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WAVES AND VIBRATIONS IN INHOMOGENEOUS STRUCTURES ...

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Phoononic band-gap optimization<br />

Cox, S. J. & Dobson, D. C. 1999 Maximizing band gaps in two-dimensional photonic crystals.<br />

SIAM J. Appl. Math. 59, 2108-2120.<br />

Cox, S. J. & Dobson, D. C. 2000 Band structure optimization of two-dimensional photonic<br />

crystals in H-polarization. J. Computat. Phys. 158, 214-224.<br />

Elachi, C. 1976 Waves in active and passive periodic structures: a review. Proc. IEEE 64,<br />

1666-1698.<br />

Joannopoulos, J. D., Meade, R. D. & Winn, J. N. 1995 Photonic crystals. Princeton, NJ: Prince-<br />

ton University Press.<br />

Kittel, C. 1986 Solid state physics. Wiley.<br />

Krenk, S. 2002 Unified formulation of radiation conditions for the wave equation. Int. J. Numer.<br />

Meth. Engng 53, 275-295.<br />

Kushwaha, M. S. 1996 Classical band structure of periodic elastic composites. Int. J. Mod. Phys.<br />

B 10, 977-1094.<br />

Liu, Z., Zhang, X., Mao, Y., Zhu, Y., Yang, Z., Chan, C. & Sheng, P. 2000 Locally resonant<br />

sonic materials. Science 289, 1734-1736.<br />

Mathews, J. & Walker, R. 1964 Mathematical methods of physics. Addison-Wesley.<br />

Seyranian, A. P., Lund, E. & Olhoff, N. 1994 Multiple eigenvalues in structural optimization<br />

problems. Struct. Optimiz. 8, 207-227.<br />

Sigalas, M. & Economou, E. 1992 Elastic and acoustic wave band structure. J. Sound Vib. 158,<br />

377-382.<br />

Sigmund, 0. 1997 On the design of compliant mechanisms using topology optimization. Mech.<br />

Struct. Mach. 25, 493-524.<br />

Sigmund, O. 2001a Design of multiphysics actuators using topology optimization. I. Onematerial<br />

structures. Comput. Meth. Appl. Mech. Engng 190, 6577-6604.<br />

Sigmund, O. 2001b Design of multiphysics actuators using topology optimization. II. Twomaterial<br />

structures. Comput. Meth. Appl. Mech. Engng 190, 6605-6627.<br />

Sigmund, O. 2001c Microstructural design of elastic band gap structures. In WCSMO-4, Proc.<br />

2nd World Cong. Structural and Multidisciplinary Optimization, Dalian, China. Liaoning,<br />

China: Liaoning Electronic Press. (On CD-ROM.)<br />

Sigmund, O. & Jensen, J. S. 2002 Topology optimization of phononic band gap materials<br />

and structures. In Proc. 5th World Congress on Computational Mechanics, Vienna, Austria<br />

(ed. H. A. Mang, F. G. Rammerstorfer and J. Eberhardsteiner). (http://wccm.tuwien.ac.at.)<br />

Vienna University of Technology.<br />

Sigmund, O. & Torquato, S. 1997 Design of materials with extreme thermal expansion using a<br />

three-phase topology optimization method. J. Mech. Phys. Solids 45, 1037-1067.<br />

Svanberg, K. 1987 The method of moving asymptotes: a new method for structural optimization.<br />

Int. J. Numer. Meth. Engng 24, 359-373.<br />

Svanberg, K. 1998 The method of moving asymptotes: modelling aspects and solution schemes.<br />

In Advanced Topics in Structural Optimization, Report S81. Danish Center for Applied Mathematics<br />

and Mechanics.<br />

Vasseur, J., Deymier, P., Frantziskonis, G., Hong, G., Djafari-Rouhani, B. & Dobrzynski, L. 1998<br />

Experimental evidence for the existence of absolute acoustic band gaps in two-dimensional<br />

periodic composite media. J. Phys. Condens. Matter 10, 6051-6064.<br />

Yablonovitch, E. 2001 Photonic crystals: semiconductors of light. Scient. Am. 285, 34-41.<br />

Phil. Trans. R. Soc. Lond. A (2003)<br />

1019

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