Source: http://aoot.osa.org/ome/abstract.cfm?uri=ome-9-4-1678
Timestamp: 2019-04-21 22:05:09+00:00

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A design for an ultrahigh Q/V nanobeam cavity engineered to interact with Germanium-vacancy (GeV) centers is presented. The nanobeam cavity supports a mode with Q/V>108 with transmission over 70%. The proposed design is based on a new scalable approach developed to reduce the footprint of nanobeam cavities by more than 50% without losing the cavity Q/V value and transmission. Cavity quantum electrodynamics analysis reveals that strong coupling between the zero-phonon line transition of GeV centers and the cavity mode can be achieved for a range of nanobeam dimensions.
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Fig. 1 (a) A sketch of tapered nanobeam cavity with semicircular holes and E y field distribution of the TE fundamental mode. (b) Mirror strength as a function of nanobeam final width W f for three configurations: only central holes (green), central holes with in-phase semicircular holes (orange), central holes with out-of-phase semicircular holes (blue). (c) Mirror strength as a function of the hole segment number after parabolic tapering using this formula: W f = W 0 +2 R w −2 R w 1− ( N/ R w ) 2 , where W 0 /a=1.5 (1st hole) and W f /a=1.8 (15th hole). The dashed line is a linear fit with R 2 =0.98. (d) TE band structure for the proposed design. The dashed line marks the cavity resonant frequency.
Fig. 2 (a) & (b) The cavity transmission and number of holes as a function of Q/V value for different nanobeam final widths, respectively. The nanobeam initial width in (a) & (b) is fixed, W 0 /a=1.5. (c) The dependence of Q/V value taken at 90% cavity transmission on the nanobeam initial width. The difference between the final and initial width is fixed, ΔW/a = 0.3. (d) Number of holes as a function of Q/V value for different nanobeam initial widths.
Fig. 3 (a) A sketch of DNC placed on top of a nanobeam cavity. (b) Relevant cavity QED rates as a function of number of holes. κ/2π is the cavity decay rate, γ/2π is the atomic decay rate of the GeV center, and g/2π is the single photon coupling rate. (c) Cooperativity (dots) and weak/strong coupling index (open circles) as a function of number of holes. (d) cooperativity as a function of number of holes for different DNC sizes.
Fig. 4 Mirror strength as a function of hole radius for two nanobeam designs with (blue) and without (orange) semicircular holes. The design in (a) is obtained from Notomi et al. , and the design in (b) is obtained from Qimin et al. . The enhancement of the mirror strength (a) and (b) is 70% and 40%, respectively.
Fig. 5 (a) TE band structure for a tapered nanobeam cavity with only central holes. (b) Mirror strength as a function of hole position after parabolic tapering. (c) The dependence of Q/V value with 90% transmission on the nanobeam initial width W 0 . (d) Number of holes as a function of Q/V value. We considered the same initial and final width in both designs.
Fig. 6 Reduction in the number of holes gained by the design demonstrated in the main text as a function of Q/V value for different initial widths (a) and final widths (b).
Fig. 7 (a) E y field distribution for the TE fundamental mode obtained from FDTD simulations (blue dots) and from an analytical formula (red line). (b) E y cross sections of the TE fundamental mode. α 2 is the ratio of the energy density in the GaP nanobeam cavity to the maximum energy density at the DNC calculated for different nanobeam thicknesses. (c) The cavity transmission as a function of Q/V value for dielectric-centered cavity (blue) and air-centered cavity (orange).
Fig. 8 (a) The cavity transmission as a function of Q/V value for different nanobeam thicknesses. (b) Cooperativity (dots) and weak/strong coupling index (open circles) as a function of nanobeam thickness. We considered cavities with Q/V = 10 6 for all thicknesses in (b) to maintain the cavity transmission.

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