I Can Meet with Dead Scientists

"If light rays are particles, then their refraction can be precisely calculated, the next day's calculation comprised over five thousand three hundred groups, the constant obtained is approximately..."

"Between one and one-quarter to one and one-third...."

Seeing this.

Xu Yun couldn't help but bite down hard on his back teeth, trying to maintain his composure.

Yet despite this, his fingers continued to tremble slightly.

The reason is none other than because of Old Jia and others...

They really did an amazing job this time.

It is well known.

In Fourier optics, spherical and planar waves can represent any complex wave.

Complex function = a DC zero-level Fourier term + higher-order Fourier terms.

Which means.

Spherical and planar waves are the fundamental solutions to the wave equation.

Among them, the complex amplitude of a planar wave can be represented as aexp[jk(xcosα+ycosβ+zcosγ)].

cosα²+cosβ²+cosγ²=1, this is the direction cosine of a planar wave.

Based on this, one can derive the inclination factor K(θ) in Kirchhoff's diffraction theory.

Of course.

The deeper reason is because the forward-moving wave, each point in front can be seen as a source of secondary waves.

The envelope surface of different secondary wave sources becomes the next new wavefront.

θ is the angle between the position direction and the wavefront normal, involving the wave nature of light.

Very simple and easy to understand.

In conclusion.

If the Kirchhoff theory describing the coherent superposition of spherical secondary waves is called the spherical wave theory of diffraction.

Then the angular spectrum theory is the planar wave theory of diffraction.

Initially, Kirchhoff's calculations were done through vectors, using mathematical tools like integrals and Green's theorem.

At that time, the field of mathematics was becoming quite refined, at least there was no talk of mathematical crises or the collapse of the mathematical edifice.

While Old Jia and the others' calculation method is much more "simplistic":

It was by locking down the interval through exhaustive comparison in a triangular manner, then using the most primitive Jia Xian triangle binomial for calculation.

As for the core idea of this algorithm...

Of course, it's the microscopic theory proposed by Old Su.

According to the manuscripts of Old Jia and others, although they did not realize the wave-particle duality of light, they conceived the idea of segmenting light:

They divided the refraction region into countless minute parts, extracted five or six segments with significant refraction, and used them to calculate the tangent.

This method is theoretically feasible.

But if there are only a few data points, the calculated deviation can be quite large.

So in order to reduce this error, Old Jia and the others used Jia Xian (Yang Hui) triangle's binomial remainder division, then continued to.....

Classify and sum all the data.

Or more precisely, hand calculate the classifications.

And the quantity of classified data is the aforementioned...

Over five thousand three hundred groups.

This is undoubtedly a very large amount of calculations, especially for this elderly group in front of them, who might need to spend more energy to persist.

As for what that 1.x value implies?

Let's put it this way.

As long as further inductive statistics can be performed.

The half-wave band method and such, whether or not it can reveal opportunities, deriving the formula f=(l^2-d^2)/4l is still quite easy.

Once this formula is derived, the only limitation to lens grinding is the industrial hardware level.

Friends who have studied optical physics should know.

The earliest in the West was the Huygens-Fresnel principle, which was Xu Yun's initial goal, involving scalar issues.

Actually, the Huygens-Fresnel principle is not a strictly theoretical product, it's mostly derived from simple intuition.

So why "all secondary wavefront overlaps are just taking their envelope" is unclear, but it can serve as a lead.

Again, in some cases, incomplete concepts in an ancient context can be more convenient and easier to understand.

But Xu Yun did not expect.

After days of arduous calculation, Old Jia and the others.

Actually touched upon the fourth layer he mentioned before, which is the concept in Maxwell's realm!

Indeed.

Old Jia and the others only made a very small touch into this field, there's still a long way ahead.

Like in the national higher education exam, you unexpectedly solve the last math problem everyone couldn't solve through a certain formula.

But besides that, you can't solve any other math problems, and every subject scores only in the twenties or thirties.

Therefore, from a knowledge structure perspective, solving this problem is essentially useless, you can't even make it into a vocational school.

To truly grasp the related concepts, you need to study minimum light path, half-wave band method, perturbation contribution expressions, and many other things.

But on the other hand.

You have indeed solved that problem, a problem many graduates couldn't solve, designed by the exam committee member Grandpa Ge x just for challenge.

This is an achievement that cannot be overlooked and has a certain real-world value:

In such a topical context, as long as you want, you could open a self-media account to make some money, whether you earn little or a lot.

So that's the situation for Old Jia and the others:

They have this "topic heat," but it's unclear how much value they can create.

Under normal circumstances, Old Jia and others would most likely just be a flash in the pan, like the one who said "Hang High People have no difficult exam paper" Lin Huan.

But the issue is....

Do not forget, Old Jia and their group have Xu Yun, this talented individual, nearby.

Who knows if today's spark could become tomorrow's sun?

Thinking this.

Xu Yun's emotions surged once again.

From the capabilities shown by Old Jia and others, their recognition of knowledge clearly exceeded his expectations.

In native history.

Kirchhoff's diffraction theory wouldn't be formally proposed or completed until the late nineteenth century.

Today is the year 1100 AD, though it is the twelfth century AD, the timeline is merely at the intersection of two worlds.

Therefore, one could say.

Old Jia and their team are ahead of Europe by a full 863 years, first proposing partial concepts of lens diffraction!

Lens diffraction.

This is a very elastic field.

It could be unnoticed, or it could have an extremely profound impact.

Xu Yun doesn't know what impact it will have on Huaxia's history in this timeline, but at least he is sure.....

Telescope and microscope, can now start preparing.

....

Note:

More to come later, asking for monthly votes!!!!!