Using Fourier Analysis in a Senior Year Project: Any Experiment Ideas?

[cscott]

I'm supposed to do an "investigation into a physics-related question." for my senior year project. I want to do something realted to Fourier Analysis but I need some sort of experiment. Any ideas? How hard would a computer model be?

Also, would this topic fall more under math?

 

[nrqed]

I'm supposed to do an "investigation into a physics-related question." for my senior year project. I want to do something realted to Fourier Analysis but I need some sort of experiment. Any ideas? How hard would a computer model be?

Also, would this topic fall more under math?

`
Fourier analysis could be treated as a purely mathematical topic but it has a lot of very important applications in both physics and engineering.

The simplest and most easy to explain to non scientists application is probably the application to the analysis of sound waves. A pure tone (closely approximated by a tuning fork) is a single harmonic. Then you can move on to beats (two modes close in frequencies) and then to the spectrum of different musical instruments.

I am sure you can find a huge number of pages on the web on these topics.

Just a thought.

 

[kyle8921]

Fourier analysis is a powerful mathematical tool that has applications in various fields, including physics. It is used to decompose a complex function into simpler components, making it easier to analyze and understand. Your idea to incorporate Fourier analysis into your senior year project is commendable and shows a strong interest in both math and physics.

There are many interesting physics-related questions that can be investigated using Fourier analysis. Some ideas for experiments could include analyzing the frequency spectrum of sound waves or studying the diffraction patterns of light using Fourier transforms. Another idea could be to investigate the relationship between temperature and the frequency spectrum of thermal radiation.

In terms of using a computer model for your experiment, it would depend on the specific question you are investigating. A computer model can be a useful tool in simulating and visualizing complex phenomena, but it may also require advanced programming skills and resources. It is important to carefully consider the scope and feasibility of your project before deciding on a computer model.

In terms of whether this topic falls more under math or physics, it can be argued that it falls under both. Fourier analysis is a mathematical tool, but its applications in physics make it a relevant topic for both fields. It would be beneficial to consult with your project advisor or a physics/mathematics teacher to determine the best approach for your specific project.

Overall, using Fourier analysis in your senior year project is a great opportunity to explore a fascinating mathematical concept and its applications in physics. I wish you the best of luck in your investigation and hope that it will be a rewarding experience for you.