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Course Announcement

      ME925 Optical Methods of Measurement

Spring 2009


Advances in optoelectronics and machine vision have made optical measurement techniques ever more popular in experimental mechanics. In particular, many full-field deformation measurement techniques, such as digital image correlation, computational moire, speckle interferometry and moire interferometry, have been widely used in experimental solid mechanics in order to overcome limitations of traditional point-wise measurement techniques such as resistance strain gages. Furthermore, demands for novel full-field optical techniques are rapidly increasing due to emphasis on experimental validation of simulation-based design approaches.

The main goal of this course is to provide both in-depth understanding and hands-on experience on various optical measurement techniques. The course begins with basic principles in optics phenomena and digital image processing. The course will then cover theories and applications of various optical techniques including digital image correlation, geometrical moire, holographic interferometry, speckle interferometry and moire interferometry. There will be laboratory assignments to facilitate hands-on experience.  

This course should be of interest to students who are interested in motion/deformation/strain/shape measurements, optics and machine vision, material characterization, engineering design, nondestructive testing, experimental solid mechanics, inverse problems, etc.


The classes are scheduled on Mon Wed 4:10-5:00pm at 1202 EB. Please register early as seating is limited. For more information, please contact Soonsung Hong (shong@egr.msu.edu, 517- 884-1607).


Course Outline

1.                  Introduction

Perspective, Past, Trend, V&V, Road Map

2.                  Fundamentals of optics

Maxwells Equations, Plane wave solution,

Polarization, Time-averaged energy flux

3.                  Reflection/Refraction

Refractive index, Snell's law, Fresnel equation

Retardation, Photoelasticity

4.                  Geometrical optics

Imaging, Lensmaker's equation,

Thin lens formula, Aberrations

5.                  Digital image processing

Image Acquisition, LUT operation, Window operation,

Convolution theorem, Fast Fourier transform,

6.                  Numerical analysis, Linear elasticity 

Numerical differentiation, Least square fitting,

Stress-strain relation, Elasticity solutions,  Crack tip fields

7.                  Digital image correlation

Cross correlation, Continuum kinematics

8.                  3D DIC & Digital Volume Correlation

Projection, 3D imaging (confocal imaging, tomography)

9.                  Geometrical Moire

Fundamental Moire equation, Wave number, Reciprocal vector

10.              Computational Moire; Grid method

Fourier series expansion, Gradient measurement

11.              Shape measurement

Shadow Moire, Fringe projection moire

12.              Optical Interference

Superposition of plane waves, Young's fringes

Michelson interferometer, Newton's ring,

13.              Principles of Interferometry

Phase shifting techniques (3-step, 4-step, Carre)

14.              Scalar Diffraction theory 1

Kirchoff approximation, Frauhoffer diffraction

15.              Scalar Diffraction theory 2

Fresnel diffraction, Optical Fourier transform (grating, aperture)

16.              Image formation

Fresnel diffraction, Rayleigh criterion

17.              Holographic interferometry 1

Hologram, Sensitivity vector

18.              Holographic interferometry 2

Nondestructive evaluation, Vibration

19.              Moire interferometry 1

Diffraction gratings

20.              Moire interferometry 2

Applications, HRR field

21.              Laser Speckle phenomena

Speckle statistics, Speckle photography

22.              Speckle interferometry 1

Speckle correlation interferometry

23.              Speckle interferometry 2

Phase-shifting ESPI

24.              Shearing interferometry (slope measurement)

Transmission/reflection/diffraction/speckle, CGS, NDE

25.              Curvature measurements

Stoney formula, Laser scanning, Multi-beam,

Curvature interferometry

26.              Dopler Velocimetry

NDI, TDI, VISAR

27.              Hybrid methods

Noise reduction, Inverse  analysis

28.              Project/Presentation