Transform-limited pulse calculator
About these calculators
The first calculator computes the transform-limited, i.e. minimum possible, pulse duration of a Gaussian or sech² pulse with a given spectral width either in wavelength or frequency domain. The second calculator computes the inverse of that, in other words, the minimum spectral width required to obtain a given pulse duration. In both cases, the calculation is based on the time-bandwidth product, which is a constant of the order of unity for transform-limited pulses and depends slightly on the pulse shape.
The time-bandwidth products of transform-limited Gaussian and sech² pulses are:
Since time-bandwidth product is defined as