Wave optics (06POCOPT)

**Coefficient :**2**Hourly Volume:**50h (including 31.5h supervised)- CTD : 31.5h supervised (and 5h unsupervised)
- Out-of-schedule personal work : 13.5h

### AATs Lists

## Description

- Equations of electrodynamics: Maxwell's equations, propagation equation
- Plane waves
- Light energy
- Polarisation properties of electromagnetic waves - Practical applications
- Reflection and refraction of light at a dielectric/dielectric or di- electric/metal interface
- The phenomenon of interference - Practical applications
- Diffraction of light: principles and consequences.

## Learning Outcomes AAv (AAv)

AAv1 [heures: 6.5, B2, B3] : By the end of the course, students in semester 5 will be able to calculate the characteristic parameters of a monochromatic electromagnetic plane wave (wavelength, frequency, phase velocity and group velocity, intensity, electric and magnetic fields) in a linear, homogeneous, isotropic and transparent dielectric medium in which it propagates and to characterize its structure.

AAv2 [heures: 6, B2, B3] : At the end of the course, students will be able to determine the polarization state of a plane electromagnetic wave from the parametric expression of the wave's electric field and vice versa.

AAv3 [heures: 9, B2, B3, C1] : At the end of the course, students will be able to describe and analyse the change in polarisation state of an electromagnetic wave using polarimetric instruments (birefringent plates, ideal rectilinear polariser, and their combination).

AAv4 [heures: 5.25, B2, B3] : By the end of this course, students will be able to calculate and characterize the Fresnel coefficients in amplitude and intensity for the reflection and transmission of a plane wave on a plane diopter and determine the polarization state of the reflected and transmitted waves.

AAv5 [heures: 7, B2, B3] : At the end of the course, students will be able to calculate the interference of electromagnetic waves of the same frequency, polarized or unpolarized.

AAv6 [heures: 12, B2, B3, C1] : At the end of the course, students will be able to characterise and analyse interferometric set-ups (photodetection of an optical beat, Young's interferometer, Mach-Zehnder and Fabry-Perot interferometers, anti-reflection layer, etc.) and explain and interpret phenomena related to interference (Newton rings, iridescence, etc.).

AAv7 [heures: 4.25, B2, B3, C1] : At the end of the course, students will be able to state the principles of diffraction, analyse the distribution of light intensity due to diffraction through various apertures (rectangular slit, circular slit, diffraction gratings) and describe phenomena related to diffraction (Airy spot, resolving power limited by diffraction, etc.).

## Assessment methods

One long continuous assessment (coefficient 1) and the average of several short continuous assessments (coefficient 1).

## Key Words

Maxwell's equations, constitutive relations, equation of propagation, energy of an ' wave, interference, diffraction, polarisation.

## Prerequisites

ELM course in S5O, basic engineering mathematics (integration and derivation in particular).

## Resources

Handouts J.-P. Perez, R. Carles, R. Fleckinger, ”Electromagnétisme : Fondements et applications”, ´ Dunod J.D. Jackson, ”Electrodynamique classique”, Dunod