I want to simulate 2D TM scattered fields (microwave range) for austria profile. Austria profile has 2 circles beside each other of certain dielectric and one ring below the circles. So basically I have three dielectric objects in the domain of interest and also positions of Tx and Rx are known...
Seems gravity waves are longitudinal waves, similar to sound waves as it is produced by the vibrations of spacetime? So in theory, if we can produce a powerful enough gravity wave, can we hear it?
G-waves are usually produced by merging binary neutron stars or black holes. These celestial...
I’ve seen the description of electrons around an atom as existing as standing waves with different harmonics corresponding to different energy levels.
The atom is evidently 3-dimensional, and the wave function of an electron must also be in terms if 3 spatial coordinates.
What mathematical...
Homework Statement: Two identical audio speakers, connected to the same amplifier, produce monochromatic sound waves with a frequency that can be varied between 300 and 600 Hz. The speed of the sound is 340 m/s. You find that, where you are standing, you hear minimum intensity sound
a) Explain...
Dear all,
"Why do air molecules start to oscillate and influence each other such that a wave is forming when you hit e.g. a drum?"
High school students asked me this, thinking the air molecules collide like marbles, creating a longitudinal wave. How would you explain this interaction-wise? Any...
Homework Statement: A radio station on the surface of the Earth radiates a sinusoidal wave with an average total power of 50 kw. Assuming that the transmitter radiates equally in all the directions above the ground, at a distance of 100 km from the antenna (ε0 = 8.85 10-12 C2N-1m-2)
Homework...
Homework Statement: In the attached image.
Homework Equations: formulas of fringe width and phase differences I think.
It has been a long time since I have dealt with these kinds of interference/fringewidth problem, I can't figure out a way to start solving this problem. I was thinking about...
I cannot find the correct answer anywhere online and the answer I keep getting is 5.4 (incorrect)
Please show me the process to get to the answer! Thank you
Is it fair to say that all energy from a Gravitational Wave that enters the photon sphere of a Black Hole is destine to become part of that BH?
And other parts that remain just outside of the photon sphere would experience gravitational lensing? Perhaps focusing the GW to an area of much...
Problem Statement: 1) The wavelength of an electromagnetic wave after reflection at angle on a surface
[A]. remains same as the wavelength perpendicular to the surface
.
remains same in the free space @
[C]. increases in actual direction of propagation
[D]. decreases in actual direction of...
When an object is hot its particles are moving faster than when is cold, right?
I've searched that particles are electrons and protons, so it means that if we warm a object the electrons will be moving or even accelerating. Every charge accelerated creates Electromagnetic Waves (or light)...
I am trying to learn about the dispersion of waves and used one of Walter Lewin's lectures (see below) as a source. I understand phase and group velocity and dispersion relations, but I don't understand when/what kinds of waves are prone to dispersion.
For example, a simple wave in the form...
Can you transmit em wave with antenna much smaller than its wavelength? For example. ELF antenna is very long. Can you make one small enough to fit in the pocket by the device constructing the long wavelength part by part?
There are many fluid dynamics applications such as pipe flows, jet flows, boundary layers where we ignore any sound waves present in the system. I don't understand this though, because all sound waves are caused by pressure disturbances so why can we ignore these pressure disturbances when we...
Electromagnetic waves are oscillations of the electrical/magnetic field which propogate through space. So one might predict that the presence of a magnet/charged particle would effect their propogation somehow, like distortion or interference (eg, light might get refracted in a magnetic field or...
I don't know in which category this subject belongs to. Anyways, here it is:
https://www.sciencealert.com/a-new-study-backs-up-claims-that-sound-waves-really-do-have-mass-after-all?fbclid=IwAR2Cmsxm_Garm0PVn03f4UxVQ8adcK4Il3A_N7bUbJT1KaGR1ZfCbGuWVLE
How exactly is this measured? Can we expect...
I wonder why electromagnetic waves don't escape from a black hole while gravitational waves (obviously) do.
What is the difference between the two kind of waves?
And between gravitons and photons?
thank you for your attention
I am reading the following paper on the basic physics of a binary black hole merger: https://arxiv.org/ftp/arxiv/papers/1608/1608.01940.pdf
Imagine two black holes orbiting each other until a point they merge.
As you can see in Figure 1, the wave period is decreasing and thus the frequency...
Gravitational waves are produced by accelerating masses. Since all space is curved -- more curved near large masses stars, less curved in intergalactic space -- all moving masses are being accelerated to some degree. Do all moving masses therefore produce gravitational waves? If they do, will...
Two black holes that are orbiting and collide give off mass in the form of gravitational waves before the collision. Do these waves get absorbed by something, or is this mass lost to the universe?
hi, when we try to find the speed of a wave on a rope v = (F/u)^1/2, we use the fact that if the angles are small then sin x = x. I understand the approximation but not WHY we use the approximation. We say delta(Theta) is small (and then amplitude is small) then ... . So the proof is only...
Light is said to consist of photons or electromagnetic waves.
I'm not asking which view is correct, what conditions make one
view or the other more useful, or advantages and disadvantages
of each view. I am assuming the two views are compatible to
the extent that the wave character of light can...
Part C.
First of all, I am not entirely sure what the problem means by "loops." (I see the loops, duh ;)) but I am not sure what quantity they represent. I am guessing it means harmonics, in which case M would have to be lessened to make a greater wavelength. This is because the extension of...
I'm not an expert in this matter, and at best only aware of some superficial facts and a layman's understanding of them. So please forgive me for any ignorant mistakes in my thoughts, and kindly point them out to me.
Going by the Lambda-CDM model, the expansion of the Universe will eventually...
First I worked out the dispersion relations, which is pretty easy:
##M \ddot x_j = K x_{j-1} + K x_{j+1} - 2K x_j -mg \frac {x_j} {l} ## (All t-derivatives)
We know ##x_j## will be in the form ##Ae^{ijka}e^{-i\omega t}##
so the above becomes:
## -\omega^2M = K (e^{-ika}+e^{ika}-2)-\frac {g}...
A couple of questions on this. How would the sound get reflected back from the surface of the water? And therefore create a stationary wave would the sound not travel though the water at a faster speed then reflect back and intefere? Or does a small amount of the sound reflect back? Part B...
I have a basic understanding of Huygens principle, but I don't quite understand why sound waves follow huygens principle.
When sound travels, particles travel back and fourth in one direction, so how do sound waves end up traveling in all directions after traveling through a slit?
Do sound...
Hi, I'm looking for a book that deals with the mathematics and the physics of waves (sound waves, electromagnetic waves, maybe optics). Basically just "classical waves" (I'm not very interested right know in the applications to quantum mechanics). My math background is (courses that I took)...
I've seen this video:
There it is explained that an electromagnetic (here radio) wave has a phase shift if it was radiated in horizontal polarization, but it does not experience the phase shift when it was emitted vertically polarized when it gets reflected on the ground.
When reading up on...
I am a high school teacher and we were discussing waves and electricity in class today. One of my students asked me if electricity is a longitudinal wave or not and I had no idea how to answer.
So, I realize that electric fields are what drive electrons to move through conducting wires, but...
If I am given the width of the slit (b), wavelength of the light (λ), and the distance of the slit from the screen (D), how can I find the width of the central maximum (d)? My book says d/2=Dλ/b, but with no explanation and I don't understand why. Where does this formula come from?
Thank you...
We know that the charge on capacitors as a function of time takes the general form of:
##Q(x,t)=qe^{ijka}e^{-i\omega t}##
The voltage at each capacitor:
##V_j = \frac 1 C (Q_j-Q_{i+1})##
From KVL we have differential equation of t-derivatives:
##LQ'' + RQ' = V_{j-1} - V_{j}##
##LQ''+RQ'= \frac...
A few years go, we detected a gravity chirp from the collapse of binary black holes.
The initial total mass was about 21.7 solar masses. The end result was about 20.8 solar masses.
The difference was presumably contained in the gravity wave.
I believe, under the right conditions, an object...
Again I am really confused, but I just put the traveling wave as:
##\psi(x,t) = Dcos(kx- \omega t)## for positive x
##\psi(x,t) = Dcos(kx+ \omega t)## for positive x
Then I simply differentiated and plugged in ##x=0##
##F(t) = - T D k sin(\omega t)##
and from this
## \langle P \rangle = T D^2 k...
I learned that standing waves form when the incident wave's frequency is equivalent to the reflected wave's frequency. But I also learned that according to Newton's 3rd law, when a wave hits a boundary, the reflected wave continues to travel in the opposite direction but has equal frequency and...
Basically as the title says.
I'm interested in the naturally occurring EM waves, and I would like to know the strongest EM waves out there. I'm not talking about "strong" as in energy per photon that is proportional to the frequency, but about the overall energy transported by the wave that is...
Outside of QM, do perfectly linear waves really exist in nature? I am referring to just those waves that also have dispersion - in which the wave components have differing phase velocities.
... or are we just using the mathematics of linear systems to approximate nonlinear systems?
Thanks in...
Or both?
The cycling between 'stretch' and 'squeeze' is caused by the orientation changing of the black holes with respect to us. Correct?
This is understood as waves (or pulses) moving through space, Correct? So they take time to get to us.
So, consider the orientation which yields us being...
From what I have read gravitational waves are caused by the acceleration of massive object causing ripples in space time. What specifically causes this, and how does general relativity predict these. Does it have to be a high density of matter, or a large amount of it. How do these waves affect...
Good day,
I do not fully understand the physical mechanism of formation of Rayleigh waves at the free surface. While their derivation is quite clear and obey free-boundary conditions, it is not clear their physical mechanism.
Could you please correct me in my discussion. Incident P-wave can...
Since light intensity is proportional to the amplitude of the EM wave, and wave amplitudes undulate up and down, does this result in natural intensity flickering of observed light?
For visible light, the frequency is extremely high, but it might be more easily observable in ELF waves.
My textbook explained that it would be hard to see the wavelength properties of a tennis ball because we would have to find a very tiny slit in which to pass the tennis ball through. The wavelength of the tennis ball can be calculated using debroglie formula: wavelength = h/p
I was wondering if...