Resolution Definition and 313 Threads

According to the formula, an increase in numerical aperture leads to a decrease in minimum line width and thus better resolution. However, if were to draw it out, given the same depth of focus, why does the minimum line width increase with higher numerical aperture?

I teach high school and am trying to put together a resource that teaches students how to measure lengths properly with a ruler or meter stick. They don't understand how many decimal places to include in their answer (i.e. they will often write 1.7 cm when it should be 1.70 cm), and they...

The formula is ##\theta=1.22 \frac{\lambda}{b}## where b is the diameter of circular aperture I thought it would be ##\theta \geq 0.61 \frac{\lambda}{r}## since diameter = 2 x radius but the answer is (D) Do we just consider ##r \approx b## since maybe it is small or am I missing something...

This is the first post in a series I plan on creating a Video Codec based only on AI. First a while ago now I did a post on 8k vs 4k https://www.physicsforums.com/threads/exploring-8k-vs-4k-how-to-choose-the-right-tv-size.982481/#post-6283071 One of the takeaways was: 'First despite what...

hello i would like to ask how to obtain tomographic image resolutions from wifi sensing and imaging using signals processing. thanks very much.

Hello! I am doing some calculations and I would like to use the best value for a micro channel plate (position sensitive) position resolution to date. I don't care too much about the details, but I don't want to use too small of a value and of course I'd like to give a reference for this value...

Objectives: - best path for optics needed to focus and "draw"/project a high resolution image onto a workspace around 500mm square (for a Laser Direct Imaging machine) - where to cost effectively purchase or make the optics necessary to build a prototype The problem: I need to project a high...

Hi Sorry about the stupid question. I am completely green on tv streaming. I have a limitation of 25MBPS internet connection. I know 4K video needs 25MBPS speed. That is I can ONLY run one tv. I really don't care about the clarity and resolution. I have modern smart tv, but I am still feeding...

How to impose boundary conditions when solving a PDE with fft? For example here: If I copy this code I get periodic boundary conditions. Thank you

My notes say that the Resolution of the Aperture(in the Electric field of the wave) is the Fourier transformation of the aperture. Then gives us the equation of the aperture: and says that for the circular aperture in particular also: My attempt at solving this: We know that the Fourier...

Hello! If I want to model the time and spatial resolution of an MCP detector, should I use a gaussian or a uniform distribution? I imagine that, for example for the spatial distribution, the uncertainty is given by the size of the pixel on the detector, which makes me think that uniform...

In the video above we can see the wave like patterns. The microscope on the video, used on the experiment, has a low quality and a low magnification. If anyone has a scientific article or a video source for such experiment with low magnification but with a high quality of definition it would be...

As is well known, the stiffness of an FEA model decreases with a refined mesh. What's the rigorous derivation of this?

This is not really a homework question so don't bother answering them. It is more of a guidance problem. This is what I find the hardest out of all topics.. Unfortunately, this topic is a fixed 10 marks question in our 80 marks exam. Comes every time. The types of questions that I need to deal...

This is not really a homework question so don't bother answering them. It is more of a guidance problem. This is what I find the hardest out of all topics.. Unfortunately, this topic is a fixed 10 marks question in our 80 marks exam. Comes every time. The types of questions that I need to deal...

Hello Gentlemen, I'm not an EE engineer, yet trying to help my colleagues. I would like to get a general feeling of what could be going on. Probably trivial for some of you. Background We have a motor/torque sensor device that is measuring torque values. We get out digital signals for Torque...

I was wondering how the resolution is of a observatory station and compare that to its field of view? Higher rez with larger field or higher rez with more narrow field but much more scanning across the sky to create full images?

It just occurred to me while watching some old X ray images , what is the reason behind why modern X ray images have so much more detail than older ones especially really old ones from the beginning of the technology at the start of 20th century? I ask this because (unlike in a CT scanner which...

Hello Forum, I am attempting to understand what causes pixelation when a bitmap (jpg, png, etc.) image is enlarged. Bitmap images have a resolution indicated as the number of pixels along the width and height of the image itself. On the other hand, computer monitors also have a physical...

Hi guys, I have started studying differential equations on my own, sticking to my last high-school year's textbook, along with a few physics applications of ODEs. Online I came across the n-body problem, which then took me to the basic two-body problem! I'm here to ask you a few things about...

Hello, This question is with regards to the discussion around page 56 (1971 Edition) in Anthony French's Newtonian Mechanics. He is discussing the choice of a coordinate system where the axes are not necessarily perpendicular to each other. Here is the summary of what I read (as applied to...

Hello folks, I have the two following questions I'm working on: Q1 An optical microscope uses a lens with NA = 0.7 and a focal length of f = 20 mm. What is the smallest spatial distance that can be resolved if a wavelength of λ = 633nm is used? An iris is introduced in front of the lens with a...

Can anyone help me solve the magnitude and direction of force at C. I've managed to get a value for AB. Using basic trig and substituting into F= ((9x150+19.62×350) / 50) / cos9.782 Therefore producing an upward force at AB=166.7N when it comes to force @ C.. I'm lost!

Hi everyone hope you are well, I would like to express what I have done for this question: Proving and employing caratheodory theorem we can say that any point in polyhedron can be expressed as a convex combination of at most n+1 points (where n is the space dimension) in same polyhedron that...

In the section 8-2 dealing with resolving the state vectors, we learn that |\phi \rangle =\sum_i C_i | i \rangle and the dual vector is defined as \langle \chi | =\sum_j D^*_j \langle j |Then, the an inner product is defined as \langle \chi | \phi \rangle =\sum_{ij} D^*_j C_i \langle j | i...

Summary:: I'm quite stuck on this problem i don't know what I am going to use formula to solve this one This is the given I am not sure if this is a resolution problem or it involve parallelogram law

My understanding is that the terms are synonymous but I'm just wondering if there is a subtle difference between the two terms which I am unaware of.

Full article: https://www.aura-astronomy.org/news/nsfs-newest-solar-telescope-produces-first-images/

Hi I want to look at the energy resolution of a homogeneous calorimeter, in the literature I found that is given by σ/E = a ⊕ b/√E ⊕ c/E and I found that the ⊕ means quadratic sum, what does quadratic sum mean? Thanks Aaron

Hello everybody! I have a question regarding my physics laboratory at the university. I am performing the measure of muon lifetime. The setup is quite standard (coincidence measurement with plastic scintillators). My question is about the time resolution. I have tried to see if the time...

I'm trying to find a high resolution image that shows the visible electromagnetic spectrum with a fine graded scale. It should be detailed enough to pinpoint which exact colour corresponds to a particulate wavelength (integer in nanometer) of light. I find a lot of images through searches but no...

Hi everyone, this is sort of a soft question which I need to ask to make sure my understanding is correct, it relates to a little project I'm doing on measurement resolution. The first question is to clear up a general concept, the second is based on the first and is the actual question...

I have been looking online and it is stated to be 1nm, but these are posts around 6 years old: https://www.azonano.com/article.aspx?ArticleID=3662 https://www.researchgate.net/post/Whats_the_measurement_limit_of_dynamic_light_scattering I am wondering if the limiting resolution has improved...

The positive lambda has a quark composition udc, and a lifespan of 2 x 10 minus 13 seconds. When this particle is created in a collision, inside a modern detector, how long will its track be? At near the speed of light, its lifetime would allow it to traverse less than a tenth of a millimeter...

Hi. The angular resolution is calculated through $$\theta=1.22\frac{\lambda}{D}\enspace.$$ It's the first zero of the intensity function (in small-angle approximation) of the Airy disk...

Hi! Am new to this forum, but I have looked around here for some time now, since am studying a course of logic in the context of computer science. I have a very important exam in a few days, and while I thought I got it, I got shocked when I was looking on previous graded exams to see what I...

Hi, I read the Feynman Lectures Volume 1, Chapter 27, section 27-7, which can be here. In the lecture he describes the fundamental limits of resolution and provides a criterion. Here is the diagram I am referring to, figure 27.-9: There are two light sources, ##P## and ##P'## There is an...

Homework Statement λ = 240 nm D = 2.40 m We are supposed to find the angle resolution (minimum angular distance between two objects so we still see them as two separate objects) to the telescope for ultraviolet light with wavelength 240 nm Homework Equations The equation that I used is θ =...

Hi I'm reading through a Quantum Mechanics textbook called Quantum Mechanics by Book by Alastair I. M. Rae and in the opening chapter it talks about the Heisenberg uncertainty principle and talks about how a measurement of position of a particle causes an uncertainty from the momentum due to the...

Homework Statement Refer the given image. [Prob 2.9] Homework Equations F=ma The Attempt at a Solution I drew the normal vector perpendicular to the surface of the cone and resolved it as ##Nsin\theta=mg## ##Ncos\theta=\frac {mv_{0}^2} {r}## where ##v_{0}## and ##r## are the speed and radius...

Homework Statement A novel semiconductor detector crystal requires an average energy of 1.8 eV to create an electron-hole pair, it has a Fano factor of F=0.2. Use this information to calculate the potential resolution for detecting a gamma-ray with an energy of 700 keV. Homework Equations...

The process is known as counter-propagating Spontaneous Parametric Down-Conversion (CP-SPDC). In regular SPDC, a photon from a (pump) laser enters a transparent nonlinear crystal at rest, and gets converted into a pair of photons whose total energy and momentum add up to that of the original...

I am interested to know what is the impact of various length scales of impedance changes on wave propagation. From undergraduate physics (a few years ago for me) I roughly remember how to derive reflection and transmission coefficients for a wave traveling from one medium to another with a...

Homework Statement Homework EquationsThe Attempt at a Solution I don't know how to do part d. For di, i know that separation of arm d should be small in order to have spatial coherence. For dii, what is the meaningful criterion, can I say the primary max of blue light lies on the first zero...

Homework Statement A new particle with the mass of 317 GeV and natural width which is much smaller than the mass resolution of the detector is under investigation. It decays into two photons with equal energies, which are detected in the electromagnetic calorimeter. If one searches the particle...

Dear all, We were trying to solve the following question but did not quite understand what to do. The question is as follows: The reconstructed invariant mass is usually described by a Gaussian (or Normal) distribution. However, the resolution σ (the width of the distribution) is found to...

Hi, I want to solve the p.d.e.: ##\frac{\partial u(x,t)}{\partial t} - \frac{\partial^2 u(x,t)}{\partial x^2}=f(x,t)##, with periodic boundary conditions ##u(x,t)=u(L,t)##. using a second order Runge-Kutta method in time. However, I am not having the proper results when I apply this method to...

I've often wondered at the "resolution" of the human visual system but it's not at all clear from what I've read whether this question even makes sense. As a sort of general position, many of the articles I've read suggest that the human eye, over the full field of vision, delivers around...