This assignment has 3 parts.
Submit your work on Stellar in a single PDF file with the naming convention <Lastname><Firstname>Assignment2.pdf.
||Here is a comprehensive list of what you need to turn in:
- What percentage of the results fall with one, two, and three standard deviations? Is it reasonable to approximate this situation as a normal distribution?
- Produce a log-log plot of standard deviation of the number of photons emitted as a function of the average number of photons emitted for probability of photon emission equal to the values: 1E-6, 1E-5, 1E-4, 1E-3, and 1E-2. Hints:
- Use a nested loop.
- Speed things up by getting rid of the plotting inside the loop and only run 100 simulations for each probability.
- What is the relationship between the number of photons detected and the noise (standard deviation)?
- Repeat the simulation for a detector that has only a 25% chance of detecting a photon and a light source that is 4 time brighter.
- Turn in the code you used to generate the plots
- On one set of axes, plot the average variance vs. mean for exposure times of 10-4, 10-3, 10-2, 10-1, 100 seconds.
- In what situations is dark current noise a significant problem?
Parts 2 & 3
- Choose focal lengths for L3, L4 and L5 so that the laser beam diameter matches the FOV of the CCD camera.
- Sketch a block diagram of the illumination path. Make sure to indicate
- your chosen focal lengths for L3-L5,
- the correct lens orientations, and
- distances between components (if not important, leave blank).
- For each bead sample, include the original, reference, and flat-field corrected images in your lab report. In the caption note the exposure and gain settings used for each image.
- For one set of images (either the 0.84 or 3.6 μm beads and their corresponding dark and reference images), include the MATLAB code you used to calculate the flat-field correction.
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