Modal Analysis and Waveguide Dispersion of an Optical Waveguide Having a cross-section of the Shape of a Cardioid

References

• Snitzer , E. 1961 . Cylindrical dielectric waveguides . J. Opt. Soc. Am. , 51 : 491 – 498 .
   Web of Science ®Google Scholar
• Snyder , A. W. and Mitchell , D. J. 1974 . Leaky rays on circular fibers . J. Opt. Soc. Am. , 64 : 599 – 607 .
   Web of Science ®Google Scholar
• Snyder , A. W. 1981 . Understanding of monomode optical fibers . Proc. IEEE , 69 : 6 – 13 .
   Web of Science ®Google Scholar
• Ghatak , A. and Sharma , A. 1986 . Single mode fiber characteristics . J. Inst. Electron. Telecommun. Eng. , 32 : 213 – 226 .
   Google Scholar
• Dyott , R. B. 1990 . Cutoff of the first order modes in elliptical dielectric waveguide: an experimental approach . Electron. Lett. , 26 : 1721 – 1723 .
   Web of Science ®Google Scholar
• Yeh , C. 1976 . Modes in weakly guiding elliptical optical fibers . Opt. Quantum Electron. , 8 : 43 – 47 .
   Web of Science ®Google Scholar
• Marcatili , E. A. J. 1969 . Dielectric rectangular waveguide and directional coupler for integrated optics . Bell Syst. Tech. J. , 48 : 2071 – 2102 .
   Google Scholar
• Goell , J. E. 1969 . A circular harmonic computer analysis of rectangular dielectric waveguides . Bell Syst. Tech. J. , 48 : 2133 – 2160 .
   Google Scholar
• Dyott , R. B. 1973 . Glass-fiber waveguide with triangular core . Electron. Lett. , 9 : 288 – 290 .
   Web of Science ®Google Scholar
• James , J. R. and Gallett , I. N. L. 1973 . Modal analysis of triangular cored fiber waveguide . Proc. IEEE , 120 : 1362 – 1370 .
   Google Scholar
• Singh , V. , Prasad , B. and Ojha , S. P . 2003 . Modal analysis and dispersion curves of an annular lightguide with a cross-section bounded by two Piet-Hein curves . J. Electromagnetic Waves and Applications , 17 : 1025 – 1036 .
   Web of Science ®Google Scholar
• Rao , M. P . S. , Prasad , B. , Khastgir , P. and Ojha , S. P . 1997 . Modal cutoff conditions for an optical waveguide with a hypocycloidal cross section . Microwave Opt. Technol. Lett. , 14 : 177 – 180 .
   Web of Science ®Google Scholar
• Joshi , M. , Singh , V. , Prasad , B. and Ojha , S. P . 2001 . An analytical study of the cutoff conditions and dispersion curves of an optical fiber with a core slightly flattened on one side . Microwave Opt. Technol. Lett. , 29 : 136 – 139 .
   Web of Science ®Google Scholar
• Singh , V. , Prasad , B. and Ojha , S. P . 2000 . Weak guidance modal analysis and dispersion curves of an infrared-lightguide having a core cross-section with a new type of asymmetric loop boundary . Optical Fiber Technology , 6 : 290 – 298 .
   Web of Science ®Google Scholar
• Sharan , P. 1998 . “ A study of lightwave propagation through fiber like waveguide with various type of symmetrical and lopsided crosssectional shapes of the core ” . Varanasi , , India : Department of Applied Physics, I.T. B.H.U . Ph.D. thesis
   Google Scholar
• Mishra , V. N. , Singh , V. , Prasad , B. and Ojha , S. P . 1999 . An analytical investigation of the dispersion characteristics of a lightguide with an annular core cross section bounded by two cardioids . Microwave Opt. Technol. Lett. , 23 : 221 – 224 .
   Web of Science ®Google Scholar
• Stern , M. S. 1988 . Semivectorial polarized finite difference method for optical waveguides with arbitrary index profile . IEE Proc. J. , 135 : 56 – 63 .
   Google Scholar
• Rahman , B. M. A. , Fernandez , F. A. and Da vies , J. B. 1991 . Review of finite element methods for microwave and optical waveguides . Proc. IEEE , 79 : 1442 – 1448 .
   Web of Science ®Google Scholar
• Kendall , P. C. , Mcllroy , P. W. A. and Stern , M. S. 1989 . Spectral index method for rib waveguide analysis . Electron. Lett. , 25 : 107 – 108 .
   Google Scholar
• Zhang , X. , Fang , J. , Mei , K. K. and Liu , Y. 1988 . Calculations of dispersive characteristics of microstrips by the time domain finite difference method . IEEE Trans. Microwave Theory Tech. , 36 : 263 – 267 .
   Web of Science ®Google Scholar
• Liu , P. L. , Yang , S. L. and Yuan , D. M. 1993 . The semi vectorial beam propagation method . IEEE J. Quantum Electron. , 29 : 1205 – 1221 .
   Web of Science ®Google Scholar
• Lui , W. W , Xu , C. L. , Huang , W. P. , Yokoyama , K. and Seke , S. 1999 . Full vector mode analysis with considerations of field singularities at corners of optical waveguides . J. Lightwave Technol. , 17 : 1509 – 1513 .
   Google Scholar
• Pinheiro , H. F. 2000 . “ Vectorial beam propagation method based on finite elements ” . Sao Paolo , , Brazil : UNICAMP . Ph.D. dissertation
   Google Scholar
• Riley , K. F. , Hobson , M. P. and Bence , S. T. 1998 . Mathematical Method for Physics and Engineering , 274 – 280 . Cambridge , , England : Cambridge University Press .
   Google Scholar
• Singh , V. , Joshi , M. , Prasad , B. and Ojha , S. P. 2004 . Modal dispersion characteristics and waveguide dispersion of an optical waveguide having a new unconventional core cross section . J. Electromagn. Waves andAppl. , 18 : 455 – 468 .
   Web of Science ®Google Scholar
• Ghatak , A. and Thyagarajan , K. 1998 . Introduction to Fiber Optics , Cambridge , , England : Cambridge University Press .
   Google Scholar
• Adams , M. J. 1981 . An introduction to Optical Waveguides , 233 – 239 . Chichester : John Wiley .
   Google Scholar