By Shulim E. Tsimring

This e-book specializes in a primary characteristic of vacuum electronics: the powerful interplay of the physics of electron beams and vacuum microwave electronics, together with millimeter-wave electronics. the writer publications readers from the roots of classical vacuum electronics to the latest achievements within the box. distinct awareness is dedicated to the physics and conception of relativistic beams and microwave units, in addition to the speculation and purposes of particular units.

Show description

Read Online or Download Electron Beams and Microwave Vacuum Electronics PDF

Similar electromagnetism books

Classical Charged Particles (Third Edition)

Initially written in 1964, this recognized textual content is a research of the classical idea of charged debris. Many purposes deal with electrons as aspect debris. while, there's a common trust that the speculation of element debris is beset with a variety of problems corresponding to an enormous electrostatic self-energy, a slightly uncertain equation of movement which admits bodily meaningless recommendations, violation of causality and others.

Electromagnetic Fields in Mechatronics, Electrical And Electronic Engineering: Proceedings of Isef'05 (Studies in Applied Electromagnetics and Mechanics) ... in Applied Electromagnetics and Mechanics)

An increasing number of researchers interact into research of electromagnetic purposes, specifically those hooked up with mechatronics, info applied sciences, medication, biology and fabric sciences. it's conveniently obvious while the content material of the ebook that computational ideas, that have been less than improvement over the past 3 a long time and are nonetheless being built, function sturdy instruments for locating new electromagnetic phenomena.

Practical gamma-ray spectrometry

The second one variation of sensible Gamma-Ray Spectrometry has been thoroughly revised and up-to-date, supplying accomplished insurance of the complete gamma-ray detection and spectrum research procedures. Drawn on a long time of educating event to provide this uniquely functional quantity, matters mentioned contain the beginning of gamma-rays and the problem of caliber coverage in gamma-ray spectrometry.

Additional resources for Electron Beams and Microwave Vacuum Electronics

Example text

2) with pitch h ¼ (2p=vg )vB . It is evident that equations of the trajectory for x0 ¼ y0 ¼ z0 ¼ 0 are x ¼ r? sin(vg t) y ¼ r? 2 Motion of an electron in a homogeneous magnetic field. 5 MOTION OF ELECTRONS IN HOMOGENEOUS STATIC FIELDS 25 The circle is called a Larmor circle, the radius is a Larmor radius, the center of the Larmor orbit is a guiding center, and vg is the gyrofrequency or cyclotron frequency. It is essential that the relativistic gyrofrequency depends on the particle’s kinetic energy: vg ¼ e0 c 2 hB B¼ w g (1:39) Therefore, electrons in magnetic fields behave as nonisochronous oscillators.

A number of particles in the unity phase volume), F¼ dn dP dq where dn is the number of particles in the phase volume dP dq. The value F denotes density in the phase space. In general, if there are N interacting particles, the Lagrangian for each particle depends on the coordinates and velocities of all particles, and the phase space has 6N dimensions. Each element of dPi dqi is really a six-dimensional element in Euclidean space. 6 LIOUVILLE THEOREM 11 where the 6N velocity v has the components P_ and q_ .

22 MOTION OF ELECTRONS IN EXTERNAL ELECTRIC AND MAGNETIC STATIC FIELDS Integrating the first equation in Eq. 21), we obtain px ¼ mvx ¼ p0 (1:22) As follows from the second equation in Eq. 21), dpy dpy dx p0 dpy ¼ ¼ e0 E ¼ dt dx dt m dx (1:23) According to Eq. 2), the mass may be written as rffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 1 1 qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 1 W02 2 2 2 2 2 2 2 m¼ p þ m0 c ¼ p0 þ m0 c þ py ¼ þ p2y (1:24) c c c c2 qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi where W0 ¼ c m20 c2 þ p20 is the initial kinetic energy of the particle.

Download PDF sample

Rated 4.20 of 5 – based on 33 votes