Can sufficiently energetic EM waves of a specific frequency affect weaker EM waves of a different frequency?
Can sufficiently energetic EM waves of a specific frequency affect weaker EM waves of a different frequency?
My initial thought is "no," since our eyes, being receivers for specific wavelengths of EM radiation, can't see frequencies like infrared, no matter how bright. Likewise, my cell phone's WiFi and cell modules don't conflict with each other (as far as this layperson can tell, anyway).
But if, for example, infrared were sufficiently bright/energetic, could it affect neighboring frequencies, like reds?
It depends on whether the light is within a medium or just in vacuum. Afaik light in vacuum behaves entirely linear (so waves of different frequencies don't interact). But there are materials where light does indeed interact with light of different frequencies. One effect like this is so-called four-wave mixing.
In general you can take a look at non linear optics
I will! Thank you! Also, it's super fun that there's exceptions based on the medium; I had no idea. I was picturing air or vacuum when I conceived of the original question, so now I have other things to look into!
I second the other poster’s suggestion to look into nonlinear optics. A really common application is frequency doubling, also known as second harmonic generation, which doubles the energy of the photons. So an 800 nm laser (red) can be converted to 400 nm (green) with this method.
The National Ignition Facility (NIF) actually uses frequency tripling of the laser pulses right before they enter the target chamber. That’s pretty wild, I had intended to look up NIF to give a high profile example of second harmonic generation, I hadn’t realized they were actually doing third harmonics.
Another optics-based phenomenon that I think maybe strays too far from the intent of your initial question, but is too cool not to share, is laser Wakefield acceleration. A very high power laser pulse will push electrons out of its path in plasma or materials via the ponderomotive force. This charge separation creates electric field gradients on the order of billions of volts per centimeter, which can accelerate electrons or other charged particles to relativistic energies. So you can start with a green laser pulse and wind up producing gamma-ray beams, either by slamming the electrons into a stopping material or by Compton scattering other low energy photons off the relativistic electrons.
No, because frequency is a fundamental quality of a wave. Things that are affected by one frequency could also be affected by another in certain cases (such as when two frequencies are integer multiples), but the waves themselves will never affect each other.
As an analogy, imagine playing a specific note on a flute. It doesn't matter how many other notes you play, that original note will always be there alongside the others.
Thanks for the analogy! It's pretty easy to understand how that works. I think I was imagining that EM waves shared some qualities with mechanical waves like sound, but I suppose that's not the case!
It all depends on what you mean by affect. Two em waves in the same space will have a different overall amplitude at any frequency.
If you mean as in the overall color of light, that will change based on how much/what frequency waves are combined. Think about adding a bit of black sand to a jar of white sand -- from a distance it will appear grey but the actual colors of individual grains of sand (frequency of "individual" em waves) won't change.
For wifi, data transmission is via phase modulation of the em wave, so the signal is resilient against adding different frequencies/amplitudes but may suffer if the same frequency is transmitted at a different phase.
from a distance it will appear grey but the actual colors of individual grains of sand (frequency of "individual" em waves) won't change.
So to a sufficiently tuned and sensitive receiver, if I understand correctly, it would be trivial to distinguish between the two. That makes sense.
I'm late to this, but I'd like to bring up something I haven't seen anyone else mention. But first, some more details regarding what has been discussed:
In most situations, it's correct to say that EM waves basically don't interact with one another. You can cross two laser beams, and they'll just continue on their way without caring that the other one was present. A mathematically equivalent scenario is waves on a string: the propagation of a wave isn't affected by the propagation of another, even when they overlap. Another way to put this is that they obey the principle of superposition: the total amplitude at any given point on the string is just the sum of the amplitudes of the individual waves at that point. You may want to argue that the waves do interact because there are interference effects, but interference is exactly what you get when they don't interact, i.e. when the principle of superposition holds.
However, this is only true for so-called linear systems. I won't go delve too deep into the math of what this means, but I think looking at the wave on a string example can give you some intuition. The behavior of waves on a string can be explained mathematically by treating the string as a large number of tiny points connected by springs. If the force on a given point by a neighboring spring is directly proportional (i.e. linear) to the spring displacement (Hooke's law), then you find that the entire system obeys the wave equation, which is a linear equation. This is the idealized model of a string, and the principle of superposition holds for it perfectly. If, however, the forces acting on points within the string have a non-linear dependence on displacement, then the equation describing the overall motion of the string will be non-linear and the principle of superposition will no longer hold perfectly. In such a case, two propagating waves could interact with one another as the properties of the wave medium (the "stretchiness" of the string) would be influenced by the presence of a wave. In other words, the stretchiness of the string would change depending on how much it's stretched (e.g. if a wave is propagating on it), and the stretchiness influences the propagation of waves.
Something analogous can happen with EM waves, and has been mentioned by others. In so-called non-linear media, the electromagnetic wave equation becomes non-linear and two beams of light (propagating EM waves) can influence one another through the medium. This makes sense when you consider that the optical properties of a material can be changed, even just temporarily*, when enough light is passed through it (for example, by influencing the state of the electrons in the material). It makes sense then that this modification to the optical properties of the material would influence the propagation of other waves through it. In the string example, this is analogous to the string itself being modified by the presence of a wave (even just temporarily) and thereby influencing the propagation of other waves. Such effects require sufficiently large wave amplitudes to be noticeable, i.e. the intensity of the light needs to be high enough to appreciably modify the medium.
What about the case of light propagating in a vacuum? If the vacuum itself is the medium, surely it can't be altered and no non-linear effects could arise, right? In classical electromagnetism (Maxwell's equations), this is true. But within quantum electrodynamics (QED), it is possible for the vacuum itself to become non-linear when the strength of the electromagnetic field is great enough. This is known as the Schwinger limit, and reaching it requires extremely high field strengths, orders of magnitude higher than what we can currently achieve with any laser.
*I want to emphasize that we're not necessarily talking about permanent changes to the medium. In the case of waves on a string for example, the string doesn't need to be stretched to the point of permanent deformation; non-permanent changes to its stretchiness are sufficient.
The superposition principle says "no".
What about if an em wave had enough energy to create a black hole 🤔