Questions tagged [interference]

Interference describes different waves superposing to form a resultant wave of greater, lower, or the same amplitude. Normally, it involves interaction of waves that are correlated (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, e.g., light, radio, acoustic, surface, or matter waves.

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Does anybody know a physical explanation for the refractive index independence of the Sagnac Interferometer fringe shift?

It is generally accepted that the fringe shift produced in a fiber optic Sagnac interferometer is independent of the refractive index of the fiber. In fact, the waveguide aspect of the fiber is not ...
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Interference and diffraction pattern without lens

There is a slight conflict going on in my various physics books regarding the apparatus of Young double slit experiment and single slit diffraction. In some books they have written that a lens must be ...
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Number of Fringes obtained on Interference of Lights of different Wavelengths

The Question goes as follows: I am stuck at the part where we obtain General Equation for Path Difference of two Interfering Lights. Since Wavelength of those Interfering Lights are different, so I ...
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What happens when one or both slits are closed after each photo has passed the slit but before it’s detected?

In the double slit experiment in which single photons are fired at a pair of slits one at a time forming an interference pattern at the detector, what happens when one or both slits are closed after ...
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Best localization of maxima in infinite slit interference

In the geometric optics approximation, if I make an interference on an $N$ (equally spaced) slits, then the width of the maxima goes to zero with $N \to \infty$ regardless of the width of the slits. I ...
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Intensity of Two Slits of Finite Width Pattern

I am a college sophomore in an introductory E&M course. Young & Freedman presents the resulting diffraction/interference pattern when shining monochromatic light through two slits of finite ...
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How to find Intensity in a diffraction experiment? [closed]

Here's my best bet. Let the Intensity of the light at the slit be $I$. Now split the slit into 3 parts. We know at the point of first secondary maxima, two of the adjacent slits interfere ...
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Why distance between source images in Michelson interferometer experiment is twice the distance between two mirrors

In the Michelson interferometer experiment, there are two mirrors which are perpendicular to each other. When we see in telescope, we see one mirror, let's name it (a), directly and one mirror as ...
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Why don't two identical monochromatic lamps form interference patterns?

Monochromatic light of intensity I from two identical lamps is incident on a screen. How will the intensity vary with distance, x, from the center of the screen. From my knowledge of Physics, I would ...
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What is the smallest value of the incident angle in Bragg's law?

The title of my question basically is what I want to know. In Bragg's law, $nλ = 2 d \sin{\theta}$, if we want to find, let's say, $d$, and know only $\lambda$ and $n$, but not $\theta$, what could be ...
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How to demonstrate interference or diffraction in class?

High School physics teacher here. I was wondering about a simple experiment that I can perform in class to demonstrate interference or diffraction. Can you suggest anything? I am not looking to ...
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How does decreasing the frequency change the amplitude of 2 points on an inteference pattern

Initially, there is a constructive inteference happening at B. Destructive inteference occurs at A. This is because at B, the pathlength difference is 1λ,or generalized as nλ,where n is an integer. At ...
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Double-slit interference pattern from double-slit diffraction pattern in the limit of zero slit-width

The intensity pattern of the double-slit experiment should change from the double-slit diffraction pattern $$I=4I_0{\rm sinc}^2\left(\frac{\pi b\sin\theta}{\lambda}\right)\cos^2\left(\frac{\pi(b+d)\...
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A question concerning interference and diffraction [closed]

hi, I have recently been doing this problem and when looking at the mark scheme for d iii it says the secondary maxima intensity decreases however I believe this not to be true. Understanding it to be ...
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Why does diffraction produce a pattern of light and dark coloured bands? Or, why doesn’t a normal plane/spherical wavefront give a pattern?

I know that diffraction is the changing of a plane wavefront into a spherical wavefront and I understand why it happens (Huygen’s principle), but I don’t get why it gives a pattern of light and dark ...
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Can this wavlength expression be simplified further?

I am supposed to be expressing the wavelength of light that produces 1st order fringe on the viewing screen, given that the diffraction grating has spacing d and the fringes are viewed on a screen ...
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How would Young's Double Slit Experiment change if we use light of different wavelengths? [duplicate]

Suppose we use light of two different wavelengths (say blue light and green light) in the two slits of Young's Double Slit Experiment. What sort of interference pattern would one observe?
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Why does wave interference occur?

Elaborate question : Wave interference is the interaction between 2 waves of the same frequency with varied amplitudes . They add up in case there is no phase difference and annihilate each other in ...
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Quadratic increase in energy under constructive interference of electromagnetic wave [duplicate]

I'm trying to wrap my head around the energy increment under constructive interference. In short, why does energy increase quadratically when each source emit EM wave that interferes constructively? ...
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How one explain the formation of interference in the intersection of rays from images ? Is wave nature is getting considered?

Setup below shows a (modified billet split lens setup) where two point light sources which emits wavelengths of same value and also they are in phase [Assume] . Now consider the rays which are getting ...
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Difference between the wave forms in the water and in the Young double slit experiment

We can observe when we cause a slight disturbance at two points on the water surface which is intially totally undisturbed , it will form water waves which would look like as shown in below image: we ...
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Extended source problem while causing to show the chances to form the intereference pattern

We know waves are emitted from a extended source such as sodium lamp will have waves getting emitted at different times due to variable time it needed for to excite electrons in the sodium atoms . But ...
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Young double slit experiment superimposition aftereffects

Consider a Young double slit experiment we know that waves superimposition is what causing constructive and destructive interference but while showing that consider two waves superimposing at a point ...
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If light wave radiating from one source is ahead of other by a constant phase as well as an additional path diff. what will be the final path diff?

This is a problem from Fundamentals of physics by Resnick and Halliday. Solution to this problem is 0. My attempt: firstly the light wave radiated from soyrce $A$ is ahead of that of $B$ by $90°$, ...
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Superposition of EM waves and "magic" behind tuned receiver circuit

I'm struggling to understand how the receiver circuit (eg. FM radio) is able to extract a particular frequency out of the sum of all received frequencies by its antenna? I've checked dozen of websites,...
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Interference pattern double slit - exponential electric field

So I am trying to prove that the intensity received at a screen from a light point source through two slits is $I(x)=cos^2(\frac{\pi ax}{\lambda D})$. I know that the electric field at screen is $E(x)=...
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Searching for an "intuitive" explanation about how gravitational waves can be detected by a laser interferometer like LIGO

Since LIGO's first detection of gravitational waves, I have been searching for an intuitive way -as long as intuition can be useful in relativity, which often it isn't- to understand how the detector ...
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A doubt about the Newton's ring experiment

In Newton's ring experiment, we use a combination of a plano-convex lens and a glass plate as shown in the diagram below. Here, we consider the interference of two rays - one reflected from the curved ...
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Integral of the intensity curve over path difference

Suppose the intensity amplitude of an elementary beam is $i_1 (k_0)$ where $k_0$ is the wavenumber. Let $k_0 = 2\pi/\lambda_0$ be the wavenumber corresponding a particular "desired monochromatic ...
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Superposition of waves for changing frequency [closed]

Is this physically correct statement that the "superposition of waves increases with increasing frequency". An increase in frequency means smaller wavelength --> smaller path differences ...
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Dielectric susceptibility and scattering intensity

I am currently reading a paper about Resonant Soft X-ray Scattering and they mentioned that the resultant scattering intensity can be found from the dielectric susceptibility of the thin film, with ...
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Quantum Mechanics: Interference and entanglement with the Hong-Ou-Mandel (HOM) effect

My most sincere apologies if this question seems jumbled/incoherent. New here and very confused. Context: From what I understand, if a photon is incident on an input port of an ideal 50/50 beam-...
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Energy of a Point at different times in a Standing Wave

Two waves traveling in opposite directions meet to Produce Standing Waves. At Nodes The displacement of one wave is +x and for the other wave, it is -x. Both of which cancel to produce a Node. At this ...
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Confusion about $\vec r$ arising in the phase $(\vec k\cdot\vec r-\omega t)$ in Young's double hole experiment

In Young's double hole experiment, if the screen is far away from the holes, $S_1$ and $S_2$, producing coherent monochromatic waves of frequency $\omega$, the wavefronts at the screen may be ...
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What is the meaning of this statement in Optics, Born-&-Wolf regarding coherence length?

In their treatise "Principles of Optics", Max Born and Emil Wolf state in the section on coherence length (page 317, para 1) that: ...... as the difference of optical path is increased, the ...
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Why doesn't a standing wave cancel out?

When a wave gets reflected, doesn't its phase change by 180 degrees. So shouldn't a wave and its reflected counterpart get canceled out as their phase differs by 180 degrees?
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Where does the extra energy stored in the electric field come from when two perpendicular EM waves constructively interfere? [duplicate]

Consider two EM waves, the first one moving the positive x-axis and the second one moving the positive y-axis such that the electric field component of the two EM wave is in the z-axis. Let the ...
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Wave packet destructive interference

In Cohen-Tannoudji's Quantum mechanics book, I was reading about an example of a wave packet. The wave function is a superposition of 3 waves with different wave number: $k_0$, $k_0 + \frac{\Delta k}{...
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Is it possible to find out coordinates of slits by interference image?

Is it possible to find out coordinates of slits by interference image? Actually I have several questions. Assume my friend gave me a stripe which shows interference picture of light (like in a ...
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Will the equations derived for dark and bright fringes remain the same in this case too, or will there be changes?

We know in YDSE experiment we calculate position of white and dark fringe by calculating the path difference using Pythagoras theorem and equating it to $n\lambda$ and $\frac{2n-1}{2}\lambda$ ...
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Can the spot of a laser on a plane be extinguished by another laser?

Of course the second laser have to be stabilized with the first in frequency. The second one is fed to the spot through a variable delay line so the phase to be completely opposite. I suppose they ...
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What happens in Young's double slit experiment and Fraunhoffer's diffraction actually?

In Fraunhofer's diffraction, is it the interference of light rays of two secondary sources in a wavefront of a primary source? And in Young's double slit experiment, is it the interference of light ...
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Why is there destructive interference in an atom between protons and electrons?

"In energy wave theory, Planck’s relation describes the energy of a transverse wave, emitted or absorbed as an electron transitions energy levels in an atom. When an electron is contained within ...
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Beatings from a radar wave and plane velocity

Suppose a radar is emitting a spherical wave with some wavelength $\lambda$ and there is a plane traveling with velocity $\vec{v}$ towards the radar (and assuming plane waves getting to the plane). I ...
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In the intereference in famous Young Double Slit Experiement isnt the wave pattern forming on the screen due to bending of waves only?

In the famous Double slit experiment the waves from a source hit two slits and then they get interference at the screen but isnt the interefernce along the screen due to bending of waves only ? Isnt &...
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How to simulate a Mach-Zehnder Unbalanced Interferometer with Single Photons?

I'm currently working on a project using a Mach-Zehnder Interferometer (MZI) with weak coherent pulses (single photons). In order to simulate the results I would like to use the Qutip library of ...
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Why doesn't white light have a wavelength? [duplicate]

Since white light is a combination of waves of frequencies corresponding to all the visible colors, shouldn't the waves add up and cancel each other out in such a way that it is left with a single ...
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Why intensity can be independently multiplied in case of considering both both single slit and double slit interference combined pattern?

http://web.mit.edu/viz/EM/visualizations/coursenotes/modules/guide14.pdf in this pdf the author said that intensity will be just multiplication of both independent intensity patterns , they didnt ...
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Morpho Butterfly blue wings physics

The morpho buttery have special wings where the colour does not result from pigmentation. Additionally, when the wing is viewed from different angles, the colours change. Why does this happen? (I know ...
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When the loudspeaker is arranged in a plane, I want to calculate the sound pressure level at a certain distance from the front side

I would like to calculate the initial sound pressure that must be guaranteed to guarantee 100dB at a distance of 2000m with a frequency of 17kHz. Next, I would like to know how to arrange a few ...
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