# The relation between photons and waves

• Joao
In summary, photons do not surf on EM waves and are instead the packets of energy that make up EM waves. When an EM wave hits a surface, these packets of energy transfer a fixed amount of energy, with the wavelength of the wave determining the energy of each packet. The prism splits the wave into its component waves by sending them in different directions based on their different frequencies.
Joao
Hi everyone! Sorry for the bad English!

Please, I learned that a wave is something the photons "surf" on, like, in one electromagnetic wave, can have many photons.

So, is this true? Like, I though that one gamma ray and an infrared photon would ride different waves...

More: the light from the sun is white, after goes to a prism it became the rainbow... Soooo... was the wavelength of the different colors "all together" in the solar light? Or did the prism changed the wavelength to many other kinds of wavelength, corresponding to the other colors?

I'm a little lost here, I guess I can't even make my questions clear! Hehehehehe

Thanks!

Joao said:
Please, I learned that a wave is something the photons "surf" on, like, in one electromagnetic wave, can have many photons.

So, is this true? Like, I though that one gamma ray and an infrared photon would ride different waves...

Photons do not surf on EM waves. This is a widespread misconception.

Imagine you have an EM wave hitting a surface. This EM wave will have an intensity that describes how much energy it delivers to any particular area of the surface. Let's say one of these areas is 1 square meter in surface area. Let's also say that our EM wave delivers 1 Joule of energy to this surface per second and that the wavelength of our wave is 1000nm.

If we look closely with the right instruments and experiments, we discover that during any 1 second interval this energy is not being delivered evenly over the surface or over time. Instead we discover that the energy is being delivered in tiny individual "packets" of equal energy, meaning that every time energy is transferred from the EM wave to the surface a fixed amount is transferred all at once to a particular location (so it's not spread out over the surface). This is an incredible discovery! It means that EM waves do not behave like "classical" theory describes it!

Knowing this, we do more experiments with different frequencies and crunch some numbers to discover that the energy in each "packet" is described by the equation ##e=\frac{hc}{λ}##, where ##h## is a constant equal to about 6.626×10−34, ##c## is the speed of light, about 3x108m/s, and ##λ## is the wavelength of the wave in meters.

So for our original wave, each "packet" delivers ##e=\frac{(6.626*10^{-34})(3*10^8}{10^{-6})} = 2*10^{-19} ## joules worth of energy. Truly a tiny amount. Since our wave transfers 1 joule per second to our surface, there are about 5x10^18 of these packets hitting the surface every second. This is so many packets hitting the surface that most spots only go a short amount of time between absorbing a packet. But if we reduced the energy of our EM wave to very tiny levels, we would find that only one or two packets are absorbed by the entire surface each second. It would be like a Geiger counter where you can pick out each individual click and clack.

If we were to use the wavelength of a gamma ray EM wave and keep the energy of the wave at 1 joule per second, we would get about 1.5x1014 packets per second, or about 33,000 times fewer packets at this shorter wavelength.

Furthermore, once we do more experiments and crunch more numbers, we discover various other odd things about these "packets". They have momentum, spin, and several other properties that are used to describe particles, despite the fact that they aren't like tiny little balls riding on an EM wave. In fact, we can't even say that these packets move in straight lines like a baseball traveling through the air. All we know is that, given some area on a surface and an EM wave, any particular spot in this area has some chance of having one of the packets transfer energy to it every second. What these packets are doing prior to being absorbed is unknown. (If this sounds odd, don't worry. It's very confusing when you first hear about it)

Since the packets have properties similar to other fundamental particles, and because doing so makes it convenient for us to talk about them, we decide to give them the name photons. They are not "surfing" or "riding" an EM wave at all. Without getting too deeply into the philosophical and technical details, they are the EM wave.

Joao said:
More: the light from the sun is white, after goes to a prism it became the rainbow... Soooo... was the wavelength of the different colors "all together" in the solar light? Or did the prism changed the wavelength to many other kinds of wavelength, corresponding to the other colors?

That's a bit complicated to explain. The different frequencies all add together to form one wave of varying frequency and the prism splits this wave back into its component waves by sending them in different directions. The adding together of different waves is known as superposition.

pixel, Joao, davenn and 1 other person
Thanks a lot! Really! I had a very wrong idea of what a photon was! You really helped me a lot! Your explanation makes a lot of sense! =)

Joao said:
I had a very wrong idea of what a photon was
Haha. You are not alone in that. The problem is that they are not 'like' anything. They are what they are and sometimes they are seen to behave like a lot of different things. You can only rely on treating them as something special - except when some well founded explanation shows a photon to behave in a certain way (but only in that particular case).

If a photon is a wave, the photon, traveling in the wavelike pattern moving through space at the speed of light, means that the photon is in fact moving faster than the speed of light. Imagine a photon, X, goes from point A to point B (a distance of 300,000 km) in 1 second; and depending on the type, gamma, radio, blue light, whatever, it moves in the wavelike pattern of that type of wave with its frequency/amplitude, but it's not straight. So the actual distance the "photon" traveled is much more than the 300,000 km, because the amplitude of the "wave" is up and down, not straight ahead; but the photon reaches point B after 1 second; but it traveled more than the 300,000 km because we must take into account the up and down distance as well as the linear distance. Crazy as it sounds, it looks like photons travel faster than the speed of light. The wave, regardless of type leaves point A and reaches point B after 1 second, frequency greater or less, amplitude greater or less, energy level greater or less, but the wave passes through the 300,000 km in 1 second. If it is really a photon, it's traveling faster than the speed of light!

peretz said:
Imagine a photon, X, goes from point A to point B (a distance of 300,000 km) in 1 second; and depending on the type, gamma, radio, blue light, whatever, it moves in the wavelike pattern of that type of wave with its frequency/amplitude, but it's not straight.

This is not correct. A photon does not travel in an "up and down" pattern. The electric field vectors (the "arrows") do not represent physical motion. They are mathematical representations of the strength of the field at a point in space and the direction of the force a charged particle at that point would feel. The magnetic field vectors represent something similar. Nothing is physically moving up and down, side to side, or any other direction.

The photon moves from point A to point B. How? Answer above is that it is not "surfing" the wave, it is the wave.

Drakkith said:
A photon does not travel in an "up and down" pattern.
And even if it did, "C" is the speed of the wave front, period. The idea that the transverse (or even longitudinal) motion of a wave - any wave - is considered a component of the wave speed is wrong.

Drakkith
peretz said:
The photon moves from point A to point B. How? Answer above is that it is not "surfing" the wave, it is the wave.
That's not right either. Although there is no really good non-mathematical description of what a photon does, you'd be better off giving up on the idea that it moves at all.

If you can get hold of Feynman's book "QED: The strange theory of light and matter", it's a very good layman-friendly description of photons behave. It's nothing like what you're thinking.

Thanks to both of you

peretz said:
The photon moves from point A to point B. How? Answer above is that it is not "surfing" the wave, it is the wave.

The answer above should not be taken to mean that a photon travels from point A to point B by any particular path. In quantum theory (which is the theory that describes photons), a photon can't even be said to have a particular path. The thing with photons is that they are NOT tiny "bullets" that move from A to B like a classical particle does. They are so different from anything that you've ever encountered that I don't even think there's a good, accurate, non-mathematical description of their behavior. Even my explanation above that photons are the EM wave is an extreme simplification that is only vaguely accurate.

## 1. What is the relationship between photons and waves?

The relationship between photons and waves is that photons are the smallest unit or packet of energy associated with an electromagnetic wave. This means that all waves, including light, are made up of tiny packets of energy called photons.

## 2. How are photons and waves related to the properties of light?

Photons and waves are both important in understanding the properties of light. Photons are responsible for the particle-like behavior of light, such as its ability to transfer energy and momentum. Waves, on the other hand, explain the wave-like behavior of light, such as its ability to diffract and interfere.

## 3. Can photons behave as both particles and waves?

Yes, photons can behave as both particles and waves, depending on the experiment being conducted. This is known as wave-particle duality and is one of the fundamental principles of quantum mechanics.

## 4. How does the energy of a photon relate to the frequency of a wave?

The energy of a photon is directly proportional to the frequency of the wave it is associated with. This means that higher frequency waves, such as gamma rays, have more energetic photons compared to lower frequency waves, such as radio waves.

## 5. How do photons and waves interact with matter?

Photons and waves interact with matter in different ways. Waves can be reflected, refracted, or diffracted by matter. Photons, on the other hand, can be absorbed or emitted by matter, causing changes in the energy level of the atoms or molecules they interact with.

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