Did I Discover a New Optical Phenomenon?

In 1966, I may have accidentally discovered a new optical effect. But for 60 years, I’ve been unsure. Until now.

I noticed the phenomenon on my own, in my dorm room.

The next day, I was sitting in a classroom with a youngish professor, probably of assistant professor rank. I liked both him, and optical physics.  

The professor had been lecturing in one of the older buildings on the Georgia Tech campus. Built in 1923, the wood in the Carnegie Physics Building lecture room looked ancient, and smelled like a combination of student sweat and Georgia pine paneling. The room was compact, built for a time when class sizes were much smaller, and long before air conditioning.

For fifty minutes the professor filled the chalkboard with diagrams and equations. When the class time was up, students left hurriedly, heading to their next class. But I lingered.

While the professor was turned away from me, erasing his work from the board, I caught his attention. I told him what I had done and seen in my dorm room.

At first, he said nothing. I assumed he would eventually remember some obscure fact of optics that applied. But all I got was a blank stare followed by shrugged shoulders. He was stumped.

I am badly myopic, with 20/400+ vision. Fortunately, with the correct lenses, my vision was correctable to 20/20. The only upside to needing glasses is that, with them off, I can examine small objects up close. I call it “microscopic vision.”

But it’s not really microscopic vision.

However, what I saw in my dorm room, surely looked like microscopic vision.

But that would be impossible. Wouldn’t it?

Inciting Incident

I used to run during cool summer nights in Kansas. That was when I noticed that if I looked at a bright white, round street light, without my glasses, I would see amazing patterns. The light itself and everything around me would be out of focus, but the complex patterns I could see in the image of the light were sharply defined.

The beautifully detailed, complex patterns a severely myopic person sees are caused by diffraction and interference of light as it passes through the imperfections within their own eyes. I did not know that then, but I do now.

Back in the mid-sixties, Tensor lamps made ideal study lamps. They weren’t cheap, but made ideal Christmas gifts for college students.

One evening, as I sat at the desk in my dorm room, I picked up a Bic pen, and as I looked at the pen to remove its cap, I noticed a light glare off the curved surface of the cap. The small but intense spot of light was from the Tensor light.

Experiment

The chain of thought that led to my next action would not be obvious to most people. But guided by the memory of the beautiful light patterns I had seen during my nighttime runs, I pulled off my glasses and stared at the reflected light spot as I slowly pulled that pen cap closer to my unaided and highly myopic eyeball.

What I saw was magical. It was a highly detailed image of the surface imperfections on the curved surface of that plastic pen cap.

To make sure I was not imagining things, I rummaged around in my messy desk drawer and found a straight pin. With that pin, I scratched the surface of the pen cap. Then I again pulled the cap to within a centimeter from my cornea.

I was looking at the Grand Canyon!

A sense of awe overtook me as I rotated and tilted the cap, mentally absorbing every detail of that chasm in plastic. I could scarcely believe what I was seeing.

Somehow, I had finally turned my eye into a microscope.

This had to be big news! I had seen the impossible.

After I gave up on the physics professor, I tried thinking of ways to industrialize and capitalize on my observation. All I needed was a large pool of myopic people sticking their almost-blind eyes danger-close to a conveyer belt of objects intended to be perfectly smooth.

Yeah, that would never happen.

After a few minutes of daydreaming, I returned to my studies.

But I never forgot about that event.

Revisitation

Recently, I pondered that event again. Since our set of Collier’s Encyclopedia was long ago contributed to a local library, I turned to the most convenient source of knowledge, the Internet.

ChatGPT told me I had essentially built a naked-eye deflectometer, converting microscopic slope changes into visible patterns. I was not actually focusing my eye on the pen-cap surface.

Well, my instincts were mostly correct. It was a microscope—without a conventional objective lens. And the image was an amplified version of the actual surface. Or at least a reasonable facsimile.

It sounds to me like we’re splitting hairs here.

So, I ask again. Is this a well-known phenomenon?

Well, not in the sense that it was, at the time, a familiar optical trick that every optics professor should immediately recognize. The underlying physics is now familiar to engineers, but my particular observation is unusual, or perhaps even unique.

For the past forty-five years optical engineers have routinely exploited the fact that tiny deformations in a glossy surface strongly distort a reflected highlight. The modern field is called deflectometry: rather than directly imaging a shiny surface, one observes how that surface redirects a reflected source or pattern. Slight changes in surface slope can become far more conspicuous than the physical defect itself.

A major review describes deflectometry as ranging from qualitative visual inspection to precision measurement of microscopic optical surfaces. Normally, deflectometry involves a camera, a screen or projected pattern, calibrated geometry, and computer reconstruction. And a price tag of thousands of dollars.

Unwittingly, I had replaced all of that with a lamp, a curved piece of plastic, a pupil and a highly myopic eyeball.

Sometimes, ignorance really is bliss.

Engineering History

The optical principle underlying specular-surface deflectometry can be traced at least to Léon Foucault’s 1858 knife-edge test of reflecting mirrors. The term “moiré deflectometry” appears explicitly in optical literature by 1981, in work by Oded Kafri and A. Livnat[1].

That was fifteen years after I reported my self-experimentation to a Georgia Tech professor. The earliest automated industrial-quality-control application I have located is Lippincott and Stark’s 1982 optical-digital method for detecting dents and scratches on specular metal surfaces[2]. Apparently, none of the above authors were from Georgia Tech.

It looks like a Georgia Tech professor missed an historic opportunity.

Summary

The physical laws that produced my observation are now well known. The naked-eye manifestation is unusual, non-obvious, and apparently not a commonly described phenomenon.

Sadly, no one will ever make a buck off my observation. But it’s worth my mentioning in this blog post, just in case some future physics student asks a physics professor about a strange optical phenomenon they observed.

Instead of responding with a blank stare, that professor could wisely nod their head and say, “There was once this student who accidentally discovered the principle of deflectometry. Let me tell you about it.”

You cannot imagine how satisfying it is to finally get to scratch the curious itch that had been bothering me for sixty years.


[1] Oded Kafri and A. Livnat, “Reflective Surface Analysis Using Moiré Deflectometry,” Applied Optics 20, no. 18 (September 15, 1981): 3098–3100.

[2] Hugh W. Lippincott and Henry Stark, “Optical–Digital Detection of Dents and Scratches on Specular Metal Surfaces,” Applied Optics 21, no. 16 (1982): 2875–2881.

Simulated Mechanical Chaos. Toy or Teaching Tool?

For years, I had a wood and plastic mechanical chaos demonstrator sitting on the front of my desk in my Navy office. As I anticipated, visitors could not resist the urge to spin the wheels and watch the chaotic motion that ensued.

Depending on the context of the conversation, those spinning wheels could represent the harmony or disharmony between individuals, or departments within an organization, or between the head office and various departments. In my novels, I had one demonstrator sitting on the desk of the President of the United States, serving as a reminder of how normal behavior can turn into chaotic conflict without warning. POTUS would use it as an object lesson when dealing with Senators, Representatives, or Heads of State.

In other words, the toy demonstrates far more than the physics of a toy.

Chaos Simulation Concept

The concept behind the toy is as follows: Each three-spoked wheel sits atop a pin, thereby earning the name pinwheel. At the end of each spoke is a magnet. The magnets all have the same polarity exposed to the outer surface of the spoke. Therefore, as magnets from one wheel approach a magnet from the other wheel, there is a repulsive force applied to each spoke.

The user spins each wheel in whichever direction they wish: clockwise or counterclockwise. The amount of rotational force applied to each wheel’s hub determines how fast the wheels turn. At high rotational speed, the magnetic repulsion exerts little influence on the spinning wheels. But as the wheels slow down due to resistance within the pin and wheel hub contact point, the repulsive forces begin to exert an effect on the wheel’s rotation. Very quickly, that battle of the magnets devolves into chaos. The rotation of each wheel becomes unpredictable.

It is entertaining to watch. That is, as long as you don’t think too hard about the geopolitical implications.

Chaos Simulation

I have an innate desire to simulate things. If I can successfully simulate something in code, then I know I understand what’s going on. So, I attempted the Wheels simulation using Visual Basic. My code sort of worked, but after a minute or so of running, the simulated wheels would speed up until they were nothing but a blur.

The code obviously had issues.

Losing interest, I moved on to other, more successful simulation topics and forgot about the Wheels. Until ChatGPT came along. After giving GPT-5 a detailed prompt, the AI laid out 550 lines of HTML code. I was amazed.

The first time I ran that code with my Chrome browser, it worked. And after two days of tweaking the code to work exactly the way I wanted, it worked well enough to share.

Chaos Video

The following link is to the YouTube video which accompanies this blog post.

https://youtu.be/mKwyurn4sr4

YouTube Video Description

“A computer version of a mechanical Chaos Simulator was created in HTML code so it can be run from any popular web browser. It introduces Chaos Theory and is a model for the unpredictability of both interpersonal and geopolitical interactions.

Unlike the physical simulator it replaces, it is both quantitative and highly interactive. Thus, it is transformed from a toy to a teaching tool for high school introductory physics, or college-level, calculus-based classical mechanics lessons. The fact that it uses simulated magnetism to occasionally create a harmonic oscillator may also be of interest to junior-level Electricity and Magnetism students.”

The Result

      Baseline

For a baseline, the wheels have no magnets; i.e., no repulsive or attractive force generators. The mass of the magnet is present, but no magnetic fields are produced.

Both wheels are spun with the same impulse magnitude, but in opposite directions. The left wheel (wheel 1) is “spun” with a clockwise motion, and the right wheel is forced counterclockwise. After the initial impulse, no other spinning force is applied to the wheels. 

The wheels begin rotating with the same velocity. The gray line in the figure below is the line for zero angular velocity. The blue wheel spinning clockwise has, by convention, a positive angular velocity. The red wheel spinning counterclockwise has, by convention, a negative angular velocity.

Due to the effect of wheel hub friction (resistance), both wheels begin slowing down. After 50 seconds, the wheels are essentially still, approaching zero velocity.

Chaotic Repulsion

Now lets add magnetic fields to the ends of the spokes. Initially, the simulated magnets are oriented so that only repulsive forces are encountered as opposing magnets approach. However, the magnets do not make physical contact. Due to the strength of the magnetic fields, the magnets exert forces on each other from a distance.

Whenever a red or blue line approaches the central gray line, the respective wheel has essentially stopped momentarily. When the blue line descends below the gray line, the blue wheel has stopped moving clockwise and is moving counterclockwise. Likewise, when the red line rises above the gray zero line, the red wheel is moving clockwise, rather than its original counterclockwise motion.

The net result is chaotic movement.

The next figure captures the moment of magnetic (but not physical) contact between the opposing wheels. The oblique lines illustrate the repulsion force vectors, indicating angle and magnitude information about those vectors at that particular instant.

Teaching Tool

The more I played with the computer simulation, the more I discovered how sophisticated the model was and how useful the results were. On the one hand, it illustrates chaotic (unpredictable) behavior. As you might imagine, Chaos Theory is of considerable academic interest.

However, I quickly appreciated the sim’s potential for illustrating physics topics in Classical Mechanics. My aged library of freshman and sophomore college physics books contains calculus-based topics that are integral to the working of this model. Relevant examples range from force vectors to harmonic motion.

In Third-Year Electricity and Magnetism physics courses, the subject of magnetostatics covers boundary conditions on magnetic fields. That is relevant because within the Sim’s HTML code, a very simple implementation of changing magnetic field locality, is invoked. Although for simplicity, the magnets are considered as point sources, the extent of the magnetic fields is variable, encoded within the program’s code. Since the code is HTML, altering it to suit the user’s needs is trivial.

Force model: F = repulsive*exp(-kR*(d - d0)) - attractive*exp(-kA*(d - d0))
const kR = 0.01; // repulsion locality
const kA = 0.02; // attraction more spread-out

At the undergraduate level, these topics require calculus to adequately understand them. Indeed, looking at the constantly varying shape of the angular velocity plots produced by the simulation, the invocation of calculus is obvious. However, even when using algebra in a high school physics class, the simulation should still be a useful tool.

Physics Curricula

The following table illustrates where the topic of classical mechanics is typically distributed throughout the physics education curriculum. Within each educational topic, it is my opinion that the magnetic pinwheel simulator has a teaching role.

TopicHigh School (Intro)University Physics IAdvanced Undergraduate / Graduate
Force & Vectors 
Inertia 
Momentum & Impulse 
Torque
Rotational Velocity
Harmonic Oscillator

The Unexpected Harmonic Oscillator

One of the delights of simulation is that the unexpected will occasionally appear. The fun part is figuring out why the unexpected happened.

A case in point follows.

When preparing the downloaded HTML code, nullify the repulsive force slider, maximize the attractive force slider, maximize hub resistance (friction coefficient), and set a moderate initial transient impulse on wheel 1. Set the initial transient wheel 2 impulse at about 60% of wheel 1. Select clockwise initial rotation for wheel 1 and counterclockwise rotation for wheel 2.

The result is remarkably different from the simulations with high repulsion forces. There is no chaos, per se, but a rapid decrease in rotational velocity as a result of the intermittent attraction forces between close magnets and hub resistance. When two magnets become magnetically bonded to each other, wheel motion transitions to that of a damped harmonic oscillator.

Curiously, the nature of the oscillation is probabilistic. About a third of the time, the two wheels oscillate in phase, a third, 180° out of phase, and another third, with no oscillation at all.

I’ll leave it to the interested reader to ponder why the oscillations seem less damped than the non-oscillatory movement.

Download

If you wish to try this simulator, the HTML code can be downloaded here in the form of a zip file. As always, be sure to check your download with a virus checker before running the code on a web browser like Chrome.

Here is a link to a zip file containing the HTML code for running in your browser.

Also, it’s a good habit to inspect any downloaded HTML code with a text editor like Notepad or Notepad++ to confirm it is harmless.

Questions?

As always, if you have questions, I can be contacted at john@johnclarkeonline.com.

Verified by ExactMetrics