Optical power evaluation by Hermite or Legendre polynomials in single-mode fiber

Due to low attenuation in third transmission windows, single mode fibers are the most popular medium, also, in supporting transfer of optical power to various devices. For this reason ability to achieve the maximum of optical power is still actual. There are two different ways to estimate the optical power in the fiber core. The first is analysis of mathematical model in the aim of getting the best wavelength guaranteeing maximum of optical power. Second way is approximation of distribution of optical power along radius without changes of wavelength and with constant attenuation coefficient. In this paper the second way of evaluation was chosen, where distribution of optical power in single-mode fiber is approximated by Hermite or Legendre polynomials.