LEADER 01399nam a2200373 i 4500 001 991001298089707536 005 20020507190853.0 008 950719s1980 de ||| | eng 020 $a3540102639 035 $ab10828035-39ule_inst 035 $aLE01310113$9ExL 040 $aDip.to Matematica$beng 082 0 $a512.5 084 $aAMS 16G 084 $aAMS 16G10 084 $aAMS 16H05 084 $aAMS 17B10 100 1 $aDlab, Vlastimil$054934 245 10$aRepresentation theory I :$bproceedings of the Workshop on the present trends in Representation Theory, Ottawa, Carleton University, August 13-18, 1979 /$cedited by V. Dlab and P. Gabriel 260 $aBerlin :$bSpringer-Verlag,$c1980 300 $axiv, 373 p. :$bill. ;$c24 cm. 490 0 $aLecture notes in mathematics,$x0075-8434 ;$v831 500 $aBibliography: p. [325]-373. 500 $aIncludes index 650 4$aAssociative algebras$xCongresses 650 4$aLie algebras$xCongresses 650 4$aRepresentations of algebras$xCongresses 700 1 $aGabriel, Peter 907 $a.b10828035$b23-02-17$c28-06-02 912 $a991001298089707536 945 $aLE013 16G DLA11 V.I (1980)$cV. 1$g1$i2013000032627$lle013$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i10936063$z28-06-02 996 $aRepresentation theory I$9924474 997 $aUNISALENTO 998 $ale013$b01-01-95$cm$da $e-$feng$gde $h0$i1 LEADER 12706nam 2200649 450 001 9910828287003321 005 20231110213231.0 010 $a1-118-75371-2 010 $a1-306-68506-0 010 $a1-118-84869-1 024 7 $a10.1002/9781118753767 035 $a(Au-PeEL)EBL1676378 035 $a(CaPaEBR)ebr10862634 035 $a(CaBNVSL)mat06817682 035 $a(IDAMS)0b0000648254aa68 035 $a(IEEE)6817682 035 $a(Au-PeEL)EBL7104029 035 $a(PPN)195538870 035 $a(OCoLC)861120103 035 $a(MiAaPQ)EBC1676378 035 $a(EXLCZ)994330000000002214 100 $a20140506h20142014 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFundamentals of the physical theory of diffraction /$fPyotr Ya. Ufimtsev 205 $aSecond edition. 210 1$aHoboken, New Jersey :$cIEEE :$cWiley,$d2014. 210 4$d2014 215 $a1 online resource (497 pages) $cillustrations 225 1 $aNew York Academy of Sciences 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-118-75366-6 311 $a1-118-75376-3 320 $aIncludes bibliographical references and index. 327 $aPreface xiii -- Foreword to the First Edition xv -- Preface to the First Edition xix -- Acknowledgments xxi -- Introduction xxiii -- 1 Basic Notions in Acoustic and Electromagnetic Diffraction Problems 1 -- 1.1 Formulation of the Diffraction Problem / 1 -- 1.2 Scattered Field in the Far Zone / 3 -- 1.3 Physical Optics / 7 -- 1.3.1 Definition of Physical Optics / 7 -- 1.3.2 Total Scattering Cross-Section / 10 -- 1.3.3 Optical Theorem / 11 -- 1.3.4 Introducing Shadow Radiation / 12 -- 1.3.5 Shadow Contour Theorem and the Total Scattering Cross-Section / 17 -- 1.3.6 Shadow Radiation and Reflected Field in the Far Zone / 20 -- 1.3.7 Shadow Radiation and Reflection from Opaque Objects / 22 -- 1.4 Electromagnetic Waves / 23 -- 1.4.1 Basic Field Equations and PO Backscattering / 23 -- 1.4.2 PO Field Components: Reflected Field and Shadow Radiation / 26 -- 1.4.3 Electromagnetic Reflection and Shadow Radiation from Opaque Objects / 28 -- 1.5 Physical Interpretations of Shadow Radiation / 31 -- 1.5.1 Shadow Field and Transverse Diffusion / 31 -- 1.5.2 Fresnel Diffraction and Forward Scattering / 32 -- 1.6 Summary of Properties of Physical Optics Approximation / 32 -- 1.7 Nonuniform Component of an Induced Surface Field / 33 -- Problems / 36 -- 2 Wedge Diffraction: Exact Solution and Asymptotics 49 -- 2.1 Classical Solutions / 49 -- 2.2 Transition to Plane Wave Excitation / 55 -- 2.3 Conversion of the Series Solution to the Sommerfeld Integrals / 57 -- 2.4 The Sommerfeld Ray Asymptotics / 61 -- 2.5 The Pauli Asymptotics / 63 -- 2.6 Uniform Asymptotics: Extension of the Pauli Technique / 68 -- 2.7 Fast Convergent Integrals and Uniform Asymptotics: The ?Magic Zero? Procedure / 72 -- Problems / 76 -- 3 Wedge Diffraction: The Physical Optics Field 87 -- 3.1 Original PO Integrals / 87 -- 3.2 Conversion of PO Integrals to the Canonical Form / 90 -- 3.3 Fast Convergent Integrals and Asymptotics for the PO Diffracted Field / 94 -- Problems / 100 -- 4 Wedge Diffraction: Radiation by Fringe Components of Surface Sources 103. 327 $a4.1 Integrals and Asymptotics / 104 -- 4.2 Integral Forms of Functions f (1) and g(1) / 112 -- 4.3 Oblique Incidence of a Plane Wave at a Wedge / 114 -- 4.3.1 Acoustic Waves / 114 -- 4.3.2 Electromagnetic Waves / 118 -- Problems / 120 -- 5 First-Order Diffraction at Strips and Polygonal Cylinders 123 -- 5.1 Diffraction at a Strip / 124 -- 5.1.1 Physical Optics Part of the Scattered Field / 124 -- 5.1.2 Total Scattered Field / 128 -- 5.1.3 Numerical Analysis of the Scattered Field / 132 -- 5.1.4 First-Order PTD with Truncated Scattering Sources j(1) h / 135 -- 5.2 Diffraction at a Triangular Cylinder / 140 -- 5.2.1 Symmetric Scattering: PO Approximation / 141 -- 5.2.2 Backscattering: PO Approximation / 143 -- 5.2.3 Symmetric Scattering: First-Order PTD Approximation / 145 -- 5.2.4 Backscattering: First-Order PTD Approximation / 148 -- 5.2.5 Numerical Analysis of the Scattered Field / 150 -- Problems / 152 -- 6 Axially Symmetric Scattering of AcousticWaves at Bodies of Revolution 157 -- 6.1 Diffraction at a Canonical Conic Surface / 158 -- 6.1.1 Integrals for the Scattered Field / 159 -- 6.1.2 Ray Asymptotics / 160 -- 6.1.3 Focal Fields / 166 -- 6.1.4 Bessel Interpolations for the Field u(1) s,h / 167 -- 6.2 Scattering at a Disk / 169 -- 6.2.1 Physical Optics Approximation / 169 -- 6.2.2 Relationships Between Acoustic and Electromagnetic PO Fields / 171 -- 6.2.3 Field Generated by Fringe Scattering Sources / 172 -- 6.2.4 Total Scattered Field / 173 -- 6.3 Scattering at Cones: Focal Field / 176 -- 6.3.1 Asymptotic Approximations for the Field / 176 -- 6.3.2 Numerical Analysis of Backscattering / 179 -- 6.4 Bodies of Revolution with Nonzero Gaussian Curvature: Backscattered Focal Fields / 183 -- 6.4.1 PO Approximation / 184 -- 6.4.2 Total Backscattered Focal Field: First-Order PTD Asymptotics / 186 -- 6.4.3 Backscattering from Paraboloids / 186 -- 6.4.4 Backscattering from Spherical Segments / 192 -- 6.5 Bodies of Revolution with Nonzero Gaussian Curvature: Axially Symmetric Bistatic Scattering / 196. 327 $a6.5.1 Ray Asymptotics for the PO Field / 196 -- 6.5.2 Bessel Interpolations for the PO Field in the Region - �� ≤ �� ≤ / 200 -- 6.5.3 Bessel Interpolations for the PTD Field in the Region - �� ≤ �� ≤ / 200 -- 6.5.4 Asymptotics for the PTD Field in the Region 2�� < �� ≤ - �� Away from the GO Boundary �� = 2�� / 201 -- 6.5.5 Uniform Approximations for the PO Field in the Ray Region 2�� ≤ �� ≤ - ��, Including the GO Boundary �� = 2�� / 202 -- 6.5.6 Approximation of the PO Field in the Shadow Region for Reflected Rays / 205 -- Problems / 207 -- 7 Elementary Acoustic and Electromagnetic Edge Waves 211 -- 7.1 Elementary Strips on a Canonical Wedge / 212 -- 7.2 Integrals for j(1) s,h on Elementary Strips / 213 -- 7.3 Triple Integrals for Elementary Edge Waves / 217 -- 7.4 Transformation of Triple Integrals into One-Dimensional Integrals / 220 -- 7.5 General Asymptotics for Elementary Edge Waves / 225 -- 7.6 Analytic Properties of Elementary Edge Waves / 230 -- 7.7 Numerical Calculations of Acoustic Elementary Fringe Waves / 234 -- 7.8 Electromagnetic Elementary Edge Waves / 237 -- 7.8.1 Electromagnetic EEWs on the Diffraction Cone Outside the Wedge / 241 -- 7.8.2 Electromagnetic EEWs on the Diffraction Cone Inside the Wedge / 243 -- 7.8.3 Numerical Calculations of Electromagnetic Elementary Fringe Waves / 245 -- 7.9 Improved Theory of Elementary Edge Waves: Removal of the Grazing Singularity / 245 -- 7.9.1 Acoustic EEWs / 248 -- 7.9.2 Electromagnetic EEWs Generated by the Modified Nonuniform Current / 253 -- 7.10 Some References Related to Elementary Edge Waves / 256 -- Problems / 257 -- 8 Ray and Caustic Asymptotics for Edge Diffracted Waves 261 -- 8.1 Ray Asymptotics / 261 -- 8.1.1 Acoustic Waves / 261 -- 8.1.2 Electromagnetic Waves / 266 -- 8.1.3 Comments on Ray Asymptotics / 267 -- 8.2 Caustic Asymptotics / 269 -- 8.2.1 Acoustic waves / 269 -- 8.2.2 Electromagnetic Waves / 274 -- 8.3 Relationships between PTD and GTD / 275 -- Problems / 276 -- 9 Multiple Diffraction of Edge Waves: Grazing Incidence and Slope Diffraction 285. 327 $a9.1 Statement of the Problem and Related References / 285 -- 9.2 Grazing Diffraction / 286 -- 9.2.1 Acoustic Waves / 286 -- 9.2.2 Electromagnetic Waves / 290 -- 9.3 Slope Diffraction in Configuration of Figure 9.1 / 292 -- 9.3.1 Acoustic Waves / 292 -- 9.3.2 Electromagnetic Waves / 295 -- 9.4 Slope Diffraction: General Case / 296 -- 9.4.1 Acoustic Waves / 296 -- 9.4.2 Electromagnetic Waves / 299 -- Problems / 302 -- 10 Diffraction Interaction of Neighboring Edges on a Ruled Surface 305 -- 10.1 Diffraction at an Acoustically Hard Surface / 306 -- 10.2 Diffraction at an Acoustically Soft Surface / 309 -- 10.3 Diffraction of Electromagnetic Waves / 312 -- 10.4 Test Problem: Secondary Diffraction at a Strip / 314 -- 10.4.1 Diffraction at a Hard Strip / 314 -- 10.4.2 Diffraction at a Soft Strip / 317 -- Problems / 318 -- 11 Focusing of Multiple Acoustic Edge Waves Diffracted at a Convex Body of Revolution with a Flat Base 325 -- 11.1 Statement of the Problem and its Characteristic Features / 325 -- 11.2 Multiple Hard Diffraction / 327 -- 11.3 Multiple Soft Diffraction / 328 -- Problems / 330 -- 12 Focusing of Multiple Edge Waves Diffracted at a Disk 333 -- 12.1 Multiple Hard Diffraction / 334 -- 12.2 Multiple Soft Diffraction / 336 -- 12.3 Multiple Diffraction of Electromagnetic Waves / 340 -- Problems / 341 -- 13 Backscattering at a Finite-Length Cylinder 343 -- 13.1 Acoustic Waves / 343 -- 13.1.1 PO Approximation / 343 -- 13.1.2 Backscattering Produced by the Nonuniform Component j(1) / 347 -- 13.1.3 Total Backscattered Field / 352 -- 13.2 Electromagnetic Waves / 354 -- 13.2.1 E-polarization / 354 -- 13.2.2 H-polarization / 360 -- Problems / 362 -- 14 Bistatic Scattering at a Finite-Length Cylinder 365 -- 14.1 Acoustic Waves / 365 -- 14.1.1 PO Approximation / 366 -- 14.1.2 Shadow Radiation as a Part of the Physical Optics Field / 368 -- 14.1.3 PTD for Bistatic Scattering at a Hard Cylinder / 370 -- 14.1.4 Beams and Rays of the Scattered Field / 376 -- 14.1.5 PO Shooting-Through Rays and Their Cancellation by Fringe Rays / 381. 327 $a14.1.6 Refined Asymptotics for the Specular Beam Reflected from the Lateral Surface / 382 -- 14.2 Electromagnetic Waves / 386 -- 14.2.1 E-Polarization / 386 -- 14.2.2 H-Polarization / 388 -- 14.2.3 Refined Asymptotics for the Specular Beam Reflected from the Lateral Surface / 390 -- Problems / 393 -- Conclusion 397 -- References 399 -- Appendix to Chapter 4: MATLAB Codes for Two-Dimensional Fringe Waves and Figures (F. Hacivelioglu and L. Sevgi) 411 -- Appendix to Chapter 6: MATLAB Codes for Axial Backscattering at Bodies of Revolution (F. Hacivelioglu and L. Sevgi) 431 -- Appendix to Section 7.7: MATLAB Codes for Diffraction Coefficients of Acoustic Elementary Fringe Waves (F. Hacivelioglu and L. Sevgi) 439 -- Appendix to Section 7.8.3: MATLAB Codes for Diffraction Coefficients of Electromagnetic Elementary Fringe Waves (F. Hacivelioglu and L. Sevgi) 443 -- Appendix to Section 7.9.2: Field d⃗E (0) mod Radiated by Modified Uniform Currents ⃗J (0) mod Induced on Elementary Strips (P. Ya. Ufimtsev) 447 -- Index 451. 330 $aThe book is a complete, comprehensive description of the modern Physical Theory of Diffraction (PTD) based upon the concept of elementary edge waves. The theory is demonstrated with examples of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. / Readers develop the skills to apply PTD to solve various scattering problems. The derived analytic expressions clearly illustrate the physical structure of the scattered field. They additionally describe all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a fundamental component of PTD, is introduced and proven to contain half the total scattered power. The equivalence relationships between acoustic and electromagnetic diffracted waves are established and emphasized. Throughout the book, the author enables readers to master both the theory and its practical applications. / - Plotted numeric results supplement the theory and facilitate the visualization of individual contributions of distinct parts of the scattering objects to the total diffracted field / - Detailed comments help readers understand and implement all the critical steps of the analytic and numeric calculations / - Problem sets in each chapter give readers an opportunity to analyse and investigate the diffraction phenomena. 410 0$aNew York Academy of Sciences 606 $aDiffractive scattering 606 $aElectromagnetic waves$xDiffraction 615 0$aDiffractive scattering. 615 0$aElectromagnetic waves$xDiffraction. 676 $a535/.42 700 $aUfimtsev$b P. IA$g(Petr IAkovlevich),$0845573 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828287003321 996 $aFundamentals of the physical theory of diffraction$93963999 997 $aUNINA LEADER 02294nam 22004333a 450 001 9910293143103321 005 20250513221755.0 035 $a(CKB)4100000007128142 035 $a(ScCtBLL)acfa59cd-bd27-4afc-aa1c-6e5330856443 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/27856 035 $a(Perlego)2328366 035 $a(oapen)doab27731 035 $a(oapen)27731 035 $a(EXLCZ)994100000007128142 100 $a20211214i20182019 uu 101 0 $ager 135 $auru|||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 04$aDie Regesten des Kaiserreiches unter Friedrich I. 1152 (1122)-1190 $eEinleitung und Nachwort, Nachträge, Bibliographie, Abkürzungs- und Siglenverzeichnis, Namenregister, Konkordanztafeln /$fFerdinand Opll 210 $cBöhlau$d2018 210 1$a[s.l.] :$cBo?hlau,$d2018. 215 $a1 online resource (725 p.) 311 08$a9783205232452 311 08$a3205232453 330 $a"1975 begannen die Arbeiten an den Regesta Imperii fu?r die Zeit Kaiser Friedrich Barbarossas, im Ma?rz 2018 sind sie nun, stets getragen vom selben Bearbeiter, zu Ende gegangen. Mit diesem letzten Band werden - sieben Jahre nach Vorlage der kompletten chronologischen Regestenreihe - nochmals Nachtra?ge, das Register der Orts- und Personennamen und die Bibliographie publiziert. Das Register erschließt mit seiner ungeheuren Spannweite - von der Iberischen Halbinsel und den modernen Benelux-Staaten im Westen, im Osten im Kontext des Kreuzzuges bis in die Tu?rkei und Teile des Nahen Ostens reichend - weit mehr, als es das ohnehin schon große Gebiet des Heiligen Ro?mischen Reiches vermuten la?sst. Die Einleitung ist - nach 43 Jahren - zugleich ein Nachwort, bietet daher Nachbetrachtungen, Reflexionen und Erla?uterungen zu einem Lebenswerk." 606 $aHistory / Europe / Medieval$2bisacsh 606 $aHistory 615 7$aHistory / Europe / Medieval 615 0$aHistory. 700 $aOpll$b Ferdinand$4edt$0550659 702 $aOpll$b Ferdinand 801 0$bScCtBLL 801 1$bScCtBLL 906 $aBOOK 912 $a9910293143103321 996 $aDie Regesten des Kaiserreiches unter Friedrich I. 1152 (1122)-1190$93574533 997 $aUNINA