Large Photonic Band Gap and Strong Attenuation of Multiconnected Sierpinski Network

References

• John , S. 1987 . Strong localization of photons in certain disordered dielectric superlattices . Phys. Rev. Lett. , 58 ( No. 23 ) : 2486 – 2489 .
   PubMedGoogle Scholar
• Yablonovitch , E. 1987 . Inhibited spontaneous emission in solid-state physics and electronics . Phys. Rev. Lett. , 58 ( No. 20 ) : 2059 – 2062 .
   PubMed Web of Science ®Google Scholar
• Noda , S. , Tomoda , K. , Yamamoto , N. and Chutinan , A. 2000 . Full three-dimensional photonic bandgap crystals at near-infrared wavelengths . Science , 289 ( No. 5479 ) : 604 – 606 .
   PubMedGoogle Scholar
• Guida , G. , Lustrac , A. and Priou , A. 2003 . An introduction to photonic band gap (PBG) materials . Progress In Electromagnetics Research , 41 : 1 – 20 .
   Google Scholar
• Ogawa , S. , Imada , M. , Yoshimoto , S. , Okano , M. and Noda , S. 2004 . Control of light emission by 3D photonic crystals . Science , 305 ( No. 5681 ) : 227 – 229 .
   PubMedGoogle Scholar
• El-Dahshory , M. A. , Attiya , A. M. and Hashish , E. A. 2007 . Design equations of two-dimensional dielectric photonic band gap structures . Progress In Electromagnetics Research , 74 : 319 – 340 .
   Google Scholar
• Golmohammadi , S. , Rouhani , Y. , Abbasian , K. and Rostami , A. 2009 . Photonic bandgaps in quasiperiodic multilayer structures using fourier transform of the refractive index profile . Progress In Electromagnetics Research B , 18 : 311 – 325 .
   Google Scholar
• Srivastava , S. K. and Ojha , S. P. 2009 . Enlarged photonic band gaps in one-dimensional magnetic star wave guide structure . Progress In Electromagnetics Research M , 9 : 21 – 34 .
   Google Scholar
• Aissaoui , M. , Zaghdoudi , J. , Kanzari , M. and Rezig , B. 2006 . Optical properties of the quasi-periodic one-dimensional generalized multilayer Fibonacci structures . Progress In Electromagnetics Research , 59 : 69 – 83 .
   Google Scholar
• André , J. M. and Jonnard , P. 2009 . Stokes reciprocity equations and density of modes for absorbing stratified media . J. Mod. Optic. , 56 ( No. 14 ) : 1562 – 1571 .
   Google Scholar
• Zhang , Z. Q. , Wong , C. C. , Fung , K. K. , Ho , Y. L. , Chan , W. L. , Kan , S. C. , Chan , T. L. and Cheung , N. 1998 . Observation of localized electromagnetic waves in three-dimensional networks of waveguides . Phys. Rev. Lett. , 81 ( No. 25 ) : 5540 – 5543 .
   Google Scholar
• Dobrzynski , L. , Akjouj , A. , Djafari-Rouhani , B. , Vasseur , J. O. and Zemmouri , J. 1998 . Giant gaps in photonic band structures . Phys. Rev. B , 57 ( No. 16 ) : R9388 – R9391 .
   Google Scholar
• Cheung , S. , Chan , T. , Zhang , Z. and Chan , C. T. 2004 . Large photonic band gaps in certain periodic and quasiperiodic networks in two and three dimensions . Phys. Rev. B , 70 ( No. 12 ) : 125104 – 1–125104–7 .
   Google Scholar
• Wang , Z. and Yang , X. 2007 . Strong attenuation within the photonic band gaps of multiconnected networks . Phys. Rev. B , 76 ( No. 23 ) : 235104 – 1–235104–7 .
   Google Scholar
• Song , H. and Yang , X. 2010 . Photonic band structures of quadrangular multiconnected networks . Chin. Phys. B , 19 ( No. 7 ) : 074213 – 1–074213–9 .
   Google Scholar
• Mir , A. , Akjouj , A. , Vasseur , J. O. , Djafari-Rouhani , B. , Fettouhi , N. , El Boudouti , E. H. , Dobrzynski , L. and Zemmouri , J. 2003 . Observation of large photonic band gaps and defect modes in onedimensional networked waveguidides . J. Phys. Condens. Matter , 15 ( No. 10 ) : 1593 – 1598 .
   Google Scholar
• Stoytchev , M. and Genack , A. Z. 1997 . Microwave transmission through a periodic three-dimensional metal-wire network containing random scatterers . Phys. Rev. B , 55 ( No. 14 ) : R8617 – R8621 .
   Google Scholar
• Bianucci , P. , Fietz , C. R. , Robertson , J. W. , Shvets , G. and Shih , C. 2008 . Observation of simultaneous fast and slow light . Phys. Rev. A , 77 ( No. 5 ) : 053816 – 1–053816–4 .
   Google Scholar
• Aközbek , N. and John , S. 1998 . Self-induced transparency solitary waves in a doped nonlinear photonic band gap material . Phys. Rev. E , 58 ( No. 3 ) : 3876 – 3895 .
   Google Scholar
• Qi , L. M. , Yang , Z. Q. , Gao , X. , Liu , W. X. and Liang , Z. 2008 . Research on three types of rhombus lattice photonic band structures . Journal of Electromagnetic Waves and Applications , 22 ( No. 8–9 ) : 1155 – 1164 .
   Google Scholar
• Gupta , S. K. and Vinoy , K. J. 2009 . A compact defected ground microstrip device with photonic bandgap effects . Journal of Electromagnetic Waves and Applications , 23 ( No. 2–3 ) : 255 – 266 .
   Google Scholar
• Archuleta-Garcia , R. , Moctezuma-Enriquez , D. and Manzanares-Martinez , J. 2010 . Enlargement of photonic band gap in porous silicon dielectirc mirrors . Journal of Electromagnetic Waves and Applications , 24 ( No. 2–3 ) : 351 – 361 .
   Google Scholar
• Banerjee , A. 2010 . Enhanced incidence angle based spectrum tuning by using one-dimensional ternary photonic band gap structures . Journal of Electromagnetic Waves and Applications , 24 ( No. 8–9 ) : 1023 – 1032 .
   Google Scholar
• Li , M. , Liu , Y. and Zhang , Z. Q. 2000 . Photonic band structure of Sierpinski waveguide networks . Phys. Rev. B , 61 ( No. 23 ) : 16193 – 16200 .
   Google Scholar
• Zhang , Z. Q. and Sheng , P. 1994 . Wave localization in random networks . Phys. Rev. B , 49 ( No. 1 ) : 83 – 89 .
   Google Scholar
• Robertson , W. M. , Pappafotis , J. , Flannigan , P. , Cathey , J. , Cathey , B. and Klaus , C. 2007 . Sound beyond the speed of light: Measurement of negative group velocity in an acoustic loop filter . Appl. Phys. Lett. , 90 ( No. 1 ) : 014102 – 1–014102–3 .
   Google Scholar