Influence of fiber nonlinearity on the fiber transfer function: theoretical and experimental analysis

Analysis of a true time delay photonic beamformer for transmission of a linear frequency-modulated waveform

“…12 shows the conversion of the nonlinearly induced optical phase modulation to RF magnitude modulation. Power is transferred from the optical carrier to the RF component, and the detected RF power can actually increase substantially for the nonlinear case, although as noted [16], [17], other factors such as Raman scattering will come into play. The two solid lines, obtained using the conversion matrix [(9) for the linear case (γ = 0), and (25) for the nonlinear case (γ = 0)] exactly match the results of [17].…”

“…Therefore, the resulting sidelobes of the impulse response should not vary with these parameters. Comparing (16) and (17), we note that when A = 0 in (15), the amplitudes of the sinusoidal RF magnitude and phase ripples for the SSB case are identical to those of the DSB case with θ C = π/2. Thus, for example, the effect of the optical ripples on the sidelobes of the impulse response for SSB for the case P opt ω /(2πB) = 0.25 can be taken from Fig.…”

“…Propagating through the fiber, the induced nonlinear phase modulation will be converted by the fiber dispersion back to intensity modulation, thereby affecting the overall RF transfer function of the system. This situation has been analyzed [16] and a closed-form solution was found [17] for small-signal propagation, assuming constant dispersion. Below, we extend the conversion matrix of Section III to include optical nonlinear interactions for arbitrary dispersion.…”

“…where, following [16] and [17], p N (z, f ) = ∆I(z, f )/ exp (−αz), where α is the (intensity) attenuation coefficient. Equation (27) is valid for arbitrary dispersion and reduces to (1) and (2) of [17] for the case of first-order dispersion.…”

Simulation of Pulse Propagation in Optical Fibers

“…A simple technique of pulse compression based on linear chirp compensation of self-phase modulation in dispersion-shifted fibers was demonstrated by Calvani et.al [5]. An expression for relative intensity noise due to dispersion and nonlinearity including fiber loss was derived to show its impact with first order dispersion term [6]. The use of SPM and joint optimization of the bias and modulation voltages to increase the dispersion limited transmission distance at 10 Gb/s were combined by Cartledge [7].…”