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Chinese Physics Letters

Time Delay of a Chirped Light Pulse After Transmitting a Fabry-Pérot Interferometer

Guang-Qiong Xia, Wu Zheng-Mao, Chen Jian-Guo

Published Feb 1, 2002• 4 citations
Publisher

Abstract

We have theoretically investigated the time delay of a chirped light pulse, defined as the temporal difference of peaks of the output and input light pulses after transmitting a Fabry-Perot interferometer. The results show that for an interferometer of known parameters, the chirp of the light pulse makes the time delay become intensively smaller. The mismatch between the central frequency of the light pulse and the resonance frequency of the interferometer also has an influence on the time delay. Under some circumstances, this mismatch will induce a time delay smaller than t0 that is defined as the one-way traverse time of the light inside the interferometer.

DOI
10.1088/0256-307x/19/2/318

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We have theoretically investigated the time delay of a chirped light pulse, defined as the temporal difference of peaks of the output and input light pulses after transmitting a Fabry-Perot interferometer. The results show that for an interferometer of known parameters, the chirp of the light pulse makes the time delay become intensively smaller. The mismatch between the central frequency of the light pulse and the resonance frequency of the interferometer also has an influence on the time delay. Under some circumstances, this mismatch will induce a time delay smaller than t0 that is defined as the one-way traverse time of the light inside the interferometer.
We have theoretically investigated the time delay of a chirped light pulse,defined as the temporal difference of peaks of the output and input light pulses after transmitting a Fabry-Perot interferometer.The results show that for an interferometer of known parameters,the chirp of the light pulse makes the time delaly become intensively smaller.The mismatch between the central frequency of the light pulse and the resonance frequency of the interferometer also has an influence on the time delay.Under some circumstances,this mismatch will induce a time delay smaller than t0 that is defined as the one-way traverse time of the light inside the interferometer.
In the first part the author reviews the classical theory of the Fabry Perot interferometer that is applicable when the interferometer is illuminated by a light beam of coherent vibrations having long duration. In the second part, he studies how a pulse of square form is transmitted through a Fabry Perot interferometer. The two parameters of duration τ and τ' that characterize the instrument were defined. τ represents the duration of light path for a forward and backward motion between the two plates and τ' characterises the duration of the exponential attenuation of the beam due to the successive multiple reflections it suffers. In the case of the pulse having duration Θ 0 > τ the emergent vibrations superpose progressively and the profile of intensity of the output pulse as a function of time is calculated. In case when Θ 0 < τ the successive separated pulses do not overlap. The Fourier analysis of the signal received by a detector has been discussed in this case. In part III, the analogy between the spectrum of the signal and the optical spectrum of the Fabry Perot has been shown. In part IV, the profile of the light reflected by the Febry Perot receiving a light pulse, in the time domain, has been established and in part V the balance of light energy stored in the Fabry Perot has been established.
We experimentally measure the propagation delays for chirped optical pulses with asymmetric temporal envelope functions, through a resonantly absorbing dye solution. The transmitted pulses suffer a strong deformation and the arrival times are dramatically modified by the interaction between the chirp and the absorption effect of the sample. It is shown that the arrival time, represented by the centroid of energy of the transmitted pulse, can be well described by the reshaping delay and has a greater significance than the peak of the pulse.
Introduced the main reason of optical pulse spreading in the slow light medium.Assuming a chirped Gaussian input signal pulse,this paper deduced the analytical expression of the output-pulse amplitude envelope,the pulse delay and the broadening factor in the slow light system with a broadband and rectangular Brillouin spectrum under lossless medium and small signal gain approximation.The influence of pump bandwidth and other factors between pulse delay and chirp parameter has been quantitatively analyzed.Simulation results show that adding initial chirp in Gaussian pulse can reduce the pulse broadening.
The question of how much time a wave packet spends in a traversing region of space has been of both fundamental and practical interest associated with the old problem of quantum particle tunneling. The question was then renewed by the experiment of Steinberg et al. (1993), implying the superluminal tunneling of a photon and began extending to physical systems concerning optical and electromagnetic waves. In this study, the traversal time taken by an optical pulse to off-resonantly transmit in a Fabry-Perot cavity is theoretically investigated as one such extension.