Dunaevskij Zhurchat Ruchji Noti

Graphene is an optical material of unusual characteristics because of its linearly dispersive conduction and valence bands and the strong interband transitions. It allows broadband light-matter interactions with ultrafast responses and can be readily pasted to surfaces of functional structures for photonic and optoelectronic applications. Recently, graphene-based optical modulators have been demonstrated with electrical tuning of the Fermi level of graphene. Their operation bandwidth, however, was limited to about 1 GHz by the response of the driving electrical circuit. Clearly, this can be improved by an all-optical approach. Here, we show that a graphene-clad microfiber all-optical modulator can achieve a modulation depth of 38% and a response time of ∼2.2 ps, limited only by the intrinsic carrier relaxation time of graphene.

This modulator is compatible with current high-speed fiber-optic communication networks and may open the door to meet future demand of ultrafast optical signal processing. Graphene is known to exhibit a variety of exceptional electronic and photonic properties. Because of its unique electronic structure, a graphene monolayer can have a constant absorption coefficient of 2.3% over a wide spectral range from the visible to the infrared with the low-frequency part tunable by external fields (e.g., electrical-bias tuning of the Fermi level or optical excitation of carriers leading to Pauli blocking of part of the interband transitions).

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The relaxation time of the photoexcited carriers is only a few picoseconds, dominated by electron–phonon interactions and cooling of hot phonons. Compared to many other materials for ultrafast optics, graphene has the unique merit of possessing exceptionally high nonlinearity over a broad spectral range with ultrafast response. Being atomically thin, it is also highly flexible to be incorporated into other photonic structures. Recently, by electrically tuning the Fermi level of a graphene film, pasted onto a planar waveguide to modify the interband transitions of graphene, Liu et al. Have successfully demonstrated a high-speed graphene-based optical modulator. The modulation bandwidth was however limited to ∼1 GHz by the response time of the bias circuit. For future optical data processing, a modulation rate larger than 100 GHz is needed.

Obviously, the “electrical bottleneck” on the modulation rate can be circumvented by an all-optical scheme but to date graphene-based ultrafast all-optical modulation (e.g., bandwidth >100 GHz) has not yet been reported. Here, taking the advantage of the mature platform of fiber optics, we report a graphene-clad microfiber (GCM) all-optical modulator at ∼1.5 μm (the C-band of optical communication) with a response time of ∼2.2 ps (corresponding to a calculated bandwidth of ∼200 GHz for Gaussian pulses with a time-bandwidth product of 0.44) limited only by the intrinsic graphene response time. The modulation comes from the enhanced light-graphene interaction due to optical field confined to the wave guiding microfiber and can reach a modulation depth of 38%. Our GCM all-optical modulator is illustrated in Figure a. A thin layer of graphene is wrapped around a single-mode microfiber, which is a section with the ends tapered down from a standard telecom optical fiber.

Previously, GCM structures have been reported for fiber-based mode-locking lasers and 1 MHz optical modulators in which the diameter of the microfiber is around 10 μm. Here, we employ subwavelength-diameter (e.g., around 1 μm diameter for C-band of optical communication) microfiber for single-mode operation. The principle of the GCM modulator is as follows. A weak infrared signal wave coupled into the GCM experiences significant attenuation due to absorption in graphene as it propagates along. When a switch light is introduced, it excites carriers in the graphene and through Pauli blocking of interband transitions it shifts the absorption threshold of graphene to higher frequency, resulting in a much lower attenuation of the signal wave.

The switch light leads to modulation of the signal output from the fiber, and its response time is limited by the relaxation of the excited carriers. The relaxation time of carrier–carrier scattering in graphene is known to be tens to hundreds of femtoseconds and that of carrier-phonon scattering ∼1 to a few picosecnds (refs ). The switch-light-induced refractive index change of the atomically thin graphene is small enough that it does not appreciably change the wave-guiding mode of the microfiber. We also note that tapering of a section of the regular fiber into a microfiber does not introduce appreciable loss [see Figure S1]. This allows a GCM modulator to be easily incorporated into a standard fiber-optic system for in-fiber operation. Schematic illustration of a GCM optical modulator.