Acoustical wave phenomena enhanced trransmission, guiding, attenuation and focusing

• Autores: Johan Christensen
• Directores de la Tesis: Francisco J. García Vidal (dir. tes.)
• Lectura: En la Universidad Autónoma de Madrid ( España ) en 2010
• Idioma: inglés
• Tribunal Calificador de la Tesis: Carlos Tejedor (presid.), Pedro L. de Andrés Rodríguez (secret.), Juan Antonio Porto Ortega (voc.), José Sánchez-Dehesa Moreno-Cid (voc.), Francisco Javier García de Abajo (voc.), Mario Sorolla Ayza (voc.)
• Materias:
  • Física
• Enlaces
  • Tesis en acceso abierto en: Biblos-e Archivo
• Resumen

  • Contents 1 Introduction 1 1.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3 Problem Statements . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2 Enhanced acoustical transmission and basics 16 2.1 Air-borne sound . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2 Structure-borne sound . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.3 Mode matching technique . . . . . . . . . . . . . . . . . . . . . . . . 19 2.4 Transmission through a single slit . . . . . . . . . . . . . . . . . . . . 27 2.5 Transmission through a single hole . . . . . . . . . . . . . . . . . . . 33 2.6 Transmission through a slit array . . . . . . . . . . . . . . . . . . . . 36 2.7 Transmission through a hole array . . . . . . . . . . . . . . . . . . . . 45 2.8 Transmission through a single slit surrounded by corrugations . . . . 55 2.9 Direct comparison to the optical counterpart . . . . . . . . . . . . . . 65 2.10 Summary and future work . . . . . . . . . . . . . . . . . . . . . . . . 66 3 Con¯ning acoustic surface waves along a wire 68 3.1 Theoretical description of a corrugated metawire . . . . . . . . . . . . 69 3.2 Geometrically tunable surface states . . . . . . . . . . . . . . . . . . 75 3.3 Applying the slowing e®ect for superfocusing sound . . . . . . . . . . 78 xiii 3.4 Con¯ning light along a corrugated perfect conducting wire . . . . . . 80 3.5 Conclusion and further directions . . . . . . . . . . . . . . . . . . . . 82 4 A holey structured metamaterial for acoustic deep subwavelength imaging 83 4.1 Theoretical development . . . . . . . . . . . . . . . . . . . . . . . . . 84 4.2 Subwavelength imaging by means of a slit array and a hole array . . . 91 4.3 Experimental veri¯cation . . . . . . . . . . . . . . . . . . . . . . . . . 98 4.4 Summary and outlook . . . . . . . . . . . . . . . . . . . . . . . . . . 103 5 Broadband all-angle blockage of sound by a double-¯shnet struc- ture 105 5.1 Modal expanding the acoustic double-¯shnet structure . . . . . . . . 107 5.2 Transmission study . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 5.3 Negative e®ective bulk modulus and its angular sensitivity . . . . . . 115 5.4 Fano resonance interpretation . . . . . . . . . . . . . . . . . . . . . . 120 5.5 Conclusion and future work . . . . . . . . . . . . . . . . . . . . . . . 122 6 Conclusion 124 6.1 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 6.2 List of Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 A 131 A.1 Overlap functions for a slit array . . . . . . . . . . . . . . . . . . . . 131 A.2 Overlap functions for a hole array . . . . . . . . . . . . . . . . . . . . 132 A.3 Overlap and Greens functions for isolated apertures containing inden- tations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 A.4 Expansion coe±cients . . . . . . . . . . . . . . . . . . . . . . . . . . 133 B 134 xiv B.1 Transmission coe±cient for a holey metamaterial . . . . . . . . . . . 134