Holography and coherent imaging

Fall 2009

Homework 1.

Due 4 September 2009

  1. Simulate a Gabor hologram of the Duke University seal. Make the seal 2 mm on a side and assume 1 micron wavelength light. Identify the minimum feature size in your image of the seal. Calculate the diffracted field for normal plane wave illumination at a range of 10 mm. What spatial frequency is necessary to model the diffracted field? Generate an image of the recorded Gabor hologram. Assuming reconstruction by illumination using the same reference, generate an image of the reconstruced hologram. Discuss noise and distortions observed in the hologram.
  2. Repeat problem 1 for an off axis reference wave. What is the maximum angle between the reference and the signal fields you can model? Set the reference angle at 1/4 of the maximum value in your simulation. Are you able to separate the signal and background fields? What is the maximum size object that you can unambigously reconstruct using this reference angle and sampling period? Show images of the hologram and the reconstruction.
  3. Simulate and reconstruct at various ranges an off axis hologram for the Duke seal at a range of 10 mm and the Pratt logo at a range of 13 mm.

Please submit your code, simulation images and question answers electronically to the Blackboard digital drop box.