3D Electron Path in Cylindrically Symmetric B-field

These equations for electron trajectories through a cylindrically symmetric azimuthal B-field were applied to the following gizmo. See page 12 (above) for a small schematic of it. A toroidal coil of fine wires was constructed, supported by a thin open plastic framework. A current pulse applied to the coil produced a uniform azimuthal B-field within the torus. This device was a magnetic lens. Its purpose was to focus electrons emitted at a point source, located on the axis of the torus, and some distance away (say, below). The relativistic electrons (generated from gamma rays at the source volume) are bent on transiting the torus, and focus to a point (say, above some distance along the axis), where a detector measures their arrival. Lead blocks with slits, between the source and the torus, select a specific angle of emitted electrons, and thus (by the Compton energy-angle formula) of a specific energy. The idea was for this magnetic lens to act as a monochromator. The detector measures the time history of the electron pulse, and thus of the gamma pulse. It worked great. I was fortunate to have a big team of excellent engineers to devise the hardware.

<><><><><><><>

 

Linking Energy Use And Human Development

This is a re-posting of my report An Introduction Linking Energy Use And Human Development, from 28 April 2006 — unchanged. This is another of my personal favorites. A PDF copy of the report is available through the web-link given below.

An Introduction Linking Energy Use And Human Development
28 April 2006
https://manuelgarciajr.files.wordpress.com/2011/11/efhd_r_01.pdf

<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>



























<><><><><><><>

<><><><><><><>

Of related interest and more recent:

Energy for Human Development
9 November 2011
https://manuelgarciajr.com/2011/11/09/energy-for-human-development/

Energy for Society in Balance with Nature
8 June 2015 (27 February 2012)
https://manuelgarciajr.com/2015/06/08/energy-for-society-in-balance-with-nature/

Our Globally Warming Civilization
2 June 2019
https://manuelgarciajr.com/2019/06/02/our-globally-warming-civilization/

Oil, Population, Temperature, What Causes What?
9 June 2019
https://manuelgarciajr.com/2019/06/09/oil-population-temperature-what-causes-what/

<><><><><><><><><><><><><><><><><><><><><><><><><><><>

DC Planar Magnetron Cathode 2D Fluid Model

<><><><><><><>

Related post:

https://manuelgarciajr.com/2017/10/28/proton-beam-driven-electron-mhd/

<><><><><><><>

Proton Beam Driven Electron MHD

MHD 1984
[“MHD 1984” is a link to a PDF file of the following.]

<><><><><><><>

Addendum, 7 March 2018

Alfvén’s magnetic pumping (by hydromagnetic or Alfvén waves), and hydromagnetic shocks are now recognized by computational physical science.

Scientists crack 70-year-old mystery of how magnetic waves heat the sun
March 6, 2018, Queen’s University Belfast
https://phys.org/news/2018-03-scientists-year-old-mystery-magnetic-sun.html

<><><><><><><>

In 1942, Swedish physicist and engineer Hannes Alfvén presented his theory of hydromagnetic waves, for which he won the Nobel Prize in physics in 1970. Between 1983 and 1985, I tried to convince my supposed colleagues and science-bureaucrat superiors (timorous bosses and climbers at Livermore, and also Los Alamos) to study this type of magnetic wave phenomenon, after I found ample evidence of it in very elaborate computer simulations of nuclear explosions (simulations of which was all they knew how to do) driving moderately relativistic magnetohydrodynamics (which they did not recognize nor understand at all). So, I enjoyed reading about the new advances in hydromagnetic wave physics made by the Queen’s University Belfast. My cartoon physics monograph on the subject (to the extent I could understand it), from 1983-1985, is available at my blog under the title “Proton Beam Driven Electron MHD.” One of my favorite works ever.

<><><><><><><>