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(Color online) Sketch of the junction diode (middle) with the enlarged unit cells and corresponding EFC on the 1st acoustic band of SCL (left) and the 3rd band of SCR (right) drawn to scale on the respective sides. The dashed squares in the EFC represent the corresponding 1st BZ.
(Color online) Depiction of the diode operation mechanism on the EFC at 11.5 kHz for incidence from left (a) and right (b). The solid EFCs centered on the M (M′) point belong to the 1st (3 rd) band of SCL (SCR), whereas the dashed circles are the corresponding EFC in air. The upper (lower) right triangles represent SCL (SCR) and indicate the relevant interface in each refraction process. The dashed lines indicate the surface normals and the construction lines, while the solid and hollow arrows are the wave vectors and the group-velocity vectors, respectively. The cross sign in (b) is to indicate that coupling to any spatial mode of SCR is not achieved at the interface.
(Color online) FEM results for the waves propagating to the right (a) and left (b) at 11.0 kHz (top), 11.5 kHz (middle), and 12.0 kHz (bottom). The dashed rectangles denoted by TR and TL represent the locations over which the wave intensities are integrated to calculate the transmission. Hollow arrows on the top and the solid arrows in (a) denote the propagation and outgoing wave directions, respectively.
(Color online) Transmission spectra of the SC junction diode for the waves transmitted to the right and the left (TR and TL , respectively, left ordinate), along with the corresponding transmission contrast ratio (CRL , right ordinate). The green region denotes the expected frequency range of rectification, whereas the arrows and vertical dashed lines on top denote the limits of the SCR bands.
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