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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Amplitude distribution in reflection and transmitted waves

Let us consider an incident wave $y_i$ travelling along positive x-axis in medium $1$ which is reflected($y_r$) and refracted(transmitted)($y_t$) across the boundary(at $x=0$) between medium $1$ and ...
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Single slit diffraction angle between maxima

Lets say we have a certain wavelength $\lambda$ and a known slit width $d$, how can I calculate (approximately) the angle $\theta$ between the central maxima and the next maxima? I know that $d \sin \...
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About two photon interference in nanophotonics

Within the standard model, photons are point particles, i.e., with no spatial distribution. On the other hand, classical electromagnetic modes have field distributions. Suppose there are two different ...
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White light interferometer

I am building white-light Michaelson interferometer and I am registering interference in frequency domain via spectrometer. I read an article, where the same is done (just Mach-Zender interferometer) ...
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Interference fringes movement analysis

I am registering interference fringes on CCD linear sensor from Michelson inteferometer runned by He-Ne laser. I am sampling every 15-20 ms. I made a program to follow fringe movement and to track ...
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Double slit experiment: effects of changing path difference between slits on diffreaction pattern

I know that interference pattern maxima occur due to path difference of integer number of wavelengths, causing constructive interference, and minima due non-integer number of wavelengths, causing ...
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Interference pattern formed by mirror-screen system [closed]

Background A collimated coherent light beam of wavelength $\lambda$ is incident normally, on an assembly of mirror and photographic plate as shown below. The photographic plate is placed at the ...
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Quasiparticle interference experiment - why backscattering is usually dominant

I am reading this article about quasi-particle interference (QPI) experiments. In the simplest case where they use QPI to study the surface of Cu, it is said that the dominant elastic scattering event ...
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White light interferometer, how much precise must be?

I am trying to build a small interferometer, but after many attempt, I still can't see any fringes or interference effect. How much precise need to be the surfaces and the angles to see interference ...
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Why does the irradiance of two intersecting waves not contradict the conservation of evergy? [duplicate]

I am currently working through Optics by Eugene Hecht. When two waves intersect together, Hecht shows that the total irradiance $I$ is $$I=I_1+I_2+\sqrt{I_1I_2}\cos{(\delta/2)}$$ where $I_1$ and $I_2$ ...
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Why is it harder to use a white light source in a Michelson Interferometer?

In a Michelson Interferometer, a light beam is split into 2 different beams that travel different optical paths, through the "arms" of the interferometer. Then, they are reflected and, ...
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What is the minimal size the slit should have in order for an interference pattern to occur? [closed]

Consider the single slit experiment. The width of the slit can be given as: $b= \frac{\lambda}{2} * \frac {1}{\sin(\theta)} $, where $\theta$ is the angle for the first minimum is. At which minimal ...
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How does which-slit information destroy interference?

How exactly does which-slit information destroy interference? I've seen in so many places online claiming: "which-slit information destroys interference pattern"..."the act of ...
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Single slit and double slit interference

I skimmed this and this about the title subject but I am still unclear. What are the differences and similarities between single slit and double slit interference patterns?
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Energy from destructive interference [duplicate]

At nodal lines (destructive interference), what happens to the energy of the light? I suspect they turn to waste heat.
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How the center of Newton's ring can be bright?

We all know that due to interference of light on a plano-convex lens, central dark fringe is created. Most commonly known as Newton's ring. But is it possible to create central bright fringe? How the ...
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Multiple maxima during thin film interference

I am trying to work through a problem about thin film interference. In the problem a thin film ($n_1 = 1.5$) is deposited on a layer of silicon ($n_2 = 3$). I need to find the thickness of the film ...
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Numercial simulation of the double slit experiment

Originally I had a code that simulates single slit diffraction: parameters for functions: ...
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Why do waves add in contructive interferrence and continue to propagate through a medium?

I don't fundamentally understand why waves add to make a bigger wave in constructive interference. The explanation I have seen everywhere is just that they add to form something bigger. But what ...
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Constructive and destructive interference and their conditions

I came across different examples for constructive interference and I tried to figure out when the condition for constructive interference is $\Delta \phi = m\cdot\lambda$ and when it is $\Delta \phi = ...
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Does the ket $\mid \psi \rangle$ and the ket $ \alpha \mid \psi \rangle$ represent the same state?

To show that the state spin $\frac{1}{2}$ particles get a minus sign under a $2\pi$ rotation the following experiment is made A beam of neutron is divided in two beams $A$ and $B$. The beam $A$ ...
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Why do pianos not produce beats?

Beats occur when two sounds that are close in frequency interfere with each other and produce periodic variation in amplitude - called beats. Piano keys that are next to each other seem to satisfy ...
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Position of Central Maxima due to multiple path differences in YDSE

In a YDSE experiment, the apparatus is immersed in a liquid of refractive index μ1. And also one of the slits (S2) is covered with a transparent slab of refractive ...
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Imaging aberration

Qs: Doesn't a curved side lens produce less aberration than a flat lens in general because the overall angle of deviation is smaller in the curved lens? Consider the following experimental results ...
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How are phased arrays compatible with the photon concept?

Not a physicist (although I know how to develop and simulate phase arrays). Phased arrays are e.g. emitters sending waves with individual elements with a different phase so that they act ...
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Infinite sum of transmitted parallel light fields

I'm currently studying optics and came across the possibility of retrieving the original electric (light field) from a pair of partially reflecting mirrors, but I am confused by several ...
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Probabilities in two slit interference

I'm reading Higher-order interference in quantum physics by Rozema et al. Their Figure 1 is a simple setup There are two paths. The upper path $|u\rangle$ is open and the lower path $|d\rangle$ is ...
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Constructive interference in single slit diffraction

Double slit diffraction seems to be easier to understand than single slit diffraction, in which the single slit are thought to be wider, therefore multiple sources of semi circular waves are present ...
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Can you make a interferometer with circularly polarized light?

If I make a Michelson interferometer with circularly polarized light, does the path difference make any difference in the brightness of the resulting beam? I do understand that circularly polarized ...
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Particles in an interferometer in a gravitational field

Let's assume one has a standard interferometer, consisting of an incoming beam which gets splitted in beam I and II and then culminated again. Now the interferometer is placed in a gravitational field,...
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Does an aluminium Faraday cage stops radio waves?

Imagine that I have a very nice aluminium Faraday cage with some sensitive circuit inside, to not complicate the problem the cage has no holes and the aluminium is $2\,\mathrm{mm}$ thick. As far as I ...
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A light problem: What happens when light completely destructively interferes?

So here's the setup. We have a spherical source. It emits a pulse of light in all directions with some wavelength $\lambda$. It reflects off of a spherical mirror that is centered around this source. ...
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Why doesn't the logic behind destructive points in single slit diffraction apply to double slits?

I was learning about single slit diffraction, and how if you have a slit such that the path difference between the closest and farthest ray is a natural number m * the wavelength, you will have ...
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Double-slit diffraction: Reduction of intensities

In a double-slit experiment, why do the intensities of the interference maxima decrease with the increasing diffraction angle?
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“Anomalous” Interference Maxima from a Diffraction Grating

When shining a red diode laser ($\lambda = 635$ nm) laser through a diffraction grating (5276 lines/cm), I'm observing what I consider to be anomalous maxima near each of the expected maxima for the ...
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Is the Bohm-Aharonov effect a proof of real $U(1)$ local gauge transformations “taking place” (instead of being just a math procedure)?

Under a local gauge (phase?) transformation of the field operator for electrically charged fields, $\psi \rightarrow e^{\mathrm{i}\phi(x_{\mu})}\psi$, where $e^{\mathrm{i}\phi(x_{\mu})} \in U(1)$, the ...
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Fringe movement analysis to extract displacement

I am using a Michelson interferometer with the interferogram recorded on a CMOS sensor. I have taken a video of the fringes moving when a displacement of 50 $\mu m$ is imposed to one of the mirrors. ...
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What is the spacing between interference fringes?

In this problem, we are trying to determine the spacing between interference fringes for a setup of two optically flat glass plates with a small wedge of air between them. I am attaching a screenshot ...
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Why do radio signals have an absolute phase angle, but visible light photons don't?

In quantum mechanics, we are usually told that the absolute phase angle of a wave function has no physical meaning, and that it's only the difference in angle that matters. That is, if we take a wave ...
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Photon Interference in a double slit experiment [duplicate]

I have been trying to understand interference of photons. I used to think of a photon like a localized wave, with an electric and magnetic field travelling perpendicular to each other, each possessing ...
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Derivation of the probability of joint detection in Hong-Ou-Mandel interferometer

I read the Hong, Ou, Mandel. "Measurement of Subpicosecond Time Intervals between Two Photons by Interference", from PRL 59, 2044. Where the - now known as - Hong-Ou-Mandel interferometer ...
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Why does the amplitude decrease with $d^{-1/2}$ for interference of two wave sources?

As part of my degree, I'm doing a computing course and we are building a tool that simulates interference of two identical wave sources. It was mentioned, off-handedly - that the amplitude of the ...
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Why do we hear beats?

I've learnt quite recently that to hear beats the sources must emit sound in almost near frequencies Here is a scenario I have a two tunning forks and together the produce a beats of frequency 2hz But ...
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What happens if a string with both ends fixed is excited with sinusoidal wave with $\lambda \neq 2 L/n $?

We know that if $\lambda = \frac {2L}{n}$ then stationary waves are formed. So, if a wave generator is connected to the string and we set $\lambda = 2L $ then we will see stationary waves. Maybe we ...
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Setting up Twyman-Green interferometer

I am trying to reproduce some experiments for multiple degree of freedom homodyne interferometry, but I am struggling to understand the basics of the hardware I need. The literature I am referring to ...
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Evaluating whether a surface apperance is light or dark for the case incident light is in normal direction

The Question: The system in the figure is illuminated in the normal direction by wide monochromotic light source in the first environment. Explain in detail the light and dark condition of the ...
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Interference of invisible IR and UV lasers is visible?

By the formula : $$\cos a+\cos b=2\cos\left(\frac{a+b}{2}\right)\cos\left(\frac{a-b}{2}\right)$$ We could think the crossing of IR and UV could be made in the visible spectrum ? Is this used in some ...
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Newton Rings - Wavelength of light hitting glass

I'm breaking my head for a long while on an exercise problem and I can't figure it out. I'm given the distance between the $4^{\text {th}}$ and $25^{\text {th}}$ dark ring, $9$mm. I am given a lens ...
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Is there interference and which-way-information?

Since interference is possible with a single photon, both interfering signals of a photon, after passing a beam-splitter, arrive at the detector with a phase-shift. No upper limit of this phase-shift ...
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How can you show that there is destructive interference if Bragg‘s law is not fulfilled?

How can you show that there is destructive interference if Bragg‘s law is not fulfilled? For a given angle $\phi$, spacing $d$ and wavelength $\lambda$: suppose that the path difference between the ...

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