Model electron movement in an electric field (Magic Eye tube)

Click For Summary
SUMMARY

This discussion focuses on modeling the electron movement in a "Magic Eye" tube, specifically the EM34 model, in a simplified two-dimensional environment. The user seeks to simulate the display behavior by manipulating voltages on the control rods (St) and observing the resulting electron flow and illumination on the screen (L). Key concepts include the role of the cathode (K), grid (g), and the effects of voltage on the display output, which resembles a Lissajous pattern. The conversation emphasizes the importance of electron optics and suggests utilizing resources like Terman's "Radio Engineers Handbook" for further understanding.

PREREQUISITES
  • Basic understanding of electron movement and electric fields
  • Familiarity with the components of a Magic Eye tube, specifically the EM34 model
  • Knowledge of Lissajous patterns and their representation on oscilloscopes
  • Experience with simulation software for modeling physical systems
NEXT STEPS
  • Research electron optics and its principles for modeling electron paths
  • Explore Terman's "Radio Engineers Handbook" for examples related to triodes and electron behavior
  • Learn about discrete interval calculations for simulating electron movement
  • Investigate software tools for visualizing and simulating electric fields and electron dynamics
USEFUL FOR

Software developers, electronics enthusiasts, and educators interested in simulating electron behavior in vacuum tubes, particularly those looking to understand the visual output of Magic Eye tubes.

interestedperson
Messages
9
Reaction score
4
Hello there,

I'd like to model a simplified version of a "Magic Eye" tube (e.g. without the amplification triode, and for a start, 2 dimensions only), or the visible display behavior.

What I'm talking about:
https://en.wikipedia.org/wiki/Magic_eye_tube#Operation

Here is a nicer depiction of how it's actually constructed, and also an animation of what it looks like, the EM34 tube (which is my target). As can be seen, it's not exactly straight lines on that screen anode, next to other welcome imperfections.
mag_auge.gif
mageye-schema.gif


Source: (Text in German only, sorry)
http://www.netzmafia.de/skripten/hardware/Roehren/mag_eye.html

Using the German page's images for labels:
So, if viewed as a 2d case from above for now: Basically, there's a small circular cathode (K) in the very center, at 0 Volt. Around it is a grid (g) to somewhat dampen the electron flow (I've seen it electrically tied to the cathode in a particular radio receiver circuit). If we can, I'd like to ignore the extra anode (A) and its grid (G) which are for signal amplification, of the signal that goes to those 2 rods (St), in our 2d case even smaller circles spaced somewhat apart from the cathode. If we can, let's pretend I can control the voltage on those two (St) directly.
Then there is the screen (L) which acts as anode for the display function of the device - usually at 250 Volt.
This screen has a layer that will visibly emit green light if hit by sufficient number of electrons per time unit.
In the 2d case, it is the largest diameter ring, concentrically placed around the cathode.
In the function description it says, if both rods (St) are at the same voltage as the screen anode, they will not cause an "electron shadow", and the whole screen "ring" will be illuminated.
The lower the voltage gets on the rods, the more of a "shadow" (2 of them) is said to be produced.
Resulting in the display behavior as seen in the gif animation on the second linked site.

I Have searched a bit about calculating acceleration of electrons and found one on this site:
https://www.physicsforums.com/threads/velocity-of-electron-moving-between-charged-plates.360134/

This is a straight forward field between two plates. I guess my scenario is a bit more complicated.
I only had high school physics, and I don't even have an idea of how to model this, and what to compute. Well I imagine lots of vectors in different directions, but that's about it.

My goal, for now, is to make a simulation with "electrons moving" at human-observable speeds, and play around with voltages to see changes. (I'm a software dev of the rather less mathematical sort, I'd like to get somewhat more mathsy if it's not too late, though ;))
So I'd be fine with some stepped, discrete interval calculation of what happens.

I guess computing the end result (which parts of the screen "ring" are hit how much) could be computed with less effort with some fancy math, which is probably above my head or I have forgotten in all those years.
(By "compute end result" I mean, the display as a function of voltage(s) on the rods as parameters).

Since it's only about the humanly observable effects, this probably does not need to be extremely accurate - if corners can be cut to simplify things, let's do that.
What too much corner cutting would look like: Just drawing sections of a 2d ring with a fixed angle, and all at the same intensity. Which works without any physical calculations :)
If this turns out not to be way over my head, extending this to "3d enough" to get the irregularities, and different intensities, the glowing, at least somewhat convincingly, that would be a later goal.

Those irregularitities / glow on an already weakened tube (the different reaction curves of the left/right angles to the input signal is deliberate - how this is done exactly in the physical setup, I do not know)


Well, how could one go about this?
 

Attachments

  • mag_auge.gif
    mag_auge.gif
    95.7 KB · Views: 628
  • mageye-schema.gif
    mageye-schema.gif
    14.9 KB · Views: 618
Engineering news on Phys.org
I suggest looking at electron optics. Fro memory, Terman "Radio Engineers Handbook" gives some examples of electron paths in triodes etc.
The magic eye seems to be have a simple grid having two rods which deflects electron paths away from itself, so I presume they follow a hyperbolic path into the illuminated region. I think this could be modeled quite easily. The differing sensitivity of the rods may be produced by their distance from the cathode, in other words, each one has a different amplification factor.
 
For modeling the 'magic-eye' output the description of the triode in the (English) article provides advice: output resembles a Lissajou pattern. Presuming access to an oscilloscope and reference signal generator, you can model the 2D output pattern on the o'scope.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
Replies
66
Views
10K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
1
Views
3K