Computation of Electromagnetic Fields in Axisymmetric Rf Structures With Boundary Integral Equations

References

• Murray , F. H. 1931 . Conductors in an electromagnetic field . Am. J. Math , 53 : 275 – 288 .
   Google Scholar
• Maue , A. W. 1949 . On the formulation of a general diffraction problem by means of an integral equation . Z. Phys , 126 : 601 – 618 .
   Google Scholar
• Mautz , J. R. and Harrington , R. F. 1978 . H-field, E-field and combinedfield solutions for conducting bodies of revolution . Arch. Elektron. Übertragungstechn. (Electron. Commun.) , 32 : 157 – 164 .
   Google Scholar
• Rao , S. M. , Wilton , D. R. and Glisson , A. W. 1982 . Electromagnetic scattering by surfaces of arbitrary shape . IEEE Trans. Antennas and Propagat. , AP-30 : 409 – 418 .
   Web of Science ®Google Scholar
• Ingber , M. S. and Ott , R. H. 1991 . An application of the boundary element method to the magnetic field integral equation . IEEE Trans. Antennas and Propagat. , 39 : 606 – 611 .
   Web of Science ®Google Scholar
• Mautz , J. R. and Harrington , R. F. 1979 . Electromagnetic scattering from a homogeneous material body of revolution . Arch. Elektron. Übertragungstechn. (Electron. Commun.) , 33 : 71 – 80 .
   Google Scholar
• Umashankar , K. , Taflove , A. and Rao , S. A. 1986 . Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects . IEEE Trans. Antennas and Propagat. , AP-34 : 758 – 766 .
   Web of Science ®Google Scholar
• Medgyesi-Mitschang , L. N. and Putnam , J. M. 1984 . Electromagnetic scattering from axially inhomogeneous bodies of revolution . IEEE Trans. Antennas and Propagat. , AP-32 : 797 – 806 .
   Web of Science ®Google Scholar
• Huddleston , P. L. , Medgyesi-Mitschang , L. N. and Putnam , J. M. 1986 . Combined field integral equation formulation for scattering by dielectrically coated conducting bodies . IEEE Trans. Antennas and Propagat. , AP-34 : 510 – 520 .
   Web of Science ®Google Scholar
• Kishk , A. A. and Shafai , L. 1986 . Different formulations for numerical solution of single or multibodies of revolution with mixed boundary conditions . IEEE Trans. Antennas and Propagat. , AP- 34 : 666 – 673 .
   Web of Science ®Google Scholar
• Brebbia , C. A. , ed. 1989 . “ Topics in Boundary Element Research ” . In Electromagnetic Applications , Vol. 6 , New York : Springer-Verlag .
   Google Scholar
• Morita , N. , Kumagai , N. and Mautz , J. R. 1990 . Integral Equation Methods for Electromagnetics , London : Artech House .
   Google Scholar
• Kagami , S. and Fukai , I. 1984 . Application of boundary-element method to electromagnetic field problems . IEEE Trans. Microwave Theory and Techniques , MTT-32 : 455 – 461 .
   Web of Science ®Google Scholar
• Koshiba , M. and Suzuki , M. 1986 . Application of the boundaryelement method to waveguide discontinuities . IEEE Trans. Microwave Theory and Techniques , MTT-34 : 301 – 307 .
   Web of Science ®Google Scholar
• Omar , A. S. and Schunemann , K. 1986 . Scattering by material and conducting bodies inside waveguides, part I: theoretical formulations . IEEE Trans. Microwave Theory and Techniques , MTT- 34 : 266 – 272 .
   Web of Science ®Google Scholar
• Yuan , X. , Lynch , D. R. and Strohbehn , J. W. 1990 . Coupling of finite element and moment methods for electromagnetic scattering from inhomogeneous objects . IEEE Trans. Antennas and Propagat. , 38 : 386 – 393 .
   Web of Science ®Google Scholar
• Angelini , J-J. , Soize , C. and Soudais , P. 1993 . Hybrid numerical method for harmonic 3-D Maxwell equations: scattering by a mixed conducting and inhomogeneous anisotropic dielectric medium . IEEE Trans. Antennas and Propagat. , 41 : 66 – 76 .
   Web of Science ®Google Scholar
• Eibert , T. and Hansen , V. 1996 . Calculation of unbounded field problems in free space by a 3D FEM/BEM-hybrid approach . Journal of Electromagnetic Waves and Applications , 10 : 61 – 78 .
   Web of Science ®Google Scholar
• Somersalo , E. , Yla-Oijala , P. , Proch , D. and Sarvas , J. 1998 . Computational methods for analyzing electron multipacting in rf structures . Particle Accelerators , 59 : 107 – 141 .
   Google Scholar
• Mitrea , M. 1995 . The method of layer potentials in electromagnetic scattering theory on nonsmooth domains . Duke Mathematical Journal , 77 : 111 – 133 .
   Web of Science ®Google Scholar
• Mitrea , D. , Mitrea , M. and Pipher , J. 1997 . Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering . The Journal of Fourier Analysis and Applications , 3 : 131 – 192 .
   Web of Science ®Google Scholar
• Stratton , J. A. and Chu , L. J. 1939 . Diffraction theory of electromagnetic waves . Physical Review , 56 : 99 – 107 .
   Google Scholar
• Colton , D. and Kress , R. 1983 . Integral Equation Methods in Scatterircg Theory , New York : John Wiley & Sons .
   Google Scholar
• Colton , D. and Kress , R. 1992 . “ Inverse Acoustic and Electromagnetic Scattering Theory ” . In Applied Mathematical Sciences 93 , Berlin Heidelberg : Springer-Verlag .
   Google Scholar
• Harrington , R. F. 1989 . Boundary integral formulations for homogeneous material bodies . Journal of Electromagnetic Waves and Applications , 3 : 1 – 15 .
   Web of Science ®Google Scholar
• Martin , P. A. and Ola , P. 1993 . Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle . Proc. of the Royal Society of Edinburgh , 123A : 185 – 208 .
   Google Scholar
• Ylä-Oijala , P. Comparison of boundary integral formulations for electromagnetic field computation in axisymmetric resonators . IEEE Trans. Microwave Theory and Techniques. ,
   Google Scholar
• Harrington , R. F. 1968 . Field Computation by Moment Methods , New York : Macmillan .
   Google Scholar
• Kress , R. 1989 . Linear Integral Equations, Applied Mathematical Sciences 82 , Berlin Heidelberg : Springer-Verlag .
   Google Scholar
• Stoer , J. and Bulirsch , R. 1993 . Introduction to Numerical Analysis , Second ed. , New York : Springer-Verlag .
   Google Scholar
• Yla-Oijala , P. 1998 . “ Application of the boundary integral equation method to interior boundary-value problems for Maxwell's equations ” . In Licentiate's Dissertation , Research Reports C29 Rolf Nevanlinna Institute .
   Google Scholar
• Sekutowicz , J. 2D FEM code with third order approximation for RF cavity computation . Proc. of Linear Accelerators Conference in Tsukuba . Japan
   Google Scholar
• Makio , H. 1997 . “ A finite volume element method for electromagnetic field computations of RF-resonators ” . In Pitman Research Notes in Mathematics: Integral Methods in Science and Engineering , Vol. 2 , Longman . Approximation Methods
   Google Scholar
• Van Bladel , J. 1985 . Field singularities at metal-dielectric wedges . IEEE Trans. Antennas and Propagat. , AP-33 : 450 – 455 .
   Web of Science ®Google Scholar
• Magnus , W. , Oberhettinger , F. and Soni , R. P. 1966 . Formulas and Theorems for the Special Functions of Mathematical Physics , 3rd edition , Berlin : Springer Verlag .
   Google Scholar
• Abramowitz , M. and Stegun , I. 1970 . Handbook of Mathematical Functions , New York : Dover Publications .
   Google Scholar
• Golub , G. H. and Welsch , J. H. 1969 . Calculation of Gauss quadrature rules . Math. Comput. , 23 : 221 – 230 .
   Web of Science ®Google Scholar
• Gautschi , W. 1970 . On the construction of Gaussian quadrature rules from modified moments . Math. Comput. , 24 : 245 – 260 .
   Web of Science ®Google Scholar