For more information contact:

Prof. Constantine A. Balanis
Department of Electrical Engineering
Telecommunications Research Center
Arizona State University
Tempe, AZ 85287-7206
Telephone: (480) 965-3909
FAX: (480) 965-8325


Microwave Circuits and Devices


Dr. Constantine A. Balanis


Foundations for Microwave Engineering (McGraw-Hill, 1992) by Robert E. Collin


This course is designed for engineers, scientists, technologists and engineering managers in the fields of radiation, propagation, communication, navigation, radar, RF systems, remote sensing, and radio astronomy who require a better understanding of microwave circuit analysis, design, and measurement techniques. A basic introductory knowledge of electromagnetic theory is assumed.

The course covers the fundamental principles of microwave circuits, devices and measurements. It includes UHF transmission line theory, striplines and microstrips, dispersion characteristics of microstrip lines, coupling and transient signal distortion in microstrip lines, impedance matching techniques and charts, general circuit theory of one port and multiports for waveguide systems, impedance and scattering matrices, waveguide circuit elements, microwave energy sources, and microwave solid state devices.

Each participant will receive a copy of the course book Foundations for Microwave Engineering (McGraw- Hill, 1992) by Robert E. Collin and additional supplementary material.


Terminated Transmission Line

*Terminated lossy line

Impedance Transformation and Matching

*Smith Chart
*Impedance matching with reactive elements
1. Single-stub matching
2. Double-stub matching
3. Triple-stub matching
*Waveguide reactive elements
1. Shunt inductive elements
2. Shunt capacitive elements
3. Waveguide stub tuners
*Quarter wave transformers
*Theory of small reflections
*Approximate theory for multisection quarter-wave transformer
1. Binomial transformer
2. Chebyshev transformer
*Tapered lines

Introduction to Striplines and Microstrips

*Phase velocity
*Characteristic impedance
*Dispersion characteristics
*Multiple lines
*Odd and even modes
*Distortion of transient signals

*Theory of Waveguides

*Rectangular waveguide
*Rectangular cavities
*Dielectric slab waveguide
*Circular waveguides
*Circular cavity
*Dielectric circular waveguides
*Fiber optics cable
*Dielectric resonators

Circuit Theory of Waveguiding Systems

*Equivalent voltages and currents
*Impedance description of waveguide elements and circuits
1. One-port circuits
2. Two-port circuits
N-port circuits
1. Symmetry for the impedance matrix
2. Imaginary nature of [Z] for a lossless junction
*Two-port junctions 1. Some equivalent two-port circuits
*Scattering-matrix formulation
1. Symmetry of scattering matrix
2. Scattering matrix for a lossless junction
*Transmission-matrix representation
1. Voltage-current transmission matrix
2. Wave-amplitude transmission matrix

Passive Microwave Devices


1. Variable short circuit
*Phase changers
1. Linear phase changer
2. Rotary phase changer
*Directional couplers
1. Direction-coupler designs
2. Bethe-hole coupler
3. Two-hole couplers
4. Schwinger reversed-phase coupler
4. Multielement couplers
*Hybrid junctions
1. Balanced microwave mixer
*Microwave propagation in ferrites
*Microwave devices employing Faraday rotation
1. Gyrator
2. Isolator
3. Resonance isolator

Microwave Tubes


Microwave Solid State Devices

*Gunn diodes
*Microwave transistors, tunnel diodes, microwave field-effect transistors (FET's)
*Transferred electron devices (TED's)
*Avalanche transit-time devices


*Time-domain reflectometer
*Electrical properties of materials
1. Dielectric constant
2. Conductivity/loss tangent
*Scale models

Course Duration:

The course duration is typically 4 days. However it can be extended or shortened to emphasize or deemphasize topics; it can be taylored more to your needs.

For possible dates, locations, and additional information, contact:

Prof. Constantine A. Balanis
Telephone: (480) 965-3909