What is Interference: Definition and 999 Discussions
In physics, interference is a phenomenon in which two waves superpose to form a resultant wave of greater, lower, or the same amplitude. Constructive and destructive interference result from the interaction of waves that are correlated or coherent with each other, either because they come from the same source or because they have the same or nearly the same frequency. Interference effects can be observed with all types of waves, for example, light, radio, acoustic, surface water waves, gravity waves, or matter waves. The resulting images or graphs are called interferograms.
I explained that Huygens principle states that each point on the wave front act as a point source which produces spherical waves which produce the interference pattern.
Now his question is that where are these points and wouldn't there be infinite number of points on each wave front creating...
I have been preparing for a physics practical on diffraction. More specifically, we will use a CD as a transmission grating (by peeling off the reflective layer), and measure the distance between the fringes for a specific distance between the CD and the viewing wall. However, it is unclear...
For my High School Physics course, I have been tasked to design an experiment investigating the properties of a CD diffraction grating, and we MUST make a graph. Unfortunately, we only have two lasers of different wavelength, so changing the wavelength and measuring ##theta## would be a bad...
Most sources I come across on the topic of photon interference focus on the phase differences, but neglect discussion on the wave amplitude. Wave amplitude diminishes with distance; a single photon's energy does not.
So in a double slit experiment with photons being emitted one at a time, if...
For instance, consider two sources of light ##S_{1}## and ##S_{2}## where ##S_{1}## is emitting with a phase angle ##\frac{\pi}{4}## greater than ##S_{2}##. The light from ##S_{1}## travels a straight distance ##d_{1}## through a medium of refractive index ##n_{1}##. The light from ##S_{2}##...
I have long been puzzled by the colors of bird feathers and butterflies. They are mostly attributed to interference in microscopic structures, not dyes, yet do not display the typical change of color with viewing angle of interference colors. Why? There are a few exceptions; some butterfly spots...
I already have the solution in front of me, I am wondering why there is a difference in the formula for path difference. I've attached the problem as well to show the Figure.
What I am struggling to grasp is why the path difference for the angles closer to A is dsin(Θ) = (m+1/4)λ while the path...
Hello! I am a bit confused by the formula for light intensity in the case of interference. In the books and online resources that I read, this is given as: $$I = I_0 \cos^2(\frac{\pi d \sin \theta}{\lambda})$$ where ##d## is the distance between the slits, ##\lambda## is the wavelength of the...
I have encountered the following definition of interference:
Interference is a wave phenomenon in which two or more waves from coherent sources meet and superpose to form a resultant wave such that the amplitude of the resultant wave at any point is the vector sum of the amplitudes of the...
I wasn't sure what to do, so I started with equation (1) and used it to derive the power spectral density at point Q, $$ \begin{align} \tilde G (Q,\nu) = ~ & K_1^2 G(P_1,\nu)+K_2 ^2 G(P_2,\nu) \nonumber \\ & + 2 K_1 K_2 \left| \tilde G (P_1,P_2,\nu) \right| \cos \left[ 2 \pi \nu \frac {r_2-r_1}...
I'm having trouble understanding what it's asking me. "Calculate the angles at which the nodal lines in the pattern are located far from the sources." I assume they are very far away, making lines PnS1 and PnC parallel. Is the question asking me to calculate θ' in the example?
"nodal lines"...
I get that a single (optical) pulse is a superposition of continuous frequency components of its spectrum, but I'm a bit confused how Fabry-Perot interference can be interpreted in time domain.
In a single-frequency explanation, the idea is that the incident wave goes through multiple...
The green ray is moved upwards for clarity, they are all on same x-axis with no y component.
Theres a phaseshift at both reflections of the green light because n1 and n3 are > n2.
This results in a complete wavelength phaseshift, aka no impact on the wave.
That means that only the extra travel...
Two waves are linearly polarized. The electric field of one wave is aligned with the x-axis and the other is aligned with the y-axis. In the absence of matter that might change the polarization, can these waves interfere with each other?
It seems to be quite difficult to find information on this phenomena, although there are a couple cases of people asking about it. From what I understand, if downconverted light is sent through something to create interference such as a double-slit or Mach-Zehnder interferometer, there will be...
I have a question on how exactly polarizing filters would influence interference in a Mach-Zehnder interferometer.
To explain, I'll show some configurations and what I would expect to happen - please tell me if I am incorrect anywhere.
Here is the standard MZI configuration with no filters and...
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...
Starting from the simple case, there is a single wave ##e=a\cos(2\pi ft+\frac{2\pi}{\lambda}x+\phi_0)##, and integrate in such a way, where ##T_{eye}## stands for the response time of human eyes' response time towards energy change:
$$I=\int_{0}^{T_{eye}}e^2dt$$
The calculation includes...
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...
Hi all,
My first post on this forum. I couldn’t think of anywhere better to come than to here with a question I’ve had since a recent trip to Chernobyl!
Whilst visiting Pripyat I took several videos. Great care was taken to stay away from any contamination hot spots and we had an experienced...
Hello. I have a question. In the book I am reading, They derive the Ubs operator applied on a photon state with the beam splitter at a ratio of 50/50. A beam splitter that is used in the Mach-Zehnder interferometer.
I'm having a hard time deciphering whether the formula for beam splitter...
My question may include condensed matter physics concepts but my main question is related to quantum mechanics in general, that's why I posted it here.In fact I'm working on an condensed matter physics paper, where we are dealing with a two-metal system. The interface between the two metals is...
Can anybody explain why the bright and dark fringes exist during the the interference phenomenon from two coherent sources.. I wanted to know why that specific pattern occurs
How do I work out what m value (0, 1/2, 1 etc) to put in the thin film interference equations like 2nt = (m + 1/2)*lambda? Does it depend if it's constructive or destructive? Could someone help explain, thanks!
I'm confused by the phase shifts in a Mach-Zehnder interferometer because I keep finding two different explanations.
One explanation (for example, given on Wikipedia, but also elsewhere) states that on each reflection, the phase shift is 180 degrees, but only, if light is reflected from the...
I have heard that wavelike interference patterns are observed in the double slit experiment even when electrons are fired one by one.
https://physicsworld.com/a/the-double-slit-experiment/
My knowledge on the experimental setup is very basic. The reason I am posting here is out of curiosity...
Hi,
Is there an equation that gives you the number of interference fringes if you know the light wave length, size and separation of the slits, and length from the slits to the screen?
Hey all,
Here's a neat picture:
The green arrow points towards one of the submaxima that I am curious about. It's the submaximum of the curve labeled 1.
1. represents the interference pattern
3. represents the diffraction pattern
2. represents the irradiance pattern
I guess that those...
You collect 200 data points, 100 with input ##A## and 100 with input ##A'##.
For all 100 ##A## you get output ##C## and for all 100 ##A'## you get ##C'##.
That's way more than 5 standard deviations, so you're ready to publish...
But not really.
Because what matters is not just that input ##A##...
Hi,
It said that constructive interference has taken place between two waves if the combined amplitude for two waves at a certain time is more than their individual amplitudes. Likewise, in case of destructive interference, the combined amplitude is less than the individual amplitudes of either...
It is said that interference occurs when a peak (of the light wave) meets a trough and the wave cancels to zero, giving a dark band on the screen. However, if light waves are bands or "shells" of high densities of photons interspersed with bands of zero photons, then how can this be? When a peak...
I have found on the internet an article from Gizmodo magazine, in which a LIGO team member answer some readers’ questions, regarding gravitational waves, and found a specific question and answer in that article, to be very interesting.
The question relates to weather gravitational waves are...
In https://www.sciencedirect.com/science/article/pii/S0378437109010401, the author claims that the interference pattern obtained in the double-slit experiment does not need a wave description of matter, and can be accounted for by the "quantized momentum transfer" from the slits to the electron...
Homework Statement
A thin (460 nm) film of kerosene (n=1,20) is spread out on water (n = 1,30).
Light hits the (horizontal) surface of the film coming (almost) perpendicularly from above.
A diver underwater, below the film.
a) Find out the visible wavelength reflected into air that has the...
Hello, I have a question about interference.
I have interference from thin film, i.e. fringes of equal inclination. How I can calculate the radius of sample curvature from the interference pattern? How I can to determine the maximum radius of curvature of the surface at which interference will...
A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown in the figure. The observed interference fringes from this combination shall be ______.
My thoughts
The thin slice will act as thin film but of half cylindrical...
Destructive interference is excellently demonstrated in Young's double slit experiment, where dark regions are formed due the waves being out of phase. However, what really confuses me is that unpolarised light has intensity.
Assuming we had perfectly unpolarised light, as in where the...
Homework Statement
Two identical loudspeakers
are driven in phase by the same amplifier at a frequency of 680 Hz. The
speakers are 4.6 m apart. An observer stands 9 m away
from one of the speakers as shown. The observer
then starts moving directly towards the closest speaker.
How far does the...
In most textbook/internet explanation of light coherence, it gives two conditions
1) monochromatic light, same frequency.
2) light in phase or constant phase difference.
Only with the two conditions can light interference pattern be observed in the double slit experiment.
But this cannot be...
I am trying to understand the following:
1. Have gravitational wave constructive and deconstructive interference phenomena already been observed or is it that only after making LIGO kind of experiments more advanced, that we might be able to observe such phenomena in the future?
2. Can't...
https://www.google.com/amp/s/phys.org/news/2017-01-physicists-exotic-looped-trajectories-three-slit.amp
Based on this I was wondering how the interference pattern with three slits instead of two would look. Is there a difference; is there more interference fringes? Or does the interference...
Imagine a standard Young's Slit experiment using photons. We obtain large, distinct interference fringes on a target screen.
Then, we embed into the target screen a telescope focused on and capable of resolving the slits. The width of the lens must be greater than about one fringe to obtain...
Hello. I have a question about jammers. Based on this picture I made quickly, from what I've read online, Transmitter 2 will definitely be blocked with interference by the jammer since it's in its range. My question is, does the jammer also block Transmitter 1 and Receiver 2? Assume that the...
Homework Statement
This is just a question about a question in Serway & Jewett's "Physics for Scientists and Engineers 3rd Ed". It's Objective Question 3 from Chapter 18, building on Example 18.1 from the text.
Two identical loudspeakers placed 3.00 m apart are driven by the same oscillator...
I've read on page 107 of the pdf http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=617AE275E5CECF5F0AFD69ACBC52141B?doi=10.1.1.205.6529&rep=rep1&type=pdf that
. Thus it seems that there are three different interference patterns.
1: We do not try to detect the electron passing through the...
Homework Statement
Two in-phase loudspeakers, which emit sound in all directions,
are sitting side by side. One of them is moved sideways by 3.0 m,
then forward by 4.0 m. Afterward, constructive interference is
observed 1/4 and 3/4
of the distance between the speakers along the
line that joins...
Homework Statement
question (iii)
2. Homework Equations
D=sd/λ (where D is the distance from slit to screen, s is the distance to the central maxima, and d is the slit separation)[/B]
The Attempt at a Solution
I plugged the values s=0.3*10^(-3), d=4.5*10^(-3) and λ=633*10^(-9), and got the...
Can we could interfere electron with photon, this question is come from logic both are waves. Is anyone did that before.?(I know that electron isn't a scalar wave)