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The impulse response of the Rayleigh-Sommerfeld formulation of diffraction

What is the impulse response for the Rayleigh-Sommerfeld formulation of diffraction? In Goodman's Fourier Optics, two formulations for Rayleigh-Sommerfeld are given, and both of them seem to be ...
requiemman's user avatar
1 vote
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Can we explain certain light phenomenon like refraction using particle nature of light?

Using Hugyen's principle and wave nature of light, refraction, diffraction are relatively simple to explain but I have been visualing a mental model for a couple of days where the photons on reach the ...
Aritro Shome's user avatar
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31 views

Equating scalar summation of electric field to electric field at maxima in single slit diffraction

I was going through the standard derivation of intensity distribution in case of single slit diffraction I don't understand why we equate the scalar summation of electric field phasors(or the length ...
Blz's user avatar
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35 views

How do I compute the diffraction efficiency of the orders of an arbitrary grating in the Fraunhofer regime?

Suppose I have an arbitrary grating and it has some transmission profile $t(x)$. I want to compute the diffraction efficiency of the grating's $n^{th}$ order in the Fraunhofer regime. Let the spatial ...
requiemman's user avatar
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How to solve Fresnel diffraction integral of vortex beam

Solving Fresnel integral for vortex beam diffraction is necessary and difficult. Without the necessary integral formula, this isn't easy to derive. Therefore, I need some means to calculate it ...
Matthias's user avatar
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49 views

Decomposing circular diffraction patterns

I have the following diffraction pattern produced by a fabry-perot etalon The red represents the center of that pattern. Taking the mean intensity of the pattern as a function of the radius from the ...
Jonas's user avatar
  • 35
2 votes
1 answer
83 views

Interference between two beams of unpolarized light

Interference is explained by showing a diagram of two parallel waves of light that are in phase or out of phase and showing the result of the fields constructively or destructively interfering. ...
xasthor's user avatar
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2 votes
1 answer
162 views

Maximum numerical aperture and diffraction limit of a lens

In this thesis, you can read page 62/63 the following: "The lens is designed for λ = 780 nm and works diffraction limited up to NA= 0.55. However the diffraction-limited numerical aperture for λ =...
DarkBulle's user avatar
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Helmholtz - Kirchoff Integral theorem - geometrical construction

I'm going through this subject in J. Goodmans' book - Fourier Optics, and the following geometrical construction is made: The goal of this construction is to exclude $P_0$ from the surface S. ...
Sammy Apsel's user avatar
1 vote
1 answer
70 views

Is the lens image, a combination of diffraction patterns?

As I was reading through Luigi Picasso's Lectures in QM, I came across this paragraph where he explains the reason behind the resolution power of the optical instruments. He writes: Let us now ...
Rice Field's user avatar
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1 answer
39 views

Explanation for an atmospheric optical phenomenon

Consider the atmospheric optical phenomenon appearing in this video. A screenshot at the appropriate time is shown below: The video is footage from a drone flying just above a low-lying, thin layer ...
lineage's user avatar
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1 vote
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Intuition behind the math of Diffraction

Is there an intuitive way to understand why the diffraction patterns arising from an arbitrary aperture is Mathematically the Fourier Transform of this aperture function?
eli morhayim's user avatar
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96 views

Diffence between the double slit experiment, single slit diffraction vs the hair strand diffraction experiment

We know that in the double slit experiment the BRIGHT spots are created for path difference of $n\lambda$.However the condition is reversed in the case of diffraction. Here we see BRIGHT spots when ...
Al-Ahsan Abhro's user avatar
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0 answers
29 views

Learning about diffraction of waves

I'm a math major learning some physics for a QM class. I am looking for some sources to learn about diffraction of waves. Online, I've found some treatments on YouTube and other sites, but these seem ...
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1 answer
1k views

Spot size based on a numerical aperture (NA)

When an optics vendor provides a spec for an objective lens, they often provide a numerical aperture value ($NA$). Based on the $NA$, the optical system's magnification will change. Physically, this ...
Liz Salander's user avatar

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