Electromagnetic Radiation: Variational Methods, Waveguides and AcceleratorsJulian Schwinger was already the world’s leading nuclear theorist when he joined the Radiation Laboratory at MIT in 1943, at the ripe age of 25. Just 2 years earlier he had joined the faculty at Purdue, after a postdoc with OppenheimerinBerkeley,andgraduatestudyatColumbia. Anearlysemester at Wisconsin had con?rmed his penchant to work at night, so as not to have to interact with Breit and Wigner there. He was to perfect his iconoclastic 1 habits in his more than 2 years at the Rad Lab. Despite its deliberately misleading name, the Rad Lab was not involved in nuclear physics, which was imagined then by the educated public as a esoteric science without possible military application. Rather, the subject at hand was the perfection of radar, the beaming and re?ection of microwaves which had already saved Britain from the German onslaught. Here was a technology which won the war, rather than one that prematurely ended it, at a still incalculable cost. It was partly for that reason that Schwinger joined this e?ort, rather than what might have appeared to be the more natural project for his awesome talents, the development of nuclear weapons at Los Alamos. He had got a bit of a taste of that at the “Metallurgical Laboratory” in Chicago, and did not much like it. Perhaps more important for his decision to go to and stay at MIT during the war was its less regimented and isolated environment. |
Contents
1 | |
Waveguides and Equivalent Transmission Lines | 103 |
Rectangular and Triangular Waveguides 133 | 132 |
Circular Cross Section | 154 |
Reflection and Refraction | 179 |
Spherical Harmonics 2 1 Connection to Bessel Functions 2 2 Multipole Harmonics 2 3 Spherical Harmonics 2 4 Multipole Interactions 2 5 Problems f... | 189 |
63 | 244 |
79 | 274 |
Synchrotron Radiation | 281 |
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Electromagnetic Radiation: Variational Methods, Waveguides and Accelerators ... Kimball Milton,Julian Schwinger No preview available - 2010 |
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angle applied approximation arbitrary associated boundary condition cavity Chap characteristic charge circular complete components conducting consider constant constructed continuous coordinates corresponding cross section defined density derived described determined differential direction discussion distribution dominant E-mode eigenfunctions eigenvalue electric electric field electromagnetic electron energy equal equation equivalent expression field first frequency given H mode Hence impedance implies incident independent integral latter length limit linear lower magnetic magnetic field matrix mode functions normal Note obtained origin orthogonal particle plane positive potential principle Problem propagation quantities radiation reference reflection region relation respect result satisfy scattering shown sides situation solution surface theorem tion transformation transmission line transverse unit vanishes variations vector voltage wave waveguide wavelength write zero
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