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Bulletin of the American Physical Society

Analysis of a single pulse of light through a Fabry-P\'{e}rot interferometer

Jerald B. Johnson, Kevin Lyon, Michael J. Johnson

Published May 31, 2008• 0 citations
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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.

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Precisely resolving two-photon energy-time entanglement by dual-channel Fabry-Pérot interferometry

Yuan Sun

Methods for precisely resolving the continuous-variable energy-time entanglement of paired photons have always been sought in quantum optics. The Fabry-P\'erot interferometer provides such a distinguished opportunity if the single-photon pulse's self-interference is carefully avoided. A dual-channel Fabry-P\'erot interferometer is proposed and studied with the focus put upon higher-order quantum interference effects. When the two channels are properly set up, the interferometer is capable of resolving the energy-time entanglement in detail, similar to how the usual Fabry-P\'erot interferometer can resolve classical light's spectrum. A variation form of the dual-channel Fabry-P\'erot interferometry is also discussed.

arXiv:1412.3867•Physical Review A•May 26, 2015•2 citations
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.
Methods for precisely resolving the continuous-variable energy-time entanglement of paired photons have always been sought in quantum optics. The Fabry-P\'erot interferometer provides such a distinguished opportunity if the single-photon pulse's self-interference is carefully avoided. A dual-channel Fabry-P\'erot interferometer is proposed and studied with the focus put upon higher-order quantum interference effects. When the two channels are properly set up, the interferometer is capable of resolving the energy-time entanglement in detail, similar to how the usual Fabry-P\'erot interferometer can resolve classical light's spectrum. A variation form of the dual-channel Fabry-P\'erot interferometry is also discussed.