Compute the full width at half height of a gaussian function

Reference no: EM13502248

1) Find the Fourier Transform of the function exp(-πx2/σ2). Explain how the width and height of the bands are inversely related in the two domains. Why should this be so?

2) Find the real and imaginary parts of the Fourier transform of a casual function exp(-πx2/σ2) x≥0. Why do we get both real and imaginary parts for this transform?

3) Calculate the full width at half height (FWHH) of a Gaussian function exp(-πx2/σ2).

4) By considering a monochromatic source show that a Michelson interferometer performs a Fourier transform of the source in the frequency domain to a signal in the time domain.

Reference no: EM13502248

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