Single-Course English 5 ECTS

# Optical measurement methods and signal analysis

## Overall Course Objectives

This course teaches the students applied signal and image processing within the field of interferometric wave-optics, Fourier optics and statistical optics and coherence. The course teaches in scattering of light, Doppler-based interferometry, Fourier optics, optical processing and correlations optics. The students will get an overview of applications for these technologies. The student will practice applied signal and image processing techniques to experimental data from different relevant optical measurement systems.

Learning Objectives

• Calculate propagation of Gaussian beams and Gaussian fields through arbitrary paraxial optical systems.
• Calculate Doppler shift, analyze Doppler based interferometric systems and give examples on interferometric measurement techniques.
• Apply spectral analysis to interferometric signals to obtain frequency, phase, amplitude and noise information.
• Apply phasor plots and phase stepped methods to interferometric data
• Describe the Huygens-Fresnel’s diffractions theorem and its approximations.
• Calculate the Fresnel and Fraunhofer diffraction for different optical systems.
• Calculate the modulation transfer function (MTF) for both coherent and incoherent imaging systems.
• Apply spatial filtering techniques to numerical and optical data processing.
• Discuss statistical optics and coherence
• Calculate the dynamics of speckle images for various optical applications
• Apply correlation functions to images of speckle pattern and other random structures in order to measure dynamics of remote objects
• Give an overview of applications for optical measurements methods for velocity, rotation, vibration and so on.

Course Content

The following concepts and phenomena, and some of their most important applications will be described: Gaussian fields, complex ray-tracing matrices, Doppler shifts and Doppler based optical measurement systems such as Doppler LIDAR, laser and phase Doppler velocimetry, the Huygens-Fresnel diffraction theorem, Fresnel’s and Fraunhofer’s approximations, Fourier optics, frequency analysis of coherent and incoherent imaging system, statistical optics, correlation optics such as Particle Image Velocimetry (PIV), speckle velocimetry and optical processing methods. Exercises will include spectral analysis of interferometric signals, correlation analysis of speckle dynamics, Fourier optics and spatial filtering.

Recommended prerequisites

Teaching Method

Lectures, problems and exercises in signal analysis

Faculty

See course in the course database.

## Registration

Language English 13 weeks Electro DTU Lyngby Campus 34061 Candidate Week 5 Week 19 Wed 13-17
Price 7.500,00 DKK