Frequency-filtered images. r-ω space results. (a) Straight waveguide at 322 MHz (row 1) and 482 MHz (row 2). Columns 1 and 2: maps of the experimental and simulated A = |Fω(r, ω)|, together with sections (vertical curves) through the centre of the waveguide. Columns 3 and 4: A cos ϕ. Column 4 includes cross sections in a vertical plane running through the waveguide centres. Both the simulation and experimental data are normalized, with identical scales at the two frequencies in each case. (b) The same for the L waveguide. Cross sections are based on lines or planes though the centre of the waveguide.

Frequency-filtered images. r-ω space results. (a) Straight waveguide at 322 MHz (row 1) and 482 MHz (row 2). Columns 1 and 2: maps of the experimental and simulated A = |Fω(r, ω)|, together with sections (vertical curves) through the centre of the waveguide. Columns 3 and 4: A cos ϕ. Column 4 includes cross sections in a vertical plane running through the waveguide centres. Both the simulation and experimental data are normalized, with identical scales at the two frequencies in each case. (b) The same for the L waveguide. Cross sections are based on lines or planes though the centre of the waveguide.

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Control of sound in phononic band-gap structures promises novel control and guiding mechanisms. Designs in photonic systems were quickly matched in phononics, and rows of defects in phononic crystals were shown to guide sound waves effectively. The vast majority of work in such phononic guiding has been in the frequency domain, because of the impor...

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... Zhang 19 created three novel arrays to expand the BG of local resonance, which formed a WG and might be more suitable for noise reduction of railway or highway vehicles compared with the conventional PnC plate. Sun 20 and Otsuka 21 identified the BG and eigenmode of the model by calculating the dispersion relation and displacement field of PnC. They designed the L-shaped WG using defects. ...
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... The introduction of defects provides new ideas to manipulate waves, and to design and manufacture novel acoustic devices with phononic crystals, and has attracted widespread attention. Linear lines * Corresponding authors. of defects [12][13][14], as the most commonly used guidance mechanism, are thus formed to channel waves at selected frequencies in the band gap with strong confinement [15,16], promising a variety of potential applications [17][18][19] such as sensing [20][21][22][23][24][25], filtering [26], or waveguiding [14,27,28]. ...
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