Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
C. E. Baum: “Interaction of Electromagnetic Fields with an Object which Has an Electromagnetic Symmetry Plane”, Interaction Note 63, March 1971
C. E. Baum: “On the Singularity Expansion Method for the Solution of Electromagnetic Interaction Problems”, Interaction Note 88, Dec. 1971
L. Marin, R. W. Latham: “Analytical Properties of the Field Scattered by a Perfectly Conducting, Finite Body”, Interaction Note 92, Jan. 1972; also
L. Marin, R. W. Latham: Proc. IEEE 60, 640 (1972)
L. Marin: IEEE Trans. Ap-2l, 809 (1973)
L. Marin: “Natural-Mode Representation of Transient Scattering from Rotationally Symmetric, Perfectly Conducting Bodies and Numerical Results for a Prolate Spheroid”, Interaction Note 119, Sept.1972; also
L. Marin: IEEE Trans. AP-22, 266 (1974)
F. M. Tesche: “On the Singularity Expansion Method as Applied to Electromagnetic Scattering from Thin Wires”, Interaction Note 102, April 1972; also
F. M. Tesche: IEEE Trans. AP-21, 53 (1973)
J.P. Martinez, Z. L. Pine, F. M. Tesche: “Numerical Results of the Singularity Expansion Method as Applied to a Plane Wave Incident on a Perfectly Conducting Sphere”, Interaction Note 112, May 1972
L. Marin: “Application of the Singularity Expansion Method to Scattering from Imperfectly Conducting Bodies and Perfectly Conducting Bodies Within a Parallel Plate Region”, Interaction Note 116, June 1972
S. W. Lee, B. Leung: “The Natural Resonance Frequency of a Thin Cylinder and Its Application to EMP Studies”, Interaction Note 96, Feb. 1972
C. E. Baum: “On the Singularity Expansion Method for the Case of First Order Poles”, Interaction Note 129, Oct. 1972
C. D. Taylor, T. T. Crow, K. T. Chen: “On the Singularity Expansion Method Applied to Aperture Penetration: Part 1, Theory”, Interaction Note 134, May 1973
P. R. Barnes: “On the Singularity Expansion Method as Applied to the EMP Analysis and Simulation of the Cylindrical Dipole Antenna”, Interaction Note 146, Nov. 1973
F. M. Tesche: “Numerical Considerations for the Calculation of Currents Induced on Intersecting Wires Using the Pocklington Integro-Differential Equation”, Interaction Note 150. Jan. 1974
D. R. Wilton, K. R. Umashankar: “Parametric Study of an L-Shaped Wire Using the Singularity Expansion Method”, Interaction Note 152, Nov. 1973
P. R. Barnes, D. B. Nelson: “Transient Response of Low Frequency Vertical Antennas to High Altitude Nuclear Electromagnetic Pulse (EMP)”, Interaction Note 160, March 1974
T. T. Crow, B. D. Graves, C. D. Taylor: “The Singularity Expansion Method as Applied to Perpendicular Crossed Cylinders in Free Space”, Interaction Note 161, Oct. 1973
K. R. Umashankar, D. R. Wilton: “Analysis of an L-Shaped Wire Over a Conducting Ground Plane Using the Singularity Expansion Method”, Interaction Note 174, March 1974
R. J. Garbacz: “A Generalized Expansion for Radiated and Scattered Fields”, Interaction Note 180, 1968 (PhD dissertation, Ohio State University)
R. H. Turpin: “Basis Transformation, Least Square, and Characteristic Mode Techniques for Thin-Wire Scattering Analysis”, Interaction Note 181, 1970 (PhD dissertation, Ohio State University); also
R. J. Garbacz, R. H. Turpin: IEEE Trans. AP-19, 348 (1971)
L. Marin: “Natural Modes of Certain Thin-Wire Structures”, Interaction Note 186, Aug. 1974
R. F. Harrington, J. R. Mautz: “Theory and Computation of Characteristic Modes for Conducting Bodies”, Interaction Note 195, Dec. 1970; also
R. F. Harrington, J. R. Mautz: IEEE Trans. AP-19, 622, 629 (1971)
C. E. Baum: “On the Eigenmode Expansion Method for Electromagnetic Scattering and Antenna Problems, Part I: Some Basic Relations for Eigenmode Expansions and Their Relation to the Singularity Expansion”, Interaction Note 229, January 1975
R. H. Shafer, R. G. Kouyoumjian: “Transient Currents on a Cylinder Illuminated by an Impulsive Plane Wave”, Interaction Note to be published and IEE Trans. AP to appear
L. Marin: “Transient Electromagnetic Properties of Two Parallel Wires”, Sensor and Simulation Note 173, March 1973
L. Marin: “Natural Modes of Two Collinear Cylinders”, Sensor and Simulation Note 176, May 1973
F. M. Tesche: “Application of the Singularity Expansion Method to the Analysis of Impedance Loaded Linear Antennas”, Sensor and Simulation Note 177, May 1973
C. E. Baum: “Singularity Expansion of Electromagnetic Fields and Potentials Radiated from Antennas or Scattered from Objects in Free Space”, Sensor and Simulation Note 179, May 1973
T. H. Shumpert: “EMP Interaction with a Thin Cylinder above a Ground Plane Using the Singularity Expansion Method”, Sensor and Simulation Note 182, June 1973
K. S. H. Lee, L. Marin: “SGEMP for Resonant Structures”, Theoretical Note 199, Sept. 1974
T. T. Crow, B. D. Graves, C. D. Taylor: “Numerical Techniques Useful in the Singularity Expansion Method as Applied to Electromagnetic Interaction Problems”, Mathematics Note 27, Dec. 1972
C. E. Baum: “Electromagnetic Reciprocity and Energy Theorems for Free Space Including Sources Generalized to Numerous Theorems, to Combined Fields, and to Complex Frequency Domain”, Mathematics Note 33, Dec. 1973
C. E. Baum: “On the Use of Contour Integration for Finding Poles, Zeros, Saddles, and Other Function Values in the Singularity Expansion Method”, Mathematics Note 35, Feb. 1974
D. R. Wilton, R. J. Pogorzelski, R. D. Nevels: “Singularity Trajectories Under Parameter Variation”, Mathematics Note (to be published)
J. Schwinger: “The Theory of Obstacles in Resonant Cavities and Waveguides”, MIT Radiation Laboratory report (May 1943)
H. C. Pocklington: Proc. Cambridge Phil. Soc. 9, 324 (1897)
M. Abraham: Ann. Phys. (Leipzig) 66, 435 (1898)
Lord Rayleigh: Proc. Roy. Soc. 87, 193 (1912)
C. W. Oseen: Phys. Z. 14, 1222 (1913)
C. W. Oseen: Arkiv Mat. Astr. Fysik 9, no. 28,1 (1914)
C. W. Oseen: Arkiv Mat. Astr. Fysik 9, no. 29,1 (1914)
C. W. Oseen: Arkiv Mat. Astr. Fysik 9, no. 30,1 (1914)
E. Hallén: “Über die elektrischen Schwingungen in drahtförmigen Leitern”, Uppsala Univ. Årsskrift, no. 1, pp. 1–102, 1930
E. Hallén: Nova Acta Reg. Soc. Sci. Upsaliensis 11, 1 (1938)
L. Page, N. Adams: Phys. Rev. 53, 819 (1938)
L. Page: Phys. Rev. 65, 98, 111 (1944)
E. T. Copson: Theory of Functions of a Complex Variable (Oxford Press, Oxford 1935)
J. A. Stratton: Electromagnetic Theory (McGraw Hill, New York 1941)
S. A. Schelkunoff, H. T. Frits: Antennas Theory and Practice, (Wiley, New York 1952)
R. V. Churchill: Complex Variables and Applications (McGraw Hill, New York 1960)
J. Van Bladel: Electromagnetic Fields (McGraw Hill, New York 1964)
P. Roman: Advanced Quantum Theory (Addison-Wesley, New York 1965)
G. Carrier, M. Krook, C. Pearson: Functions or a Complex Variable (McGraw Hill, New York 1966)
R. F. Harrington: Field Computation by Moment Methods (Macmillan, 1968); also for recent treatments
R. Mittra (ed.): Topics in Applied Physics, Vol. 3: Numerical and Asymptotic Techniques in Electromagnetics (Springer, Berlin, Heidelberg, New York 1975)
L. A. Weinstein: Open Resonators and Open Waveguides (Golem Press, Boulder, Colo. 1969)
C. T. Tai: Dyadic Green's Functions in Electromagnetic Theory (Intext Educational Publishers, 1971)
L. B. Felsen, N. Marcuvitz: Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, N. J. 1973)
F. M. Tesche: Private communication.
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this chapter
Cite this chapter
Baum, C.E. (1976). The singularity expansion method. In: Felsen, L.B. (eds) Transient Electromagnetic Fields. Topics in Applied Physics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540075534_8
Download citation
DOI: https://doi.org/10.1007/3540075534_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07553-0
Online ISBN: 978-3-540-38095-5
eBook Packages: Springer Book Archive