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ACTA PHOTONICA SINICA

Nonlinear Optical Fiber Channel Capacity Estimation

Xiaoping Zhang

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

For studying the accurate impacts of nonlinear fiber propagation on channel capacity conveniently, a numerical calculating method derived from signal power transmission property is presented, its dependences on input pulses peak power is obtained, and spontaneous emission noise intensity, nonlinear coefficients and group velocity dispersion of fiber are amplified. It can also conclude that the improvement of nonlinear channel capacity will not go with the improvement of input signal power especially for larger power input case, which can be used as a guideline to calculate nonlinear channel capacity theoretically and improve nonlinear channel capacity in technical application.

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•Jan 1, 2009•2 citations
For studying the accurate impacts of nonlinear fiber propagation on channel capacity conveniently, a numerical calculating method derived from signal power transmission property is presented, its dependences on input pulses peak power is obtained, and spontaneous emission noise intensity, nonlinear coefficients and group velocity dispersion of fiber are amplified. It can also conclude that the improvement of nonlinear channel capacity will not go with the improvement of input signal power especially for larger power input case, which can be used as a guideline to calculate nonlinear channel capacity theoretically and improve nonlinear channel capacity in technical application.
We consider the information channel described by the Schrödinger equation with additive Gaussian noise. We introduce the model of the input signal and the model of the output signal receiver. For this channel, using perturbation theory for the small nonlinearity parameter, we calculate the first three terms of the expansion of the conditional probability density function in the nonlinearity parameter. At a large signal-to-noise power ratio, we calculate the conditional entropy, output signal entropy, and mutual information in the leading and next-to-leading order in the nonlinearity parameter and in the leading order in the parameter 1/SNR. Using the mutual information, we find the optimal input signal distribution and channel capacity in the leading and next-to-leading order in the nonlinearity parameter. Finally, we present the method of the construction of the input signal with the optimal statistics for the given shape of the signal.
Fiber optic amplifiers will improve the power of signals propagating in optical fibers, usually using doped ions as amplifiers. The bismuth-doped fiber amplifier can amplify the current E-band signal light, which is less used, and provide a solution to enhance the communication transmission capacity.In this essay, Matlab is used as a research tool, and the bismuth-doped fiber amplifier is selected, and the energy level system is a three-energy levelThe 830 nm-wavelength pumping source amplifies the signal light at 1390 nm. The bismuth-ion velocity and power amplification propagation equations are established, and the amplified spontaneous radiated optical power is calculated. Amplified spontaneous radiation optical power, and through the calculation and simulated annealing algorithm to derive the amplified spontaneous radiation optical power amplification with the doping concentration and fiber length spectrum, in the fiber length of 3.3m and the number of doped particles of 9.1 * 10^25 to obtain the maximum optical power of 7.95*10^-9W.
The optical signal transmitted on a fiber with thermal noise, attenuation and amplification is studied. The channel is considered as a quantum channel while the signal to be transmitted is classical. The classical information is encoded in a quantum state then it is transmitted in optical fiber. At the receiving end, measurement is performed on the output quantum state to retrieve the classical information. The optimal distribution of the input quantum state achieving the channel capacity is Gaussian. The capacity is characterized by the attenuation/amplification coefficient and thermal noise in the transmission and at the measurement process together by the power of the input. The loss (or attenuation) of an optical fiber usually should be compensated by the amplification. We show that when they coexist, additional noise occurs
The eigenvalue of the eigenvalue equation associated to the nonlinear Schrödinger equation is constant regardless of the propagation distance, so it’s an ideal information carrier that is not affected by the dispersion and the nonlinearity of optical fiber. However, the eigenvalue is affected by noise added to the signal. In this paper, we study the influence of the amplified spontaneous emission noise caused by optical amplifiers inserted at equal intervals in optical transmission system. The theoretical analysis result is consistent with computer simulated and experimental results.
As is well known, quantum optics has developed significantly in recent years and advanced several hot research topics, such as quantum communications, quantum sensing, quantum calculations, etc. Among these researches, it is important to understand the quantum information transmitting in optical fiber. For realizing longer transmission distance and better transmission quality, great effort has devoted to the researches of encoding and decoding at the transmitter and the receiver end. However, less attention was paid to the fading of signal in the transmission channel. In this work, we mainly focus on the transmission model of optical quantum transmission and the influences of loss, dispersion and nonlinear effect on fiber transmission of optical quantum information are also discussed.Quantum information transmission can be influenced by loss, dispersion and nonlinear effect in optical fiber, leading to transmission state evolution and energy transfer. Based on the transmission equation of single mode fiber and quantum theory of electromagnetic field, the fundamental mode field of single mode fiber is quantized. A quantum transmission equation is deduced from the classical optical transmission equation through quantizing the amplitude of electromagnetic field. Compared with classic wave theory, the photon transmission equation quantizing the slowly-varying amplitude in the coupled nonlinear Schrdinger equation is obtained. In the classic wave equation, light is interpreted as energy which propagates as waves. The photon transmission equation is obtained by quantizing the slowly-varying amplitude of light, that is, the particle nature of light. The energy propagates through alternative interaction between creation and annihilation operator on photons. The transmission equations show that photons will interact with the transmission medium during propagation and be influenced by dispersion, nonlinear effect, loss, etc. By giving a trail solution and introducing a perturbation term, the transmission equation is solved for the complicated case where the dispersion, loss and nonlinear effect are all involved. A dispersion equation that should be satisfied for nontrivial solution is then obtained. From this dispersion equation, the relation between photon power and perturbation frequency is calculated and analyzed. The change of photon power in generalized field with perturbation frequency is discussed, and the influences of fiber dispersion and nonlinearity on the solution are analyzed.Some conclusions are obtained by perturbed solution and analyses of single photon transmission equation in optical fiber. It is found that photon power decreases with the increase of perturbation frequency and reaches its maximum value for zero perturbation frequency. At the same time, the optical power is affected by the dispersion of the optical fiber. Photon power decreases with the GVD coefficient far from the zero dispersion point. It is also found that photon power decreases with the increase of nonlinear coefficient. This work may contribute to the research of the properties of quantum fiber transmission system.