Plane Wave-Perturbative Method for Evaluating the Effective Speed of Sound in 1D Phononic Crystals

<div>Dependence of the effective longitudinal sound velocity for a homogenized 1D phononic crystal of aluminium embedded in water upon the aluminium filling fraction <svg height="12.7178pt" id="M158" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 8.47692 12.7178" width="8.47692pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M619 670C619 686 593 712 555 712S459 686 410 634S335 504 320 430H250L219 400L222 388H312L258 73C223 -133 201 -166 187 -180C175 -191 158 -199 140 -199C123 -199 88 -188 74 -172C68 -166 63 -164 54 -171C38 -185 23 -201 23 -215C23 -236 60 -261 93 -261C122 -261 161 -247 207 -200C268 -138 300 -71 337 94C365 220 376 277 394 387L501 399L521 430H401C432 623 464 665 501 665C524 665 544 651 567 627C577 617 583 618 592 625C601 631 619 651 619 670Z" id="g113-103"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="642" vert-adv-y="642"></glyph.data></g></svg>.</div>

Advances in Materials Science and Engineering

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Figure 8

Figure 8: Plane Wave-Perturbative Method for Evaluating the Effective Speed of Sound in 1D Phononic Crystals 