OPTI 513R

Optical Testing (3 units). Paraxial properties of optical systems, material qualification, ellipsometry, aberrations, basic interferometers, direct-phase measurement interferometry, measurement of surface quality, testing mirrors, windows, prisms, and cornercubes, measurement of index inhomogeneity, testing of spherical surfaces and lenses, aspheric testing, absolute measurements, and system evaluation. Prerequisite: OPTI 505R.

Course Outline:

Introduction

1. Measurement of Paraxial Properties of Optical Systems
  1.1 Thin Lenses
    1.1.1 Measurements Based on Image Equation
    1.1.2 Autocollimation Technique
    1.1.3 Geneva Gauge
    1.1.4 Neutralization Test
    1.1.5 Focometer
  1.2 Thick Lenses
    1.2.1 Focal Collimator
    1.2.2 Reciprocal Magnification
    1.2.3 Nodal-Slide Lens Bench
 
2. Qualification of Optical Material
  2.1 Internal Defects
  2.2 Measurement of Refractive Index
    2.2.1 Spectrometer
      2.2.1.1 Basic Spectrometer Technique
      2.2.1.2 Autocollimating Goniometer
      2.2.1.3 Hilger Chance Refractometer
    2.2.2 Critical Angle Systems
      2.2.2.1 Abbe Refractometer
      2.2.2.2 Pulfrich Refractometer
    2.2.3 Ellipsometry
  2.3 Strain
  2.4 Mechanical and Thermal Properties
 
3. Aberrations
  3.1 Sign Conventions
  3.2 Aberration Free Image
  3.3 Spherical Wavefront, Defocus, and Lateral Shift
  3.4 Angular, Transverse, and Longitudinal Aberration
  3.5 Seidel Aberrations
    3.5.1 Spherical Aberration
    3.5.2 Coma
    3.5.3 Astigmatism
    3.5.4 Field Curvature
    3.5.5 Distortion
  3.6 Zernike Polynomials
  3.7 Relationship between Zernike Polynomials and Third-Order Aberrations
  3.8 Peak-Valley and RMS Wavefront Aberration
  3.9 Strehl Ratio
  3.10 Chromatic Aberrations
  3.11 Aberrations Introduced by Plane Parallel Plate
  3.12 Aberrations of Simple Thin Lenses
  3.13 Conics
    3.13.1 Basic Properties
    3.13.2 Spherical Aberration
    3.13.3 Coma
    3.13.1 Astigmatism
  3.14 General Aspheres
 
4. Basic Interferometry and Optical Testing
  4.1 Two Beam Interference
  4.2 Fizeau Interferometer
  4.3 Twyman-Green Interferometer
  4.4 Laser Based Fizeau
  4.5 Mach-Zehnder Interferometer
  4.6 Typical Interferograms
  4.7 Interferograms and Moiré Patterns
  4.8 Classical Techniques for Inputting Data into Computer
 
5. Direct Phase Measurement Interferometry
  5.1 Introduction
  5.2 Zero-Crossing Technique
  5.3 Phase-Lock Interferometry
  5.4 Up-Down Counters
  5.5 Phase-Stepping and Phase-Shifting Interferometry
    5.5.1 Introduction
    5.5.2 Phase Shifters
    5.5.3 Moving Mirror
    5.5.4 Diffraction Grating
      5.5.4.1 Bragg Cell
      5.5.4.2 Polarization Phase Shifters
        5.5.4.2.1 Rotating Half-Wave Plate
        5.5.4.2.2 Rotating Polarizer
      5.5.4.3 Zeeman Laser
      5.5.4.4 Frequency Shifting Source
    5.5.5 Algorithms
    5.5.6 Phase-Unwrapping
    5.5.7 Phase Shifter Calibration
    5.5.8 Errors
    5.5.9 Solving the Vibration Problem
      5.5.9.1 Measure Vibration and Introduce Vibration 180 Degrees Out of Phase to Cancel Vibration
      5.5.9.2 Spactial Synchronous and Fourier Methods
      5.5.9.3 Spatial Carrier Technique
      5.5.9.4 Simultaneous Phase-Measurement Interferometer
      5.5.9.5 Single-Shot Holographic Polarization Dynamic Interferometer
      5.5.9.6 Pixilated Polarizer Array Dynamic Interferometer
  5.6 Phase-Shifting Non-Destructive Testing
  5.7 Multiple Wavelength and White Light Phase-Shifting Interferometry
  5.8 Vertical Scanning (Coherence Probe) Techniques
 
6. Measurement of Surface Quality
  6.1 View Transmitted or Reflected Light
  6.2 Mechanical Probe
  6.3 AFM
  6.4 Lyot Test
  6.5 FECO
  6.6 Nomarski Interferometer
  6.7 Sommargren Profiler
  6.8 Interference Microscope
 
7. Testing Flat Surface Optical Components
  7.1 Mirrors
    7.1.1 Fizeau Interferometer
    7.1.2 Twyman-Green Interferometer
    7.1.3 Ritchey-Common Test
    7.1.4 Naked Eye Test
  7.2 Windows
    7.2.1 Interferometer
    7.2.2 Autocollimator
  7.3 Prisms
    7.3.1 Interferometer
    7.3.2 Goniometer
    7.3.3 Autocollimator
    7.3.4 Naked Eye Test
  7.4 Corner Cubes
  7.5 Diffraction Grating
  7.6 Index Inhomogeneity
 
8. Testing of Curved Surfaces and/or Lenses
  8.1 Radius of Curvature
    8.1.1 Spherometer
    8.1.2 Autostigmatic Measurement
    8.1.3 Newton's Rings
    8.1.4 Interferometer and Radius Slide
  8.2 Surface Figure
    8.2.1 Test Plate
    8.2.2 Twyman-Green Interferometer (LUPI)
    8.2.3 Fizeau (Laser Source)
    8.2.4 Spherical Wave Multiple Beam Interferometer (SWIM)
    8.2.5 Shack Cube Interferometer
    8.2.6 Scatterplate Interferometer
    8.2.7 Smartt Point Diffraction Interferometer
    8.2.8 Sommargren Diffraction Interferometer
    8.2.9 Measurement of Cylindrical Surfaces
    8.2.10 Star Test
    8.2.11 Shack-Hartmann Test
    8.2.12 Scots Test
    8.2.13 Foucault Test
    8.2.14 Wire Test
    8.2.15 Ronchi Test
    8.2.16 Lateral Shear Test
    8.2.17 Radial Shear Test
 
9. Special Interferometric Tests for Aspherical Surfaces
  9.1 Description of Aspheric Surfaces
  9.2 Null Test
    9.2.1 Conventional Null Optics
    9.2.2 Holographic Null Optics
    9.2.3 Computer Generated Holograms
  9.3 Non-Null Test
    9.3.1 Lateral Shear Interferometry
    9.3.2 Radial Shear Interferometry
    9.3.3 High-Density Detector Arrays
    9.3.4 Sub-Nyquist Interferometry
    9.3.5 Long-Wavelength Interferometry
    9.3.6 Two-Wavelength Holography
    9.3.7 Two-Wavelength Interferometry
    9.3.8 Moiré Interferometry
 
10. Absolute Measurements
  10.1 Flat Surfaces
  10.2 Spherical Surfaces
  10.3 Surface Roughness
 
11. System Evaluation
  11.1 Resolution Tests
  11.2 Veiling Glare
  11.3 Spread Function Measurement
  11.4 Encircled Energy Measurement
  11.5 Optical Transfer Function Measurement
    11.5.1 Scanning Methods
    11.5.2 Interferogram Analysis
    11.5.3 Autocorrelation Method

Homework, Exams, and Grades:
The final grade in the course is calculated as follows:
  20% Homework
  30% Midterm Exam (In-class, Closed Book)
  50% Final Exam

Recommended Text:
  Malacara, D. Ed. Optical Shop Testing. Wiley Interscience.
  Goodwin, Eric P. and Wyant, James C. Field Guide to Interferometric Optical Testing. SPIE