Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
/content/aip/journal/adva/5/11/10.1063/1.4936640
1.
1.M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, Phys. Rev. Lett. 71, 2022 (1993).
http://dx.doi.org/10.1103/PhysRevLett.71.2022
2.
2.N. Swinteck, J. O. Vasseur, A. C. Hladky-Hennion, C. Croënne, S. Bringuier, and P. A. Deymier, J. Appl. Phys. 112, 024514 (2012).
http://dx.doi.org/10.1063/1.4739264
3.
3.K. M. Ho, C. K. Cheng, Z. Yang, X. X. Zhang, and P. Sheng, Appl. Phys. Lett. 83, 5566 (2003).
http://dx.doi.org/10.1063/1.1637152
4.
4.R. Martínez-Sala, J. Sancho, J. V. Sánchez, J. Llinares, and F. Meseguer, Nature 378, 241 (1995).
http://dx.doi.org/10.1038/378241a0
5.
5.J. V. Sánchez-Pérez, D. Caballero, R. Mártinez-Sala, C. Rubio, J. Sánchez-Dehesa, F. Meseguer, J. Llinares, and F. Gálvez, Phys. Rev. Lett. 80, 5325 (1998).
http://dx.doi.org/10.1103/PhysRevLett.80.5325
6.
6.D. Richards and D. Pines, J. Sound. Vib. 264, 317 (2003).
http://dx.doi.org/10.1016/S0022-460X(02)01213-0
7.
7.V. Laude, L. Robert, W. Daniau, A. Khelif, and S. Ballandras, Appl. Phys. Lett. 89, 083515 (2006).
http://dx.doi.org/10.1063/1.2338523
8.
8.H. H. Huang and C. T. Sun, New J. Phys. 11, 013003 (2009).
http://dx.doi.org/10.1088/1367-2630/11/1/013003
9.
9.J. H. Sun and T. T. Wu, Phys. Rev. B 76, 104304 (2007).
http://dx.doi.org/10.1103/PhysRevB.76.104304
10.
10.Y. Pennec, B. Djafari-Rouhani, J. O. Vasseur, A. Khelif, and P. A. Deymier, Phys. Rev. E 69, 046608 (2004).
http://dx.doi.org/10.1103/PhysRevE.69.046608
11.
11.I. El-Kady, R. H. Olsson III, and J. G. Fleming, Appl. Phys. Lett. 92, 233504 (2008).
http://dx.doi.org/10.1063/1.2938863
12.
12.S. Mohammadi, A. A. Eftekhar, W. D. Hunt, and A. Adibi, Appl. Phys. Lett. 94, 051906 (2009).
http://dx.doi.org/10.1063/1.3078284
13.
13.T. T. Wu, W. S. Wang, J. H. Sun, J. C. Hsu, and Y. Y. Chen, Appl. Phys. Lett. 94, 101913 (2009).
http://dx.doi.org/10.1063/1.3100775
14.
14.S-C. S. Lin and T. J. Huang, J. Appl. Phys. 106, 053529 (2009).
http://dx.doi.org/10.1063/1.3213361
15.
15.S-C. S. Lin, T. J. Huang, J. H. Sun, and T. T. Wu, Phys. Rev. B 79, 094302 (2009).
http://dx.doi.org/10.1103/PhysRevB.79.094302
16.
16.S. Gonella, A. C. To, and W. K. Liu, J. Mech. Phys. Solids. 57, 621 (2009).
http://dx.doi.org/10.1016/j.jmps.2008.11.002
17.
17.X. D. Zhang and Z. Y. Liu, Appl. Phys. Lett. 85, 341 (2004).
http://dx.doi.org/10.1063/1.1772854
18.
18.M. H. Lu, C. Zhang, L. Feng, J. Zhao, Y. F. Chen, Y. W. Mao, J. Zi, Y. Y. Zhu, S. N. Zhu, and N. B. Ming, Nat. Mater. 6, 744 (2007).
http://dx.doi.org/10.1038/nmat1987
19.
19.I. Pérez-Arjona, V. J. Sánchez-Morcillo, J. Redondo, V. Espinosa, and K. Staliunas, Phys. Rev. B 75, 014304 (2007).
http://dx.doi.org/10.1103/PhysRevB.75.014304
20.
20.J. Shi, S-C. S. Lin, and T. J. Huang, Appl. Phys. Lett. 92, 111901 (2008).
http://dx.doi.org/10.1063/1.2895019
21.
21.X. F. Li, X. Ni, L. Feng, M. H. Lu, C. He, and Y. F. Chen, Phys. Rev. Lett. 106, 084301 (2011).
http://dx.doi.org/10.1103/PhysRevLett.106.084301
22.
22.B. Liang, B. Yuan, and J-C. Cheng, Phys. Rev. Lett. 103, 104301 (2009).
http://dx.doi.org/10.1103/PhysRevLett.103.104301
23.
23.A. Cicek, O. A. Kaya, and B. Ulug, Appl. Phys. Lett. 100, 111905 (2012).
http://dx.doi.org/10.1063/1.3694020
24.
24.N. Zen, T. A. Puurtinen, T. J. Isotalo, S. Chaudhuri, and I. J. Maasilta, Nat. Commun. 5, 3435 (2014).
http://dx.doi.org/10.1038/ncomms4435
25.
25.B. L. Davis and M. I. Hussein, Phys. Rev. Lett. 112, 055505 (2014).
http://dx.doi.org/10.1103/PhysRevLett.112.055505
26.
26.O. Sigmund and K. Hougaard, Phys Rev. Lett. 100, 153904 (2008).
http://dx.doi.org/10.1103/PhysRevLett.100.153904
27.
27.H. Men, N. C. Nguyen, R. M. Freund, K. M. Lim, P. A. Parrilo, and J. Peraire, Phys. Rev. E 83, 046703 (2011).
http://dx.doi.org/10.1103/PhysRevE.83.046703
28.
28.O. Sigmund and J. S. Jensen, Philos. Trans. R. Soc. Lond. A 361, 1001 (2003).
http://dx.doi.org/10.1098/rsta.2003.1177
29.
29.G. A. Gazonas, D. S. Weile, R. Wildman, and A. Mohan, Int. J. Solids. Struct. 43, 5851 (2006).
http://dx.doi.org/10.1016/j.ijsolstr.2005.12.002
30.
30.O. R. Bilal and M. I. Hussein, Phys. Rev. E 84, 065701 (2011).
http://dx.doi.org/10.1103/PhysRevE.84.065701
31.
31.H. W. Dong, X. X. Su, Y. S. Wang, and Ch. Zhang, Struct. Multidiscip. Optim. 50, 593 (2014).
http://dx.doi.org/10.1007/s00158-014-1070-6
32.
32.H. W. Dong, X. X. Su, Y. S. Wang, and Ch. Zhang, Phys. Lett. A 378, 434 (2014).
http://dx.doi.org/10.1016/j.physleta.2013.12.003
33.
33.H. W. Dong, X. X. Su, and Y. S. Wang, J. Phys. D: Appl. Phys. 47, 155302 (2014).
http://dx.doi.org/10.1088/0022-3727/47/15/155302
34.
34.H. W. Dong, Y. S. Wang, T. X. Ma, and X. X. Su, J. Opt. Soc. Am. B 31, 2946 (2014).
http://dx.doi.org/10.1364/JOSAB.31.002946
35.
35.C. J. Rupp, A. Evgrafov, K. Maute, and M. L. Dunn, Struct. Multidisc. Optim. 34, 111 (2007).
http://dx.doi.org/10.1007/s00158-006-0076-0
36.
36.S. Halkjer, O. Sigmund, and J. S. Jensen, Struct. Multidisc. Optim. 32, 263 (2006).
http://dx.doi.org/10.1007/s00158-006-0037-7
37.
37.R. Z. Wang, X. H. Wang, B. Y. Gu, and G. Z. Yang, J. Appl. Phys. 90, 4307 (2001).
http://dx.doi.org/10.1063/1.1406965
38.
38.C. M. Anderson and K. P. Giapis, Phys. Rev. B 56, 7313 (1997).
http://dx.doi.org/10.1103/PhysRevB.56.7313
39.
39.N. Malkova, S. Kim, and V. Gopalan, Phys. Rev. B 66, 115113 (2002).
http://dx.doi.org/10.1103/PhysRevB.66.115113
40.
40.N. Malkova, S. Kim, T. DiLazaro, and V. Gopalan, Phys. Rev. B 67, 125203 (2003).
http://dx.doi.org/10.1103/PhysRevB.67.125203
41.
41.W. M. Kuang, Z. L. Hou, and Y. Y. Liu, Phys. Lett. A 332, 481 (2004).
http://dx.doi.org/10.1016/j.physleta.2004.10.009
42.
42.S. Preble, M. Lipson, and H. Lipson, Appl. Phys. Lett. 86, 061111 (2005).
http://dx.doi.org/10.1063/1.1862783
43.
43.K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, IEEE T. Evolut. Comput. 6, 182 (2002).
http://dx.doi.org/10.1109/4235.996017
44.
44.J. B. Li, Y. S. Wang, and Ch. Zhang, J. Comput. Acoust. 20, 1250014 (2012).
http://dx.doi.org/10.1142/S0218396X12500142
45.
45.J. Bucay, E. Roussel, J. O. Vasseur, P. A. Deymier, A-C. Hladky-Hennion, Y. Pennec, K. Muralidharan, B. Djafari-Rouhani, and B. Dubus, Phys. Rev.B 79, 214305 (2009).
http://dx.doi.org/10.1103/PhysRevB.79.214305
46.
46.L. Jiang, J. Wei, H. Li, X. Li, C. Cong, and Z. Shen, J. Opt. Soc. Am. B 26, 2157 (2009).
http://dx.doi.org/10.1364/JOSAB.26.002157
47.
47.M. S. Kumar, S. Menabde, S. Yu, and N. Park, J. Opt. Soc. Am. B 27, 343 (2010).
http://dx.doi.org/10.1364/JOSAB.27.000343
48.
48.M. Maldovan and E. Thomas, Appl. Phys. B: Laser and Optics 83, 595 (2006).
http://dx.doi.org/10.1007/s00340-006-2241-y
49.
49.M. Maldovan and E. Thomas, Appl. Phys. Lett. 88, 251907 (2006).
http://dx.doi.org/10.1063/1.2216885
50.
50.A. Akimov, Y. Tanaka, A. Pevtsov, S. Kaplan, V. Golubev, S. Tamura, D. Yakovlev, and M. Bayer, Phys. Rev. Lett. 101, 33902 (2008).
http://dx.doi.org/10.1103/PhysRevLett.101.033902
51.
51.S. Sadat-Salch, S. Benchabane, F. Baida, M. Bernal, and V. Laude, J. Appl. Phys. 106, 074912 (2009).
http://dx.doi.org/10.1063/1.3243276
52.
52.N. Papanikolaou, I. Psarobas, and N. Stefanou, Appl. Phys. Lett. 96, 231917 (2010).
http://dx.doi.org/10.1063/1.3453448
53.
53.S. Mohammadi, A. Eftekhar, A. Khelif, and A. Adibi, Opt. Express 18, 9164 (2010).
http://dx.doi.org/10.1364/OE.18.009164
54.
54.Y. Pennec, B. Djafari-Rouhani, E. El. Boudouti, C. Li, Y. El Hassouani, J. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, Opt. Express 18, 14301 (2010).
http://dx.doi.org/10.1364/OE.18.014301
55.
55.D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, J. Appl. Phys. 109, 014507 (2011).
http://dx.doi.org/10.1063/1.3530682
56.
56.T. X. Ma, Y. S. Wang, and Ch. Zhang, Opt. Commun. 312, 68 (2014).
http://dx.doi.org/10.1016/j.optcom.2013.09.009
57.
57.Y. EI. Hassounai, C. Li, Y. Pennec, E. El. Boudouti, H. Larabi, A. Akjouj, O. BouMatar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari-Rouhani, Phys. Rev. B 82, 155405 (2010).
http://dx.doi.org/10.1103/PhysRevB.82.155405
58.
58.T. X. Ma, Y. S. Wang, Y. F. Wang, and X. X. Su, Opt. Express 21, 2727 (2013).
http://dx.doi.org/10.1364/OE.21.002727
59.
59.Y. F. Wang, Y. S. Wang, and X. X. Su, J. Appl. Phys. 110, 113520 (2011).
http://dx.doi.org/10.1063/1.3665205
60.
60.J. C. Hsu, J. Phys. D: Appl. Phys. 44, 055401 (2011).
http://dx.doi.org/10.1088/0022-3727/44/5/055401
http://aip.metastore.ingenta.com/content/aip/journal/adva/5/11/10.1063/1.4936640
Loading
/content/aip/journal/adva/5/11/10.1063/1.4936640
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/adva/5/11/10.1063/1.4936640
2015-11-23
2016-09-28

Abstract

In this paper we present a comprehensive study on the multi-objective optimization of two-dimensional porous phononic crystals (PnCs) in both square and triangular lattices with the reduced topology symmetry of the unit-cell. The fast non-dominated sorting-based genetic algorithm II is used to perform the optimization, and the Pareto-optimal solutions are obtained. The results demonstrate that the symmetry reduction significantly influences the optimized structures. The physical mechanism of the optimized structures is analyzed. Topologyoptimization combined with the symmetry reduction can discover new structures and offer new degrees of freedom to design PnC-based devices. Especially, the rotationally symmetrical structures presented here can be utilized to explore and design new chiral metamaterials.

Loading

Full text loading...

/deliver/fulltext/aip/journal/adva/5/11/1.4936640.html;jsessionid=17eyNtO76RMpJPnpkj577D6L.x-aip-live-06?itemId=/content/aip/journal/adva/5/11/10.1063/1.4936640&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/adva
true
true

Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
/content/realmedia?fmt=ahah&adPositionList=
&advertTargetUrl=//oascentral.aip.org/RealMedia/ads/&sitePageValue=aipadvances.aip.org/5/11/10.1063/1.4936640&pageURL=http://scitation.aip.org/content/aip/journal/adva/5/11/10.1063/1.4936640'
Right1,Right2,Right3,