Time Bandwidth Product

1. Central wavelength: nm
2. Spectral half-width (FWHM/2): nm

1. Central wavelength: nm
2. Spectral half-width (FWHM/2): nm
3. Pulse duration half-width: fs

This program calculates the time–bandwidth product (TBP) of ultrashort laser pulses. Function 1: given wavelength and spectral width, compute the Fourier-transform-limited pulse duration. Function 2: given spectral width and pulse duration, compute the TBP.

1. Time–bandwidth product:

$$TBP =\Delta \nu \cdot \tau =\frac{c}{\lambda^2_0}\Delta \lambda \tau$$

2. FT-limited pulse duration:

$$\tau = C_B/\Delta \nu =\frac{C_B}{c\Delta \lambda}\lambda^2_0$$

[01] Shunxiang Shi et al., Nonlinear Optics, pp. 450–451.