Resolution Definition and 291 Threads

Homework Statement For the space Lw2(a,b), we can write the basis in a discrete fashion as {en|n∈ℤ} or in a continuous fashion as |x> (as we would in quantum mechanics for the position representation), such that we may write the identity operator as either I=∑n|en><en| or I=∫abdxw(x)|x><x|...

Homework Statement Hi all, I have been given the task of quantifying the energy resolution of a p-i-n semi-conductor x-ray detector and present it as a value in electron volts Homework Equations %Resolution=E FWHM / Ei Where E FWHM is the full width half maximum of a peak and Ei is the...

Hi all, In a diffracted limited microscope the resolution has a limit given by the Airy disk and this gives rise to the Rayleigh criteria. But if I deconvolve the observed image removing the psf then I eliminate the diffraction effects and I can resolve any distinct points, whatever close they...

Hello Forum, Resolution is an angular distance (measured in fractions of an 1 degree angle). The lower the resolution the better. It represents the ability to distinguish two objects that are very closer to each other. For an optical system, the resolution increases when the diameter D of...

Please look at the problem. The problem is solved for me. However, I don't understand why the angle alpha is considered to stay constant when the rays go through the lens. The ray along the distance s DOES NOT get refracted, which I agree. But the ray along the top point of the circle DOES get...

Hi all, I've been toying with an idea lately and I'm wondering if any of you could help me out. Is there any method you know of to heat an area roughly 5 nm in diameter? I've thought about laser radiation for a while, but of course we are limited by wavelength. 5 nm would force us into the...

Homework Statement An A/D converter is to operate with a full-scale voltage of 10V. How many bits should be employed to obtain a resolution of 0.01%? Homework Equations Resolution = Full Scale voltage / (2N - 1) The Attempt at a Solution .01% * 10 V = .01/100 * 10 V = .001...

Nice general collection of high resolution astro images. http://www.holtz.org/Library/Images/Slideshows/Gallery/Cosmic/

In a Hilbert-space whose dimensionality is either finite or countably infinite, we have the discrete resolution of identity \sum_n |n\rangle \langle n| = 1 In many cases, for example to obtain the wavefunctions of the discrete states, one employs the continuous form of the resolution...

Homework Statement I need to solve this integral \int\int\intdxdzdy+\int\int\intdxdzdy First limits are: -\sqrt{z^{2}-y^{2}}\leqx\leq\sqrt{z^{2}-y^{2}} -y\leqz\leq1+\frac{y}{2} -\frac{2}{3}\leqy\leq0 Second limits are: -\sqrt{z^{2}-y^{2}}\leqx\leq\sqrt{z^{2}-y^{2}}...

Homework Statement The pupil of the human eye is normally around 5mm in diameter. A person with 20/20 vision should be able to read letters 9mm high at a distance of 20m, while in Chapter two of The Two Towers Legolas can resolve objects of around 10cm size at a distance of five leagues...

Hi, I have encountered the problem of energy resolution of neutron triple-axis spectrometer, which we haven't covered during our solid state physics lectures. I don't know where do we get the equation for the energy resolution from and even the numerical calculations in the solution seem...

Hello All I am using a very basic delay line interferometer to measure the linewidth of a laser source. Basically there is a 1550nm laser that emits light which is split, and one half of the light travels down a 700m delay line before being recombined and the interference is observed. This...

My question involves understanding why there is a limit to resolution of a microscope. I have a hard time putting what i think is happening into words. My attempt: When light of some wavelength strikes an object on the scale of that same wavelength it gets reflected. Since the details on...

Hi all, I have a couple of questions about the process of kohler illumination (optimised condenser alignment) in brightfield microscopy and how this affects the final resolution attained. Resolution concerns the minimum detectable distance between two objects and the closer to structures...

Let say we have NxM pixels and we need to cut it down to 2/3*(NxM) The correct method to achieve this is to convolute the original image with sinc(k)sinc(l), then used the nearest neighbor technique to on the convoluted image. Where k and l is matched to the frequency content of the lower...

Homework Statement Considering larger objects, a skyscraper has two tall antennae separated by 3 meters. Each antenna has one blue and one red light. You can resolve the two blue lights but not the red ones. Assume that your pupils have a diameter = 2 mm at night, and that blue light's...

Hi all, this is 1 of my homework questions. The resolution of microscopes is approximately half the illumination wavelength. a) Assuming a visible microscope has an average wavelength of 550 nm, what is the resolution limit? I'm not sure what my teacher means by resolution limit?

I found online that if you want to increase the resolution of ADCs by n-bit, you need to oversample by 4^n times. My question is, why is it not that if you want to increase by 1-bit, you need 2 times the samples and 2-bit, you need 4 and 3 - bit you need 6?

Homework Statement Hi, I just had a quick conceptual question. I understand that if I have an object moving down a ramp, it is being accelerated only by gravity. My question is this: We should be able to experimentally calculate g if we measure the acceleration down the ramp. Then we can...

Hi, My paper has been accepted by a journal. However, I have a problem with the images... The reviewer says: "it seems that the authors are importing or inserting .png or .jpeg format pictures (Figure 2, 4 , 7, 8, 9 , 10, 11, 12). I would recommend saving them in a vector graphics format...

Homework Statement Hi, there there is one question, which I find it to be solvable, but the answer is that it cannot be solved. Can someone explain me the answer given. I think there is a mistake on the underlined row, which leads to wrong answer. I am not sure, so if someone can help me I...

Hi all, I was wondering what factors determine axial resolution in spherical lenses. I know that axial resolution in conventional light microscopy at least is about half as good lateral resolution. I've read about the huygens-fresnel principle of diffraction and how this can account for the...

I cannot understand what is vector resolution.It is said in the book that ON is the resolved part of A along X axis.It is also known as the x-component of A or the horizontal component of A.Ax may be regarded as the projection of A on X-axis. OM is the the resolved part of A along Y-axis.It is...

Hi all, I have a question about airy patterns and how these determine resolution in images. So to increase resolution the airy pattern should be made smaller. In microscopy this is achieved by using higher numerical aperture lenses and shorter wavelengths. I have also read that the more...

Homework Statement A lens is designed to work in the visible, near-infrared, and near-ultraviolet. The best resolution of this lens from a diffraction standpoint is Options: a.) the same for all wavelengths. b.) in the near-ultraviolet. c.) indeterminate. d.) in the near-infrared. e.)...

Resolution in "degrees"? Homework Statement In the following scheme we see the channels spreadout of an absolute coder with 5 bits that works on a regular binary code. What's his resolution in degrees? http://img705.imageshack.us/img705/475/01234v.jpg The Attempt at a Solution I...

Homework Statement A load cell converts weight to voltage. It's known that the transmission of a certain measurement system is 5 mV/kgf In a computerized control system, it is necessary to translate the analog signal, which the transducer sends off, to a digital signal through an A/D...

When working problems using Rayleigh's Criteria: θmin=1.22 [λ/D] Why do the answers come out in radians? I'm sure it has something to do with the aperture being circular but I don't understand why. Thanks!

If I have a signal, sampled at N data points with a time-interval of T, does this restrict the frequency resolution I can obtain in Fourier space? I understand that from the Nyquist-Shannon sampling theorem it follows that all information on the Fourier transform of a T-sampled signal is...

Homework Statement A block of concrete 5kg is initially at rest on a smooth (frictionless) horizontal surface. It is then pulled along by a constant force A, inclined at 45° from the horizontal. In the first 5 seconds of motion, the block moves a distance of 10m. A: Find the acceleration of...

Homework Statement A particles is under the influence of two forces, 500N at 50° from north and 350N at 350° from north. Find the magnitude and direction of the resultant pull on the particle.Homework Equations ? The Attempt at a Solution x=500cos40-350cos80\\ x=322.25N\\...

Homework Statement A particle is in equilbrium with the forces of 4N north, 8N west, 5√2N south east and P. Find the magnitude and the direction of PHomework Equations ?The Attempt at a Solution A am a bit lost on this question, I can make an educated guess on the magnitude and direction...

Technological advances are now making it possible to link visible-light telescopes so that they can achieve the same angular resolution as a single telescope over 300 meters in size. What is the angular resolution (diffraction limit) of such a system of telescopes for observations at a...

I converted some of my DVD movies and. DVD TV shows to video formats to put on my tablet to watch them. I made them 320x240 at. 2kbps and they look good on my tablet. Now just for fun I connected the tablet to my 73 inch TV with an. HDMI cable. I played it back in full screen and...

Homework Statement Suppose you wanted to be able to see astronauts on the moon. What is the smallest diameter of the objective lens required to resolve a 0.68 m object on the moon? Homework Equations I was told to use Rayleigh's Criterion but i do not see how to relate the equation...

I'm working on a sensor signal conditioning circuit. The sensor output has a 2.5V DC bias with a peak-to-peak voltage swing of about 50mV. The signal output is put through a demodulator and then filter (LPF) to obtain a DC voltage proportional to the out of the sensor. The problem is I need to...

Hi everyone, Please excuse the somewhat basic question. I'm a mechanical engineering student a little out of my realm! I'm doing some work with signal processing and have been given some data (a series of vibration measurements, out of interest). This includes the following: I'm a little...

When calculating angular resolution, is it correct that having a SMALLER number results in GREATER angular resolution? For example, is 26.25" better resolution than 2625"? Using the formula .25"(lambda in micrometre/diamter in meters), it would make sense to me that the larger the diameter...

Homework Statement Hi! I'm doing a problem that asks whether pyrrolidine, C4H9N, could be used to resolve the racemic mixture of ibuprofen. In the correct resolution, we use the chiral base (S)-(-)-α-phenylethylamine as a resolving agent. In this question, it asks whether the base pyrrolidine...

This is a very simple question. Does a larger f-stop lead to an image with a higher resolution? The reason why I think so is that with a larger f-stop (f-stop=f/D), the focal length will be greater, and because the image height is proportional to the focal length when the object is at...

Does telescope aperture size have any effect on the resolution of a spectrometer?

Homework Statement Model the pupil of the eye using a single slit. If the eye is able to notice changes in intensity of 20% show that it can distinguish two objects separated by an angle of 0.00015 radians if =500nm and diameter=4mm. Homework Equations I=Iosin^2((π/λ)asinθ)/...

What is the most democratic* way to resolve some disputes? I have always thought public voting should be the best method to resolve disputes, but now I have come to think that it won't work when the dispute concerns directly the general public. Lets take one example to make this clear. Suppose...

Hi, What is the smallest pulse i can see using an oscilloscope with 1GHz bandwidth? Im interested in the formula that links bandwith and smallest time resolution. Also it would be nice if you could include the reference of where i could read and learn about this things. Thanks and sorry...

Resolution is the smallest change that can be measured by an instrument. Accuracy is the closeness of a measured value its 'true' value. Precision is essentially related to repeatability when you try to do the same measurement a few times. Forget precision for now. We know the terms...

I'm trying to teach myself optics from Frances Sears' book Optics from 1949. I'm attempting every problem, and there are answers to the odd ones in the back. I've gotten a lot of wrong answers and don't know why, had a few I just couldn't even see how to start, and at this point, I'm seeing...

I didn't know that resolutions are defined in volts until today. I never wrote units to them. I read in wiki that... So it can be expressed as both? I'm confused. Must I write units to resolution, or can I interchange them between bits and volts?

Can someone explain the concept of energy resolution to me, especially in gamma cameras. Thanks.

Homework Statement A trailer with a mass of 900 kg with mass centre (centroid) at G is attached to a towing car at A. If the car and trailer reach a velocity of 60 km/h along a horizontal road in a distance of 30 m from rest with constant acceleration, compute the vertical component of...