Topics Potentially Covered on the Final Exam

  1. Optical field representation
  2. Geometrical vs. physical optics

What are the basic approximations

  1. Scalar vs. vector

When can the scalar approximation be used

  1. Elementary waves

Plane wave, spherical wave

You do not need to worry about derivations.

  1. Diffraction
  2. Basic diffraction integral

You should be able to set up a diffraction integral for an arbitrary incident field and aperture.

  1. Fresnel diffraction

Set up the Fresnel integral

Determine the range where the Fresnel approximation is valid

You don’t need to be able to solve a Fresnel integral

Using a lens to make a Fresnel integral become a Fourier transform

  1. Fraunhoffer diffraction

Set up the Fraunhoffer diffraction integral

Range where the Fraunhoffer approximation is valid

Relating a Fraunhoffer diffraction integral as a Fourier transform

  1. Aperture diffraction

Be able to use Fourier transforms such as rect(), circ(), convolution, delta functions, shifts, phase terms, etc.

Calculate the diffraction pattern for (1) rectangular slit, (2) circular slit, (3) multiple circular or rectangular apertures, etc.

  1. Angular resolution

Calculate the angular resolution of a lens

  1. Fourier Optics
  2. Fourier transform using a lens

Already mentioned

  1. Spatial filtering

How an image can be changed using an aperture at the Fourier plane

What aperture you would use at the Fourier plane

  1. 4F system
  1. Gratings
  2. Grating diffraction

Set up the transmission function for a grating

Calculate the diffraction pattern for a grating

  1. Grating equation

Be able to design gratings for specified diffraction angles

  1. k-space diagrams
  2. Thin gratings efficiency
  3. Thick gratings

Calculating efficiency

Calculating Bragg condition

  1. Computer generated holograms

Transmission and diffraction pattern for arbitrary grating patterns

There will not be any problems on the Coupled Wave analysis technique

  1. Geometrical optics
  2. Prisms

Tracing rays through prisms

Designing prisms with particular requirements (deviation angle, dispersion, beam width reduction, etc.)

  1. Thin lens

Calculating focal length and lens power in Diopters

Calculating image locations

Calculating magnification

Tracing rays through a lens

Designing simple lens systems

  1. Camera analysis

Calculating field of view (FOV)

Calculating image location

Calculating image resolution

  1. Multiple lens systems

Calculating principle planes and effective focal length

Using principle planes to trace rays through a system

Using principle planes to determine image location and magnification

Using ABCD matrices

Not covered on exam: lens performance OTF, MTF