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Optics Letters

Delayed optical images through coupled-resonator-induced transparency

Parvin Sultana, Akira Takami, Takahiro Matsumoto, Makoto Tomita

Published Oct 8, 2010• 12 citations
Publisher

Abstract

We propagated transverse two-dimensional images encoded on optical pulses through a frequency window of a coupled-image-resonator-induced transparency. The optical images are stored and delayed by 10.6ns, reflecting the tunable dispersion of the coupled resonator. The k-space bandwidth of the amplitude transfer function of the system is discussed in the presence of the off-resonance Fano interference effect between the two resonators.

DOI
10.1364/ol.35.003414

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We propagated transverse two-dimensional images encoded on optical pulses through a frequency window of a coupled-image-resonator-induced transparency. The optical images are stored and delayed by 10.6ns, reflecting the tunable dispersion of the coupled resonator. The k-space bandwidth of the amplitude transfer function of the system is discussed in the presence of the off-resonance Fano interference effect between the two resonators.
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The inverted spectral structure of coupled-resonator-induced transparency was experimentally demonstrated using an amplifying optical ring resonator, to which another dark ring resonator was coupled. A nonamplifying spectral window was induced by the dark resonator in an otherwise strongly amplifying spectral region. Within the induced window, sharp anomalous dispersion was expected. Propagation of nearly Gaussian-shaped optical pulses was observed; the pulses propagated through the amplifying medium with a negative delay of $\ensuremath{-}$20.8 ns, without significant amplification, attenuation, or pulse deformation. The inverted induced-transparency system, producing tunable fast light, is a complementary system to traditional induced-transparency systems that produce slow light and could be potentially useful in numerous applications.
We performed optical pulse propagation experiments in a system in which two ultrahigh-Q silica microspheres of different diameters were coupled in tandem to a fiber taper to yield coupled-resonator-induced transparency. Nearly Gaussian-shaped optical pulses propagated with a large positive delay of 8.5 ns through a transparent frequency window, without significant attenuation, amplification, or pulse deformation, demonstrating classical analogy of the extremely slow light obtained with electromagnetically induced transparency.
We applied Fourier space analysis to a comprehensive study of the propagation of pulsed two-dimensional images through single and coupled image resonators. The Fourier method shows that the image can propagate through the resonator successfully as long as the spatial and temporal Fourier components of the image are within the bandwidth of the amplitude and phase transfer functions. The relevant steep dispersion of the cavity can yield delayed or advanced images. The Fourier method reproduces characteristic aspects of the experimental observations of the image propagation, and also predicts new aspects, such as the spatial image profile dependence on the observation time and the coupling strength. To demonstrate the time evolution of the experiment, space- and time-resolved image propagations were performed using a streak camera.