# Electromagnetic Radiation: Variational Methods, Waveguides and Accelerators

@inproceedings{Milton2006ElectromagneticRV, title={Electromagnetic Radiation: Variational Methods, Waveguides and Accelerators}, author={Kimball A. Milton and Julian Seymour Schwinger}, year={2006} }

Maxwell's Equations.- Spherical Harmonics.- Relativistic Transformations.- Variational Principles for Harmonic Time Dependence.- Transmission Lines.- Waveguides and Equivalent Transmission Lines.- Rectangular and Triangular Waveguides.- Electromagnetic Fields in Waveguides with Circular Cross Sections.- Reflection and Refraction.- Variational Methods.- Examples of Variational Calculations for Circular Guide.- Steady Currents and Dissipation.- The Impedance Concept in Waveguides.- Accelerators…

## 38 Citations

### Inhomogeneous and Homogeneous Losses and Magnetic Field Effect in Planar Undulator Radiation

- Physics
- 2014

We construct an analytical model for the description of emission of undulator radiation (UR) harmonics with account for several sources of line broadening, including the efiect of a constant magnetic…

### Investigation of truncated waveguides

- Physics
- 2013

The design, fabrication, and performance of truncated circular and square waveguide cross‐sections are presented. An emphasis is placed upon numerical and experimental validation of simple analytical…

### ELECTROMAGNETIC CHARACTERIZATION OF MATERIALS FOR THE CLIC DAMPING RINGS

- Physics
- 2012

The performance of the Compact LinearCollider (CLIC) damping rings (DR) is likely to be limited by collective effects due to the unprecedented brilliance of the beams. Coating will be used in both…

### Potentials for a Cylindrical Electromagnetic Cavity

- Physics
- 2012

1 Problem Deduce scalar and vector potentials relevant to the lowest electromagnetic mode in a right circular cylindrical cavity of radius R and axial extend 2D, assuming the walls to be perfect…

### Laser induced distortion of band structure in solids: an analytic model

- PhysicsJournal of Physics: Conference Series
- 2019

We consider a spatially periodic (cosine) potential as a model for a crystalline solid that interacts with a harmonically oscillating external electric field. This problem is periodic both in space…

### Towards the Unity of Classical Physics

- Physics, Education
- 2009

The unity of classical mechanics and electromagnetism is proposed to be established through putting both on equal footing. The special-relativistic equations of motion for the particles and fields,…

### Potentials for a Rectangular Electromagnetic Cavity

- Physics
- 2012

The cavity has extent 0 < x < dx, 0 < y < dy, and 0 < z < dz. The electric field must be everywhere perpendicular to the (perfectly conducting) walls, such that for time dependence e−iωt there exists…

### Casimir interaction energies for magneto-electric \delta-function plates

- Physics
- 2013

We present boundary conditions for the electromagnetic fields on a \delta-function plate, having both electric and magnetic properties, sandwiched between two magneto-electric semi-infinite half…

### Classical Electrodynamics of Extended Bodies of Charge

- Physics
- 2018

We investigate the classical dynamics of charged bodies. Calculating their dynamics is difficult, primarily due to electromagnetic self-interaction (which produces radiation). This remains an…

### Underdeterminacy and Redundance in Maxwell ’ s Equations . Origin of Gauge Freedom-Transversality of Free Electromagnetic Waves-Gauge free Canonical Treatment without Constraints

- Physics
- 2009

Maxwell’s (1864) original equations are redundant in their description of charge conservation. In the nowadays used, ’rationalized’ Maxwell equations, this redundancy is removed through omitting the…