How to Use Maxwell Model to Reconstruct Radar Image

Course Title: Radar Imaging

Lecture Topic: Using Maxwell Model to Reconstruct Radar Image

Instructor: Qiao

Institution: UTPA

Backwards Design

Course Objectives

• Primary Objectives- By the next class period students will be able to:
  • Understand the model and how to solve the Maxwell equation

• Sub Objectives- The objectives will require that students be able to:
  • Understand the basic concepts
  • Understand the approach/method that is used

• Difficulties- Students may have difficulty:
  • Knowing how to apply the boundary values to get solution
  • Students may encounter problems knowing how to solve the ODE reduced from the Maxwell equation

• Real-World Contexts- There are many ways that students can use this material in the real-world, such as:
  • Radar Wave
  • Water Wave

Model of Knowledge

• Concept Map
  • Boundary Condition
  • Domain for Solution
  • Equations nature (describe magnetic-wave)

• Content Priorities
• Enduring Understanding
  • Derivatives
  • Origin of Maxwell equation

• Important to Do and Know
  • Separation of Variables

• Worth Being Familiar with
  • Calculus III
  • ODEs

Assessment of Learning

• Formative Assessment
  • In Class (groups)
    • Discussion of Separation of Variables
    • Discussion of solving ODEs
  • Homework (individual)
    • Get familiar with ODEs and solve them
    • Calculus III
• Summative Assessment
  • Discussion in group's conclusion

Legacy Cycle

OBJECTIVE

By the next class period, students will be able to:

• Know that total field = incidental + scatter fields
• Solve 3D Maxwell equation for forward problem using fundamental solutions

The objectives will require that students be able to:

• show their own ways
• practice concrete examples

THE CHALLENGE

How to figure out inverse problem through scattering.

GENERATE IDEAS

Fourier Integrable Operators

MULTIPLE PERSPECTIVES

Born Approximation, Micro-local Analysis, and Fourier Back Projection

RESEARCH & REVISE

Test some data in our procedure to make sure image works fine

TEST YOUR METTLE

Just work hard.

GO PUBLIC

Show presentations

Pre-Lesson Quiz

1. What is Maxwell Model?
2. What is the scalar model?
3. How to solve forward problem?
4. How to use Born Approximation?
5. Does the rectangular window signal works fine?
6. How about the chirp signal?
7. How to find back projection operator?

Test Your Mettle Quiz

1. How to test the real data?
2. How does it works for a real engineering signal?
3. How about the resolution?