Abstract
We investigate the propagation characteristics of dark solitons in a periodic dispersion managed medium. The numerical procedures used to solve the nonlinear Schrödinger equation (NLSE) include the Lanczos-Chebyshev pseudospectral reduction method and an iterative implicit stepwise algorithm. The dark exactly periodic (EP) solitons found show stationary propagating wave characteristics with slow varying pulse width but constant pulse energy. We show how to apply our findings to design a physical optical system. The wavelength change is linearly proportional to the distance traveled. When calibrated using observed data from astronomy, our solutions could be converted to what is given in Hubble’s law. We conclude that redshift is an important intrinsic property of light transmitting through space.
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