Design of Inhomogeneous Slabs for Filtering Applications Via Closed Form Solutions of the Reflection Coefficient

References

• Kim , C. and Chung , M. 1997 . Eigenvalue equations of N-parallel graded-index waveguides: WKB analysis . IEEE J. Quantum Electron. , 33 ( No. 9 ) Sept. : 1608 – 1613 .
   Google Scholar
• Mills , D. W. and Tamil , L. S. 1991 . A new approach to the design of graded-index guided wave devices . IEEE Microwave Guided Wave Lett. , 1 ( No. 4 ) Apr. : 87 – 89 .
   Google Scholar
• Donnelly , J. P. and Lau , S. D. 1996 . Generalized effective index series solution analysis of waveguide structures with positionally varying Refractive Index Profiles . IEEE J. Quantum Electron. , 32 ( No. 6 ) Jun. : 1070 – 1079 .
   Google Scholar
• Chiang , K. S. , Wong , C. L. , Chan , H. P. and Chow , Y. T. 1996 . Refractive-index profiling of graded-index planar waveguides from effective indexes measured for both mode types and at different wavelengths . J. Lightwave Techonol. , 14 ( No. 5 ) May : 827 – 832 .
   Google Scholar
• Li , J. and Weisshaar , A. 1996 . Generalised impedance boundary method of moments for multilayer graded-index dielectric waveguide structures . IEE Proc.-Optoelectron. , 143 ( No. 3 ) Jun. : 167 – 172 .
   Google Scholar
• Ghausi , M. S. and Kelly , J. J. 1968 . Introduction to Distributed-Parameter Networks , New York : Holt, Rinehart & Winston .
   Google Scholar
• Offsey , S. D. , Schaff , W. J. , Tasker , P. J. and Eastman , L. F. 1990 . Optical and microwave performance of GaAs-AlGaAs and strained-layer InGaAs-GaAs-AlGaAs graded index separate confinement heterostructure single quantum well lasers . IEEE Photon. Tech. Lett. , 2 : 9 – 11 .
   Google Scholar
• Schaumann , R. and Belal , A. A. R. 1972 . On the synthesis of rational RC driving-point functions with distributed networks . Arch. Elek. Ubertragung. , 26 : 349 – 354 .
   Google Scholar
• Marril , W. M. , Diaz , R. E. , LoRe , M. M. , Squives , M. C. and Alexopoulos , N. 1999 . Effective medium theories for artificial materials composed of multiple sizes of spherical inclusions in a host continuum . IEEE Trans. Antennas Propagat. , 47 ( No. 1 ) Jan. : 142 – 148 .
   Google Scholar
• Diaz , R. E. Sept. 13-17 1999 . “ From water — fat emulsions to radar cross section control: A historical perspective on the engineered artificial material ” . In Proc. of the ICEAA99 , Sept. 13-17 , 31 – 34 . Italy : Torino .
   Google Scholar
• Bush , G. G. 1992 . On the electromagnetic constitutive parameters of artificial magnetodielectric (AMD) materials . J. Electromagn. Waves Applicat. , 6 ( No. 9 ) : 1133 – 1142 .
   Google Scholar
• Looyenga , H. 1965 . Dielectric constants of heterogeneous mixtures . Physica , 31 : 401 – 106 .
   Google Scholar
• Landau , L. D. and Lifschitz , E. M. 1984 . Electrodynamic of Continuous Media , 2nd ed. , New York : Pergamon .
   Google Scholar
• . Lee , W. and Wang , S. 1995 . Guided-wave characteristics of optical graded-index planar waveguides with metal cladding: a simple analysis method . J. Lightwave Technol. , 13 ( No. 3 ) Mar. : 416 – 421 .
   Google Scholar
• Weisshaar , A. and Tripathi , V. K. 1992 . Modal analysis of step discontinuities in graded-index dielectric slab waveguides . J. Lightwave Technol. , 10 ( No. 5 ) May : 593 – 602 .
   Google Scholar
• Gallagher , D. F. G. 1992 . Series solution to arbitrary profile 1- D waveguide and quantum well problems . IEEE J. Quantum Electron. , 28 ( No. 8 ) Aug. : 1785 – 1791 .
   Google Scholar
• Pregla , R. and Pascher , W. 1989 . “ The method of lines ” . In Numerical Techniques for Microwave and Millimeter-Wave Passive Structures , Edited by: Itoh , T. New York : Wiley .
   Google Scholar
• Dreher , A. and Pregla , R. 1991 . Analysis of planar waveguides with the method of lines and absorbing boundary conditions . IEEE Microwave Guided Wave Lett. , 1 ( No. 6 ) Jun. : 138 – 140 .
   Google Scholar
• Scott , H. J. 1953 . The hyperbolic transmission line as a matching line . Proc. of the IRE , 41 Nov. : 1654 – 1657 .
   Google Scholar
• Kong , J. A. 1978 . Electromagnetic Wave Theory , New York : Wiley .
   Google Scholar
• Abramowitz , M. and Stegun , I. A. 1970 . Handbook of Mathematical Functions , 9th. ed. , New York : Dover Publication, Inc .
   Google Scholar