{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Optical Networks - _E_1 Propagation of Chirped Gaussian Pulses_155

# Optical Networks - _E_1 Propagation of Chirped Gaussian Pulses_155

This preview shows page 1. Sign up to view the full content.

772 Pulse Propagation in Optical Fiber E.1 Propagation of Chirped Gaussian Pulses Mathematically, a chirped Gaussian pulse at z = 0 is described by the equation G(t) = A 0 e 1 + 2 t T 0 2 e 0 t = A 0 e 1 2 t T 0 2 cos ω 0 t + κ 2 t T 0 2 . (E.6) The peak amplitude of the pulse is A 0 . The parameter T 0 determines the width of the pulse. It has the interpretation that it is the half-width of the pulse at the 1 /e -intensity point. (The intensity of a pulse is the square of its amplitude.) The chirp factor κ determines the degree of chirp of the pulse. From (E.4), the phase of this pulse is φ(t) = ω 0 t + κt 2 2 T 2 0 . The instantaneous angular frequency of the pulse is the derivative of the phase and is given by d dt ω 0 t + κ 2 t 2 T 2 0 = ω 0 + κ T 2 0 t. We define the chirp factor of a Gaussian pulse as T 2 0 times the derivative of its instantaneous angular frequency. Thus the chirp factor of the pulse described by (E.6) is
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online