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1.

図書

図書
S. S. Vinogradov, P. D. Smith, E. D. Vinogradova
出版情報: Boca Raton, Fla. : Chapman & Hall/CRC, c2002  xii, 503 p. ; 25 cm
シリーズ名: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 127 . Canonical problems in scattering and potential theory ; pt. 2
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目次情報: 続きを見る
Preface
Mathematical Aspects of Wave Scattering / 1:
The Equations of Acoustic and Electromagnetic Waves / 1.1:
Solution of the Helmholtz Equation: Separation of Variables / 1.2:
Fields of Elementary Sources. Green's Functions / 1.3:
Representations of Incident Electromagnetic Waves / 1.4:
Formulation of Wave Scattering Theory for Structures with Edges / 1.5:
Single- or Double-Layer Surface Potentials and Dual Series Equations / 1.6:
A Survey of Methods for Scattering / 1.7:
Acoustic Diffraction from a Circular Hole in a Thin Spherical Shell / 2:
Plane Wave Diffraction from a Soft or Hard Spherical Cap / 2.1:
Rigorous Theory of the Spherical Helmholtz Resonator / 2.2:
Quasi-Eigenoscillations: Spectrum of the Open Spherical Shell / 2.3:
Total and Sonar Cross-Sections / 2.4:
Rayleigh Scattering / 2.4.1:
Resonance Region / 2.4.2:
High Frequency Regime / 2.4.3:
The Mechanical Force Factor / 2.5:
The Focal Region of a Spherical Reflector Antenna / 2.6:
The Transmitting Spherical Reflector Antenna / 2.7:
Complex Point Source / 2.7.1:
Regularised Solution and Far-Field Characteristics / 2.7.2:
Numerical Results / 2.7.3:
Acoustic Diffraction from Various Spherical Cavities / 3:
The Hard Spherical Barrel and Soft Slotted Spherical Shell / 3.1:
The Soft Spherical Barrel and Hard Slotted Spherical Shell / 3.2:
Helmholtz Resonators: Barrelled or Slotted Spherical Shells / 3.3:
Quasi-Eigenoscillations of the Spherical Cavity / 3.4:
Total and Sonar Cross-Sections; Mechanical Force Factor / 3.5:
Electromagnetic Diffraction from a Metallic Spherical Cavity / 4:
Electric or Magnetic Dipole Excitation / 4.1:
The Vertical Electric Dipole (TM Case) / 4.1.1:
The Vertical Magnetic Dipole (TE Case) / 4.1.2:
Plane Wave Diffraction from a Circular Hole in a Thin Metallic Sphere / 4.2:
Reflectivity of Open Spherical Shells / 4.3:
The Focal Region of a Receiving Spherical Reflector Antenna / 4.4:
The Complex-Point Huygens Source: Debye Potentials / 4.5:
Excitation of the Reflector by a CPHS / 4.5.2:
Electromagnetic Diffraction from Various Spherical Cavities / 4.5.3:
EM Plane Wave Scattering by Two Concentric Spherical Shells / 5.1:
Dipole Excitation of a Slotted Sphere / 5.2:
The Vertical Electric Dipole / 5.2.1:
The Vertical Magnetic Dipole / 5.2.2:
Dipole Excitation of Doubly-Connected Spherical Shells / 5.3:
Plane Wave Diffraction: Perfectly Conducting Slotted Spherical Shell / 5.4:
Magnetic Dipole Excitation of an Open Spherical Resonator / 5.5:
Open Resonators Composed of Spherical and Disc Mirrors / 5.6:
Spherical Cavities with Spherical Dielectric Inclusions / 6:
Resonant Cavity Heating of a Small Lossy Dielectric Sphere / 6.1:
Reflectivity of a Partially Screened Dielectric Sphere / 6.2:
The Luneberg Lens Reflector / 6.3:
Diffraction from Spheroidal Cavities / 7:
Regularisation in Spheroidal Coordinates / 7.1:
Acoustic Scattering by a Rigid Spheroidal Shell with a Circular Hole / 7.2:
Rigorous Theory of the Spheroidal Helmholtz Resonator / 7.3:
Axial Electric Dipole Excitation of a Metallic Spheroidal Cavity / 7.4:
Axial Magnetic Dipole Excitation of a Metallic Spheroidal Cavity / 7.5:
Axial Electric Dipole Excitation of a Spheroidal Barrel / 7.6:
The Series Equations with Odd Index Coefficients / 7.6.1:
The Series Equations with Even Index Coefficients / 7.6.2:
Impedance Loading of the Spheroidal Barrel / 7.6.3:
Spheroid Embedded in a Spheroidal Cavity with Two Holes / 7.8:
Wave Scattering Problems for Selected Structures / 8:
Plane Wave Diffraction from Infinitely Long Strips / 8.1:
Axially Slotted Infinitely Long Circular Cylinders / 8.2:
Axially Slotted Cylinders of Arbitrary Profile / 8.3:
Diffraction from Circular Discs / 8.4:
Diffraction from Elliptic Plates / 8.5:
Wave Scattering Problems for Hollow Finite Cylinders / 8.6:
Wave Scattering Problems for Periodic Structures / 8.7:
Periodic Linear Array of Strips / 8.7.1:
Periodic Linear Array of Hollow Finite Cylinders / 8.7.2:
Shielded Microstrip Lines / 8.8:
References
Index
Preface
Mathematical Aspects of Wave Scattering / 1:
The Equations of Acoustic and Electromagnetic Waves / 1.1:
2.

図書

図書
George Green ; edited by N.M. Ferrers
出版情報: Mineola, N.Y. : Dover Publications, 2005  x, 336 p. ; 23 cm
シリーズ名: Dover phoenix editions
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3.

図書

図書
Luca Capogna, Carlos E. Kenig, Loredana Lanzani
出版情報: Providence, R.I. : American Mathematical Society, c2005  x, 155 p. ; 26 cm
シリーズ名: University lecture series ; 35
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Motivation and statement of the main results
The relation between potential theory and geometry for planar domains
Preliminary results in potential theory
Reifenberg flat and chord arc domains
Further results on Reifenberg flat and chord arc domains
From the geometry of a domain to its potential theory
From potential theory to the geometry of a domain
Higher codimension and further regularity results
Bibliography
Motivation and statement of the main results
The relation between potential theory and geometry for planar domains
Preliminary results in potential theory
4.

図書

図書
Peter Ebenfelt ... [et al.], editors
出版情報: Basel : Birkhäuser Verlag, c2005  xxviii, 277 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 156
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5.

図書

図書
par Pierre Humbert ; avec une préface de Louis de Broglie
出版情報: Paris : Gauthier-Villars, 1936  viii, 80 p. ; 24 cm
シリーズ名: Cahiers scientifiques ; fasc. 15
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6.

図書

図書
Н.С. Ландкоф
出版情報: Москва : Изд-во "Наука", 1966  515 p. ; 21 cm
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7.

図書

図書
Gregory F. Lawler
出版情報: Providence, R.I. : American Mathematical Society, c2005  xi, 242 p. ; 27 cm
シリーズ名: Mathematical surveys and monographs ; v. 114
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8.

図書

図書
David H. Armitage, Stephen J. Gardiner
出版情報: London ; Berlin : Springer, c2001  xvi, 333 p. ; 24 cm
シリーズ名: Springer monographs in mathematics
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目次情報: 続きを見る
Notation and Terminology
Harmonic Functions / 1:
Harmonic Polynomials / 2:
Subharmonic Functions / 3:
Potentials / 4:
Polar Sets and Capacity / 5:
The Dirichlet Problem / 6:
The Fine Topology / 7:
The Martin Boundary / 8:
Boundary Limits / 9:
Appendix
Historical Notes
References
Symbol Index
Index
Notation and Terminology
Harmonic Functions / 1:
Harmonic Polynomials / 2:
9.

図書

図書
Edward B. Saff, Vilmos Totik
出版情報: Berlin : Springer, c1997  xv, 505 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 316
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10.

図書

図書
Heinz Bauer ; edited by Herbert Heyer, Niels Jacob, Ivan Netuka
出版情報: Berlin : Walter de Gruyter, 2003  xiv, 597 p. ; 25 cm
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