# ECE 486

## Microwave Engineering I: Passive Circuit Design

Fall

Required Course:
No

### Course Level

Undergraduate

### Units

3

### Prerequisite(s)

ECE 381A

### Course Texts

Pozar, David M. *Microwave Engineering*. 3rd ed. Wiley, 2004.

Students will have access to secured D2L site for more course information.

### Schedule

150 minutes lecture per week

### Course Description

Review of transmission line theory, microstrip lines and planar circuits, RF/microwave network analysis, scattering parameters, impedance transformer design, filter design, hybrids and resonators.

### Learning Outcomes

By the end of this course, students will:

- Have practice with foundational aspects of microwave engineering through homework and problem analysis; students will develop quality and critical thinking checks necessary for extended study and mastery of selected subjects in microwave engineering well beyond the extent of the semester-long class
- Have 15 or more hours of hands-on experience in microwave engineering (engineering, design, analysis) EDA tools
- Be exposed to the historical aspects that relate to current developments and future technology advances in microwave engineering
- Become mindful of some nonmicrowave engineering aspects (manufacturability, consumer demand, constraints in materials) that influence future technology advances and contributions in research and industry

### Course Topics

- Identify the wave equation and basic plane wave solutions
- Identify TEM, TE and TM waves
- Identify the parallel plate waveguide and its associated electromagnetic fields and current distributions
- Calculate the attenuation in a parallel plane waveguide
- Identify the rectangular waveguide, explain its operation, and list the electromagnetic field distributions of its dominant modes
- Calculate the attenuation in a rectangular waveguide
- Identify the coaxial line, explain its operation, and list the electromagnetic field distributions of its dominant modes
- Calculate the attenuation and characteristic impedance of a coaxial line
- Identify the stripline and explain its operation, and list the electromagnetic field distributions of its dominant modes
- Identify the microstrip line and explain its operation, and list the electromagnetic field distributions of its dominant modes.
- Interpret the effective dielectric constant of a microstrip line
- Apply the effective dielectric constant, attenuation and impedance formulas for a microstrip line design
- Identify the different wave velocities and explain the dispersion effect
- Describe the lumped element circuit model for a transmission line
- Identify and describe the different transmission line parameters
- Identify the telegrapher equations
- Calculate the current and voltage distribution of a terminated lossless transmission line
- Calculate the input impedance, reflection coefficient and standing-wave ratio of a terminated lossless transmission line
- Explain how the Smith chart works.
- Design single stub matching networks
- Design double stub matching networks
- Calculate the input impedance, reflection coefficient, voltages, current and delivered power in a transmission line with generator and/or load mismatches
- Explain the equivalent voltage and current concept for microwave frequencies
- Distinguish between the different types of impedance in a transmission line
- Formulate the impedance and/or admittance matrix of an arbitrary microwave network
- Describe the properties of a lossless and/or reciprocal microwave network
- Describe the concept of the scattering matrix
- Apply the scattering matrix to characterize various passive microwave circuits
- Distinguish between regular and generalized scattering matrices
- Explain how the s-parameters of a 2-port microwave network can be measured
- Identify the transmission matrix and apply it to characterize various microwave circuits
- Apply the appropriate relationships to transform from one type of matrix to another
- Design lumped element matching networks
- Design quarter-wave transformers and describe their operation
- Describe the theory of small reflections
- Apply the theory of small reflections to design
- List the basic properties of dividers and couplers
- Design a Wilkinson power divider and list its properties
- Design a quadrature hybrid and list its properties
- Design coupled-line couplers and describe their operation
- Describe the basic operation of a vector network analyzer
- Describe the insertion loss method technique for designing filters
- Identify the different filter transformations
- Design a low-pass filter using stubs
- Design a stepped impedance low-pass filter
- Design a coupled line bandpass filter
- Identify potential limitations in the circuit fabrication process
- Perform microwave measurements for the passive circuit of the design project
- Explain differences between simulated and measured data of a passive microwave circuit

### Relationship to Student Outcomes

ECE 486 contributes directly to the following specific electrical and computer engineering student outcomes of the ECE department:

- Ability to apply knowledge of mathematics, science and engineering (high)
- Ability to design and conduct experiments, as well as to analyze and interpret data (medium)
- Ability to design a system, component or process to meet desired needs within realistic constraints, such as economic, environmental, social, political, ethical, health and safety, manufacturability and sustainability (low)
- Ability to function on multidisciplinary teams (low)
- Ability to identify, formulate and solve engineering problems (medium)
- Ability to communicate effectively (medium)
- Ability to use the techniques, skills and modern engineering tools necessary for engineering practice (high)

### Syllabus Prepared By

Kathleen Melde, 03/16/16