(Color online) Schematic illustration of the acoustic diode.
Allocations of the grid points and the variable assignments in temporal and spatial domains.
(Color online) Size distributions of the utilized micro-bubble solutions. The hollow triangles are the data of SonoVue® from literature, the solid line is the corresponding fitted curve (denoted as “regular” distribution), and the dashed line is a hypothetical “narrow” distribution.
(Color online) The frequency dependent transmission coefficients of the water-glass SLs with the periodicity number N SL = 2 (the solid line), 4 (the dashed line), and 10 (the dash-dot line).
(Color online) The SHW pressure amplitude (normalized to 5 kPa) as a function of the bubble radius. κs = 15 × 10−9 N, χ = 1 N/m, f 0 = 1.05 MHz, C dilute = 0.05 V/V%. The values corresponding to utilizing a “regular” and “narrow” size distribution are also marked in the figure with dashed lines.
(Color online) SHW pressure amplitude (normalized to 5 kPa) as a function of shell elasticity and viscosity. f 0 = 1.05 MHz, C dilute = 0.05 V/V%, the “regular” bubble size distribution is applied.
(Color online) (A), (B), and (C) are the energy transmission properties of the AD devices utilized in Ref. 2 corresponding to bubble concentrations of 0.025, 0.05, and 0.1 V/V%, respectively. (D) shows the SHW amplitude of the optimized AD model (normalized to 5 kPa) as a function of bubble concentration. f 0 = 1.05 MHz, χ = 0.55 N/m, and κs = 7.2 × 10−9 N. The three points represent the three cases with the bubble concentrations of 0.025, 0.05, and 0.1 V/V%, respectively.
(Color online) (A) is the frequency dependent energy transmission coefficient of the optimized AD; (B) compares the rectification ratio between the optimized AD and that utilized in Ref. 2 with a bubble concentration of 0.05 V/V%. [The solid line refers to the “positive” (+) incidence, the dashed line corresponds to the “negative” (−) incidence.]
Parameters used in FDTD simulations.
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