Optical fiber V parameter and cutoff calculator

Input

Output

nm

About this calculator

This calculator computes the V parameter/number (also known as normalized frequency) of a step-index optical fiber. The V parameter is defined as

V=2πλaNAV = \dfrac{2\pi}{\lambda} a \mathrm{NA}

where λ\lambda is the wavelength of the signal, aa is the core radius of the fiber and NA\mathrm{NA} is the numerical aperture of its core.

This calculator also computes the cutoff wavelength, which determines when the fiber becomes single-mode. At shorter wavelengths, at least two LP modes can propagate; at longer wavelengths the fiber guides only a single transverse mode. V parameter value at the cutoff wavelength is Vcutoff=2.405V_{cutoff}=2.405 so the cutoff wavelength can be calculated from the V parameter as follows:

λcutoff=2πaNAVcutoff=VVcutoffλ\lambda_{cutoff} = \dfrac{2\pi a \mathrm{NA}}{V_{cutoff}} = \dfrac{V}{V_{cutoff}} \lambda