Interference, Diffraction, and Coherence (OSE5115)

James E. Harvey, Instructor

COURSE DESCRIPTION

    This course is designed to provide a comprehensive foundation in theory of interference, coherence, and diffraction for the beginning graduate student in the College of Optics and Photonics.  Topics covered in the lectures will include: the interference of electromagnetic waves (including polarization effects), interference filters and anti-reflection coatings, basic interferometry, interferogram analysis in optical testing, spatial and temporal coherence, the Van Cittert-Zernike theorem, the foundations of scalar diffraction theory, diffraction grating behavior, and a linear systems formulation of non-paraxial scalar diffraction theory (including surface scatter phenomena).

COURSE OUTLINE

1.0 Introduction
        1.1  Course Description, Text & Reference Material, Syllabus, Grading Policy, Academic Ethics, Cell Phones
    1.2  Introductory Comments about Interference and Diffraction, Hierarchy of Optical Theories.
    1.3 Historical Development of Interference and Diffraction (Wave Theory of Light).
2.0 Review of Necessary Background Material
        2.1 Mathematical Description of Optical wave Fields (Maxwell's Equations)
        2.2 Mathematical Description of Optical wave fields (Polarization)
        2.3 Vector analysis and direction Cosine Space.
        2.4 Radiometric Quantities and their Relationship to Complex Amplitude.
        2.5 Fourier Transform Techniques and Linear Systems Theory
 
3.0 Interference
    3.1 Superposition of Waves
        3.2 Two-beam and Multiple-beam Interference.
        3.3 Interference Fringe Field from Two Point Sources.
        3.4 Introduction to Interferometry (Wavefront Division and Amplitude Division)
        3.5 Young's Interference Experiment, Newton's Rings (Phase Change upon Reflection)

        3.6 Interference Filters and Anti-reflection Coatings.

    3.7 Interferogram Analysis in Optical Testing.
     
4.0 Coherence
    4.1 Coherent versus Incoherent Light.
    4.2 Spatial and Temporal Coherence (Coherence Time and Coherence Length). 
    4.3 The Complex Degree of Coherence and the Mutual Coherence Function.
5.0 Diffraction  

        5.1   Foundations of Scalar Diffraction Theory.

               5.1.1   The Hugyens-Fresnel Principle and the Rayleigh-Sommerfeld Diffraction Integral.
               5.1.2   Fraunhofer and Fresnel Diffraction, Highly-obscured Annular Apertures.
               5.1.3   Paraxial Grating Behavior.
               5.1.4   Fresnel Zone Plate, Babinet’s Principle.
               5.1.5   Edge Diffraction and the Spot of Arago.
        5.2.  A Linear Systems Formulation of Non-paraxial Scalar Diffraction Theory.      
               5.2.1   The Huygens’ Wavelet as an Impulse Response, Aberrations of Diffracted Wave Fields.
               5.2.2   Diffracted Radiance: The Fundamental Quantity in Scalar Diffraction Theory.
               5.2.3   Re-normalization in the Presence of Evanescent Waves.
        5.3   Non-paraxial (Wide-angle) Behavior of Diffraction Gratings.
        5.4   Linear Systems Model of Surface Scatter Phenomena.
          5.5   Other Applications. 

HOMEWORK

Homework #1
Solution to Homework #1
Homework #2
Solution to Homework #2
Homework #3
Solution to Homework #3
Homework #4
Solution to Homework #4
Homework #5
Solution to Homework #5
Homework #6
Solution to Homework #6
Homework #7
Solution to Homework #7
Homework #8
Solution to Homework #8
Homework #9
Solution to Homework #9
Homework #10
Solution to Homework #10
 

ADDITIONAL MATERIAL

Multiple Beam Interference
Chapter 2: Diffraction for Engineers
Gaskill: Chapters 2-4
Gaskill: Chapters 5-6
Gaskill: Chapters 7 & 9
Harvey: Chapter 3
Harvey: Chapter 4
Harvey: Chapter 5
Harvey: Chapter 6
Sinusoidal Phase Grating

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Most recently updated on July 2006. Please, contact George regarding any concerns with Dr. Harvey's OSE5203 webpage.