Abstract
In a white light cavity (WLC), the group velocity is superluminal over a finite bandwidth. For a WLC-based data buffering system we recently proposed, it is important to visualize the behavior of pulses inside such a cavity. The conventional plane wave transfer functions, valid only over space that is translationally invariant, cannot be used for the space inside WLC or any cavity, which is translationally variant. Here, we develop the plane wave spatio temporal transfer function (PWSTTF) method to solve this problem, and produce visual representations of a Gaussian input pulse incident on a WLC, for all times and positions.
Highlights
In the analysis of a pulse propagating through a cavity, the conventional approach considers only the temporal transfer function (TTF), which is defined as the ratio of the (complex) amplitude of the output field to that of an input field at a given frequency
We have found that the phase shift for the reflected beam is a constant of
We proposed the use of so-called White Light Cavities (WLCs) [6,7,8,9], to realize a trap-door data buffer system where the delay time achievable far exceeds the limit imposed by the delay-bandwidth constraint encountered in a slow-light based data buffer [10,11]
Summary
In the analysis of a pulse propagating through a cavity, the conventional approach considers only the temporal transfer function (TTF), which is defined as the ratio of the (complex) amplitude of the output field to that of an input field at a given frequency. To use the PWSTTF approach for determining the propagation of these fields as functions of both space and time, we decompose an input pulse with a given starting position and a temporal shape into a sum of the Ein fields, properly phased with respect to one another.
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