Geometric Phase detection of defects

Grade:

9

Teacher:

Andy Ho

I used many examples of different types of defects to show how a detection of a small piece of sand can work using a high-powered laser and a high powered vibrometer. I used reference samples, which are the undefected samples, and then scanned 160 points around the reference sample using a high powered vibrometer. I then put the sand(s) on the undefected sample and then repeated the same process. After that, I moved on to the geometric phase, which describes a significant fluctuation between one point and another point. The geometric phase is trying to put the fluctuation in numbers, which then can get retraced into a heatmap showing the approximate location of the defect(s). I had to compute the new state vectors of the samples with the defected sample. To compute the geometric phase, the state vector of the reference sample and the defected sample at the same exact points. A state vector is the current condition of the sample, which can allow the future of the sample to be predicted. The geometric phase consists of mostly 2-digit numbers which helped me retrace a map consisting of the approximate location of the defects. To make this work, I had to use 2 different reference points, 1 and 81, to help me retrace the map with the approximate location of the defects.

Project presentation