How to fit the Fourier optical formula using matlab

Thread starter xiaoxin8949
Start date Jul 31, 2023
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Matlab

In summary, to input data into matlab for Fourier optical formula fitting, you can use the "importdata" function or manually enter data using the "input" function. The syntax for the Fourier optical formula in matlab is "fft(x)", where x is the input data. This will output the Fourier transform of the input data. It is possible to fit the Fourier optical formula to non-uniformly spaced data by using interpolation functions such as "interp1" and "interp2". The fast Fourier transform (FFT) is a faster algorithm for calculating the discrete Fourier transform (DFT), taking advantage of the symmetry of the DFT to reduce the number of calculations needed. To visualize the results of Fourier optical formula fitting, you can use the

Jul 31, 2023

xiaoxin8949

Homework Statement: For this formula, I don't know how to fit this formula to obtain the light intensity distribution. What I try to fit is a straight line parallel to the x-axis。
This one is about light passing through the surface of the liquid and forming a light field at the bottom of the water

Relevant Equations: y = k0 * (n - 1) * A * cos(w - k * x)
E = E0 * exp(1i * y1)

Solved by matlab

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Aug 1, 2023

berkeman

Mentor

Welcome to PF.

So do you still have a question, or are you all good now?

1. How do I input my data into the Fourier optical formula in Matlab?

To input your data into the Fourier optical formula in Matlab, you will need to create a vector or matrix containing your data points. You can then use the "fft" function in Matlab to perform the Fourier transform on your data.

2. How can I plot the Fourier transform of my data in Matlab?

To plot the Fourier transform of your data in Matlab, you can use the "plot" function and pass in the output of the "fft" function as the y-values. You will also need to create a corresponding x-axis vector using the "linspace" function to plot the correct frequency values.

3. What is the difference between the Fourier transform and the inverse Fourier transform?

The Fourier transform is used to convert a signal from the time domain to the frequency domain, while the inverse Fourier transform does the opposite - it converts a signal from the frequency domain to the time domain. In other words, the Fourier transform shows the frequency components of a signal, while the inverse Fourier transform shows the time components.

4. How can I use the Fourier optical formula to filter out noise from my data?

You can use the Fourier optical formula in Matlab to filter out noise from your data by first taking the Fourier transform of your data. Then, you can identify the frequency components that correspond to noise and set their values to zero. Finally, you can use the inverse Fourier transform to convert the filtered data back to the time domain.

5. Are there any limitations to using the Fourier optical formula in Matlab for data analysis?

Yes, there are some limitations to using the Fourier optical formula in Matlab for data analysis. One limitation is that the Fourier transform assumes the data is periodic, so it may not be suitable for analyzing non-periodic signals. Additionally, the Fourier transform may not accurately capture high-frequency components in the data, which can lead to errors in the analysis.