependent Effects and Higher Order Modes.

Wave Velocities and Dispersion: Group Velocity.

MICROWAVE NETWORK ANALYSIS

Impedance and Equivalent Voltages and Currents: Equivalent Voltages and Currents, The Concept of Impedance.

Impedance and Admittance Matrices: Reciprocal Networks, Lossless Networks.

The Scattering Matrix: Reciprocal Networks and Lossless Networks, A Shift in Reference Planes, Power Waves and Generalized Scattering Parameters.

The Transmission (ABCD) Matrix: Relation to Impedance Matrix, Equivalent Circuits for Two-Port Networks.

The Vector Network Analyzer: Network Analyzer Calibration.

Discontinuities and Modal Analysis: Modal Analysis of an H-Plane Step in Rectangular Waveguide.

Excitation of Waveguides—Electric and Magnetic Currents: Mode Excitation from an Arbitrary Electric or Magnetic Current Source.

Excitation of Waveguides—Aperture Coupling: Coupling Through an Aperture in a Transverse Waveguide Wall, Coupling Through an Aperture in the Broad Wall of a Waveguide.

IMPEDANCE MATCHING AND TUNING

Matching with Lumped Elements (L Networks): Analytic Solutions, Smith Chart Solutions.

Stub Tuning: Shunt Stubs, Series Stubs, Double-Stub.

The Quarter-Wave Transformer: The Theory of Small Reflections, Single-Section Transformer, Multisection Transformer. Binomial and Chebyshev Multisection Matching Transformers.

MICROWAVE RESONATORS

Series and Parallel Resonant Circuits: Series Resonant Circuit, Parallel Resonant Circuit, Loaded and Unloaded Q.

Transmission Line Resonators: Short-Circuited λ/2 Line, Short-Circuited λ/4 Line, Open-Circuited λ/2 Line.

Rectangular Waveguide Cavity Resonators: Resonant Frequencies, Unloaded Q of the TE10 Mode.

Circular Waveguide Cavity Resonators: Resonant Frequencies, Unloaded Q of the TEnm Mode.

Dielectric Resonators

Excitation of Resonators: The Coupling Coefficient and Critical Coupling, A Gap-Coupled Microstrip Resonator, An Aperture-Coupled Cavity.

POWER DIVIDERS AND DIRECTIONAL COUPLERS

Basic Properties of Dividers and Couplers: Three-Port Networks (T-Junctions), Four-Port Networks (Directional Couplers).

The Wilkinson Power Divider: Even-Odd Mode Analysis.

Waveguide Directional Couplers: Bethe Hole Coupler, Design of Multihole Couplers.

The Quadrature (90°) Hybrid: Even-Odd Mode Analysis.

Coupled Line Directional Couplers: Coupled Line Theory, Design of Coupled Line Couplers.

The 180° Hybrid: Even-Odd Mode Analysis of the Ring Hybrid. Waveguide Magic-T.

MICROWAVE FILTERS

Periodic structures, Filter design by the Image Parameter Method, Filter design by the Insertion Loss Method, Filter transformation, Filter implementation, Stepped Impedence filters, Coupled Lines Fileters, Filters using coupled resonators.

THEORY AND DESIGN OF FEROMAGNETIC COMPONENTS

Basic Properties of Ferromagnetic Materials, Propagation in a Ferrite and in a ferrite loaded waveguide. Ferrite isolator, Ferrite phase shifter, Ferrite circulator.

TRANSMISSION LINES AND WAVEGUIDES

General Solutions for TEM, TE, and TM Waves: TEM Waves, TE Waves, TM Waves, Attenuation Due to Dielectric Loss

Parallel PlateWaveguide: TEM Modes, TM Modes, TE Modes.

Rectangular Waveguide: TE Modes, TM Modes.

Circular Waveguide: TE Modes, TM Modes.

Coaxial Line: TEM Modes, Higher Order Modes.

Surface Waves on a Grounded Dielectric Sheet: TM Modes, TE Modes.

Stripline and Microstrip Line: Propagation Constant, Effective Dielectric Constant, Characteristic Impedance, and Attenuation, Frequency-Dependent Effects and Higher Order Modes.

Wave Velocities and Dispersion: Group Velocity.

MICROWAVE NETWORK ANALYSIS

Impedance and Equivalent Voltages and Currents: Equivalent Voltages and Currents, The Concept of Impedance.

Impedance and Admittance Matrices: Reciprocal Networks, Lossless Networks.

The Scattering Matrix: Reciprocal Networks and Lossless Networks, A Shift in Reference Planes, Power Waves and Generalized Scattering Parameters.

The Transmission (ABCD) Matrix: Relation to Impedance Matrix, Equivalent Circuits for Two-Port Networks.

The Vector Network Analyzer: Network Analyzer Calibration.

Discontinuities and Modal Analysis: Modal Analysis of an H-Plane Step in Rectangular Waveguide.

Excitation of Waveguides—Electric and Magnetic Currents: Mode Excitation from an Arbitrary Electric or Magnetic Current Source.

Excitation of Waveguides—Aperture Coupling: Coupling Through an Aperture in a Transverse Waveguide Wall, Coupling Through an Aperture in the Broad Wall of a Waveguide.

IMPEDANCE MATCHING AND TUNING

Matching with Lumped Elements (L Networks): Analytic Solutions, Smith Chart Solutions.

Stub Tuning: Shunt Stubs, Series Stubs, Double-Stub.

The Quarter-Wave Transformer: The Theory of Small Reflections, Single-Section Transformer, Multisection Transformer. Binomial and Chebyshev Multisection Matching Transformers.

MICROWAVE RESONATORS

Series and Parallel Resonant Circuits: Series Resonant Circuit, Parallel Resonant Circuit, Loaded and Unloaded Q.

Transmission Line Resonators: Short-Circuited λ/2 Line, Short-Circuited λ/4 Line, Open-Circuited λ/2 Line.

Rectangular Waveguide Cavity Resonators: Resonant Frequencies, Unloaded Q of the TE10 Mode.

Circular Waveguide Cavity Resonators: Resonant Frequencies, Unloaded Q of the TEnm Mode.

Dielectric Resonators

Excitation of Resonators: The Coupling Coefficient and Critical Coupling, A Gap-Coupled Microstrip Resonator, An Aperture-Coupled Cavity.

POWER DIVIDERS AND DIRECTIONAL COUPLERS

Basic Properties of Dividers and Couplers: Three-Port Networks (T-Junctions), Four-Port Networks (Directional Couplers).

The Wilkinson Power Divider: Even-Odd Mode Analysis.

Waveguide Directional Couplers: Bethe Hole Coupler, Design of Multihole Couplers.

The Quadrature (90°) Hybrid: Even-Odd Mode Analysis.

Coupled Line Directional Couplers: Coupled Line Theory, Design of Coupled Line Couplers.

The 180° Hybrid: Even-Odd Mode Analysis of the Ring Hybrid. Waveguide Magic-T.

MICROWAVE FILTERS

Periodic structures, Filter design by the Image Parameter Method, Filter design by the Insertion Loss Method, Filter transformation, Filter implementation, Stepped Impedence filters, Coupled Lines Fileters, Filters using coupled resonators.

THEORY AND DESIGN OF FEROMAGNETIC COMPONENTS

Basic Properties of Ferromagnetic Materials, Propagation in a Ferrite and in a ferrite loaded waveguide. Ferrite isolator, Ferrite phase shifter, Ferrite circulator.

D. M. Pozar, Microwave Engineering, 3rd Ed., Wiley.

R. E. Collins, Foundations for Microwave Engineering, McGraw-Hill.

Lectures

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