Modal Transmission-Line Theory of Optical Waveguides

References

• Knight , J. C. , Birks , T. A. , Russell , P. St. J. and Atkin , D. M. 1996 . Allsilica single-mode optical fiber with photonic crystal cladding . Opt. Lett. , 21 : 1547 – 1549 .
   PubMed Web of Science ®Google Scholar
• Knight , J. C. 2003 . Photonic crystal fibers . Nature , 424 : 847 – 851 .
   PubMed Web of Science ®Google Scholar
• Stern , M. S. 1988 . Semivectorial polarized finite difference method for optical waveguides with arbitrary index profiles . IEE Proc. Opt. , 135 : 56 – 63 .
   Google Scholar
• Stern , M. 1995 . Finite-difference analysis of planar optical waveguides . Progress in Electromagnetic Research , : 123 – 186 . PIER 10
   Google Scholar
• Hadley , G. R. and Smith , R. E. 1995 . Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions . J. Lightwave Technol. , 13 : 465 – 469 .
   Web of Science ®Google Scholar
• Guenneau , S. , Nicolet , A. , Zolla , F. and Lasquellec , S. 2002 . Numerical and theoretical study of photonic crystal fibers . Progress in Electromagnetic Research , : 271 – 305 . PIER 37
   Google Scholar
• Brechet , F. , Maracou , J. , Pagnoux , D. and Roy , P. 2000 . Complete analysis of the characteristics of propagation into photonic crystal fibers by the finite element method . Optical Fiber Technol. , 6 : 181 – 191 .
   Web of Science ®Google Scholar
• Huang , W. P. , Xu , C. L. and Chaudhuri , S. K. 1992 . A finite-difference vector beam propagation method for three-dimensional waveguide structures . IEEE Photon. Technol. Lett. , 4 : 148 – 151 .
   Google Scholar
• Huang , W. P. , Xu , C. L. , Chu , S. T. and Chaudhuri , S. K. 1992 . The finite difference vector beam propagation method: Analysis and assessment . J. Lightwave Technol. , 10 : 295 – 305 .
   Web of Science ®Google Scholar
• Xu , C. L. , Huang , W. P. and Chaudhuri , S. K. 1993 . Efficient and accurate vector mode calculations by beam propagation method . J. Lightwave Technol. , 11 : 1209 – 1215 .
   Web of Science ®Google Scholar
• Huang , W. P. and Xu , C. L. 1993 . Simulation of three-dimensional optical waveguides by a full-vector beam propagation method . IEEE J. Quantum Electronics , 29 : 2639 – 2649 .
   Web of Science ®Google Scholar
• Saitoh , K. and Koshiba , M. 2002 . Full-vectorial imaginary-distance beam propagation method based on a finite element scheme: application to photonic crystal fibers . IEEE J. Quantum Electronics , 38 : 927 – 933 .
   Web of Science ®Google Scholar
• Guan , N. , Habu , S. , Takenaga , K. , Himeno , K. and Wada , A. 2003 . Boundary element method for analysis of holey optical fibers . J. Lightwave Technol. , 21 : 1787 – 1792 .
   Google Scholar
• Steel , M. J. , White , T. P. , de Sterke , C. M. , McPhedran , R. C. and Botten , L. C. 2001 . Symmetry and degeneracy in microstructured optical fibers . Opt. Lett. , 26 : 488 – 490 .
   PubMed Web of Science ®Google Scholar
• Ferrando , A. , Silvestre , E. , Miret , J. J. , Andrès , P. and Andrès , M. V. 1999 . Full-vector analysis of a realistic photonic crystal fiber . Opt. Lett. , 24 : 276 – 278 .
   PubMed Web of Science ®Google Scholar
• Ferrando , A. , Silvestre , E. , Miret , J. J. , Andrès , P. and Andrès , M. V. 2000 . Vector description of higher-order modes in photonic crystal fibers . J. Opt. Soc. Am. A , 14 : 1333 – 1340 .
   Google Scholar
• Mogilevtsev , D. , Birks , T. A. and Russell , P. St. J. 1999 . Localized function method for modeling defect modes in 2-D photonic crystals . J. Lightwave Technol. , 17 : 2078 – 2081 .
   Web of Science ®Google Scholar
• Monro , T. M. , Richardson , D. J. , Broderick , N. G. R. and Bennett , P. J. 2000 . Modeling large air fraction holey optical fibers . J. Lightwave Technol. , 18 : 50 – 56 .
   Google Scholar
• Knight , J. C. , Birks , T. A. and Russell , P. St. J. 1998 . Properties of photonic crystal fibers and the effective index model . J. Opt. Soc. Am. A , 15 : 748 – 752 .
   Google Scholar
• Tamir , T. and Zhang , S. 1996 . Modal transmission-line theory of multilayered grating structures . J. Lightwave Technol. , 14 : 914 – 927 .
   Web of Science ®Google Scholar
• Akbari , M. , Shahabadi , M. and Schünemann , K. 1999 . A rigorous two-dimensional field analysis of DFB structures . Progress In Electromagnetic Research , : 197 – 212 . PIER 22
   Google Scholar
• Akbari , M. , Schüunemann , K. and Burkhard , H. 2000 . A full-wave three-dimensional analysis of open dielectric waveguides and periodic structures using an equivalent network model . Optical and Quantum Electronics , 32 : 991 – 1004 .
   Google Scholar
• Lin , C. H. , Leung , K. M. and Tamir , T. 2002 . Modal transmission-line theory of three-dimensional periodic structure with arbitrary lattice configurations . J. Opt. Soc. Am. A , 19 : 2005 – 2017 .
   Google Scholar
• Faria , J. A. B. 1993 . Multiconductor Transmission-Line Structures-Modal Analysis Techniques , John Wiley & Sons, Inc .
   Google Scholar
• Desoer , C. A. and Kuh , E. S. 1969 . Basic Circuit Theory , McGraw-Hill . Ch. 14
   Google Scholar
• Loncar , M. , Nedeljkovic , D. , Doll , T. , Vuckovic , J. , Scherer , A. and Pearsall , T. P. 2000 . Waveguiding in planar photonic crystals . Applied Phys. Lett. , 77 : 1937 – 1939 .
   Web of Science ®Google Scholar
• Moosburger , J. , Kamp , M. , Forchel , A. , Oesterle , U. and Houdre , R. 2002 . Transmission spectroscopy of photonic crystal based waveguides with resonant cavities . J. Applied Phys. , 91 : 4791 – 4794 .
   Google Scholar
• Silvestre , E. , Russel , P. . St. J. , Birks , T. A. and Knight , J. C. 1998 . Analysis and design of an endlessly single-mode finned dielectric waveguide . J. Opt. Soc. Am. A , 15 : 3067 – 3075 .
   Google Scholar
• Johnson , S. G. , Fan , S. , Villeneuve , P. R. , Joannopoulos , J. D. and Kolodziejski , L. A. 1999 . Guided modes in photonic crystal slabs . Phys. Rev. B. , 60 : 5751 – 5758 .
   Web of Science ®Google Scholar
• Chew , W. C. 1995 . Waves and Fields in Inhomogeneous Media , IEEE Press . Ch. 2
   Google Scholar
• Li , L. 1997 . New formulation of the Fourier modal method for crossed surface-relief gratings . J. Opt. Soc. Am. A , 14 : 2758 – 2767 .
   Google Scholar
• Guobina , R. , Zhia , W. , Shuqina , L. , Yana , L. and Shuishenga , J. 2004 . “ Full-vectorial analysis of complex refractive-index photonic crystal fibers ” . In Optics Express Vol. 12 , 1126 – 1135 . http://www.opticsexpress.org/abstract.cfm?URI/OPEX-12–6-1126
   Google Scholar
• Birks , T. A. , Knight , J. C. and Russel , P. St. J. 1997 . Endlessly single-mode photonic crystal fiber . Opt. Lett. , 22 : 961 – 9631 .
   PubMed Web of Science ®Google Scholar
• Knight , J. C. , Birks , T. A. , Cregan , R. F. , Russell , P. St. J. and de Sandro , J. P. 1999 . Photonic crystals as optical fibres — Physics and applications . Optical Materials , 11 : 143 – 151 .
   Google Scholar
• Hwang , I. K. , Lee , Y. J. and Lee , Y. H. 2003 . “ Birefringence induced by irregular structure in photonic crystal fiber ” . In Optics Express Vol. 11 , 2799 – 2806 . http://www. opticsexpress.org/abstract.cfm?URI/OPEX-11–22–2799
   Google Scholar
• Forchel , A. , Bayer , M. , Reithmaier , J. P. , Reinecke , T. L. and Kulakovskii , V. D. 2000 . Semiconductor photonic molecules . Physica E , 7 : 616 – 624 .
   Google Scholar