High RF carrier frequency modulation in silicon resonators by coupling adjacent free-spectral-range modes

Tzuang, Lawrence D.; Soltani, Mohammad; Lee, Yoon Ho Daniel; Lipson, Michal

doi:10.1364/ol.39.001799

Cited by 37 publications

(35 citation statements)

References 18 publications

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“…8, a 4 × 3 array of silicon rings with free spectral range of each ring at 26 GHz as experimentally demonstrated in ref. 44 (which coincide with the modulation frequency), with an effective coupling constant t xy = t f =8 GHz and an internal loss rate of 2.7 GHz ( Q =2 × 10 5 ), suffice to demonstrate the one-way frequency conversion in the Fermi-arc surface state described in the previous section. The entire array can fit into a 3 × 4 mm 2 chip, which can be further reduced to 1 × 1 mm 2 by increasing the modulation frequency to 50 GHz and folding of the ring45, as shown in Supplementary Fig.…”

Section: Discussionmentioning

confidence: 73%

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

et al. 2016

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Weyl points, as a signature of 3D topological states, have been extensively studied in condensed matter systems. Recently, the physics of Weyl points has also been explored in electromagnetic structures such as photonic crystals and metamaterials. These structures typically have complex three-dimensional geometries, which limits the potential for exploring Weyl point physics in on-chip integrated systems. Here we show that Weyl point physics emerges in a system of two-dimensional arrays of resonators undergoing dynamic modulation of refractive index. In addition, the phase of modulation can be controlled to explore Weyl points under different symmetries. Furthermore, unlike static structures, in this system the non-trivial topology of the Weyl point manifests in terms of surface state arcs in the synthetic space that exhibit one-way frequency conversion. Our system therefore provides a versatile platform to explore and exploit Weyl point physics on chip.

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Section: Discussionmentioning

confidence: 73%

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

et al. 2016

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“…For modulation, the value of κ 1 and κ ′ corresponds to the efficiency for conversion to other frequencies after an incident wave with a certain frequency passes through the modulator. Our choice of κ 1 and κ ′ above corresponds to a conversion efficiency of 2% and 5 × 10 −5 %, which is reasonable for electro-optic modulators [22][23][24][25]. To observe the signal with the modulation in a time scale at the order of 4T in Figure 5 requires a loss < 10 −4 in energy per round trip.…”

Section: Realistic Realization In Ring Resonators Under Dynamic Mmentioning

confidence: 99%

Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation

et al. 2018

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We show that a single ring resonator undergoing dynamic modulation can be used to create a synthetic space with an arbitrary dimension. In such a system the phases of the modulation can be used to create a photonic gauge potential in high dimensions. As an illustration of the implication of this concept, we show that the Haldane model, which exhibits non-trivial topology in two dimensions, can be implemented in the synthetic space using three rings. Our results point to a route towards exploring higher-dimensional topological physics in low-dimensional physical structures. The dynamics of photons in such synthetic spaces also provides a mechanism to control the spectrum of light.

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“…The strength of the effective force is F jΔ∕Ω R j, which leads to a Bloch oscillation with a period T B 2π∕Δ [24,30]. We now proceed with a more realistic model of a ring under dynamic modulation [16,31]. We expand the electric field inside the resonator as [32] Et; r ⊥ ; z X m E m t; zE m r ⊥ e iω m t ;…”

Section: Theoretical Analysismentioning

confidence: 99%

Bloch oscillation and unidirectional translation of frequency in a dynamically modulated ring resonator

Yuan¹,

Fan²

2016

Optica

103

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The ability to control the spectrum of light is of fundamental significance in many applications of light. We consider a dynamically modulated ring resonator that supports a set of resonant modes equally spaced in their resonant frequencies, and is modulated at a frequency that is slightly detuned from the modal frequency spacing. We find that such a system can be mapped into a tight-binding model of photons under a constant effective force, and, as a result, the system exhibits Bloch oscillation along the frequency axis. The sign of the detuning is mapped to the sign of the effective force and hence controls the direction of the Bloch oscillation. We also show that a periodic switching of the detuning can lead to unidirectional transport of light along the frequency axis. Our work points to a new capability for manipulating the frequencies of light using dynamic microcavity structures.

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High RF carrier frequency modulation in silicon resonators by coupling adjacent free-spectral-range modes

Cited by 37 publications

References 18 publications

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension

Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation

Bloch oscillation and unidirectional translation of frequency in a dynamically modulated ring resonator

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