Wave Propagation

An overview of wave phenomena, focusing on acoustic, electromagnetic, and microwave waves.

• Understanding the concepts of waves and the physical phenomena that govern them
• Understanding how to manipulate waves; concepts of traveling and standing waves
• Derive the equations of wave propagation—whether for acoustic, electromagnetic, or microwave waves—and solve these equations
• Understand the concepts of impedance and impedance matching
• Understand the phenomena of reflection, transmission, and attenuation
• Explore the concepts of wave propagation in energy potentials and their solutions (Schrödinger equation)
• Understand practical applications of acoustic, electromagnetic, and microwave waves

Required prerequisites:

Electrostatics and magnetostatics, electric and magnetic fields

Basic Geometric Optics

Mathematical concepts: complex numbers, Fourier transform…

Recommended prerequisites:

Electrostatics and magnetostatics, electric and magnetic fields

Basic Geometric Optics

Mathematical concepts: complex numbers, Fourier transform…

Final exam 70% + 30% hands-on work

Acoustic Waves. 12 hours of lectures, 10.5 hours of tutorials

1. Introduction: General Information on Wave Phenomena
2. Acoustic Waves / Sound Waves; Plane Waves, Progressive/Standing Waves
3. Wave propagation in a one-dimensional medium, the equation of pressure wave propagation, and waves along a string.
4. Reflection and Transmission Phenomena: Impedance
5. Properties of acoustic waves and related applications (ultrasonography, sonar, etc.).
6. The Doppler Effect and Its Applications in Velocimetry.
7. Examples of Applications of Wave-Matter Interaction in the Medical Field

Microwave waves. Lecture: 12:00 p.m. Seminar: 6:00 a.m., Lab: 9:00 a.m.

1. Introduction
2. Microwaves in the Electromagnetic Spectrum
3. The Electromagnetic Spectrum
4. Characteristic Properties of Microwaves
5. Review (mathematics, electricity, power, dB)
6. Spatial Distribution of Energy
7. Energy Transmission via an Idealized Line
8. The T.E.M. electromagnetic wave guided by a line
9. Voltage Wave and Current Wave
10. Characteristic line resistance
11. Reflection phenomenon at the end of the line
12. Food for thought
13. Voltage Variation at the Ends of a Line
14. Table Method
15. Transmission Lines Under Harmonic Conditions
16. Linear parameters
17. Equation of Lines (Telegraphers' Equation)
18. Solution for Negligible Losses (Radio Engineers' Equation)
19. General Solution in the Harmonic Regime
20. Characteristic impedance, phase and attenuation constants
21. Analysis of Lossless Transmission Lines
22. Propagation of Undamped Sinusoidal Waves
23. Voltage and Current Distribution Along the Line
24. Impedance at each point along the line
25. Reflection Coefficient and Impedance
26. Standing Wave Ratio
27. Maximum and Minimum Values
28. Standing Wave Ratio 

Wave Physics. Lecture 9 hours, Lab 9 hours

1. Wave-Particle Duality

            1.1 Classical Physics in the 19th Century

            1.2 Toward Mechanics

            1.3 The Wave-Particle Duality

2. Schrödinger's equation for a free particle

            2.1 Schrödinger Equation

            2.2 Postulates of Quantum Mechanics

            2.3 Spatial Equation by Separation of Variables

            2.4 Operators in quantum mechanics

            2.5 Boundary Conditions

            2.6 Typical Process

3. Diffusion via a spatial potential

            3.1 Finite-potential well

            3.2 Potential-driven operation

            3.3 Potential Barrier