A spectrum (plural spectra or spectrums) is a condition that is not limited to a specific set of values but can vary, without steps, across a continuum. The word was first used scientifically in optics to describe the rainbow of colors in visible light after passing through a prism. As scientific understanding of light advanced, it came to apply to the entire electromagnetic spectrum. It thereby became a mapping of a range of magnitudes (wavelengths) to a range of qualities, which are the perceived "colors of the rainbow" and other properties which correspond to wavelengths that lie outside of the visible light spectrum.
Spectrum has since been applied by analogy to topics outside optics. Thus, one might talk about the "spectrum of political opinion", or the "spectrum of activity" of a drug, or the "autism spectrum". In these uses, values within a spectrum may not be associated with precisely quantifiable numbers or definitions. Such uses imply a broad range of conditions or behaviors grouped together and studied under a single title for ease of discussion. Nonscientific uses of the term spectrum are sometimes misleading. For instance, a single left–right spectrum of political opinion does not capture the full range of people's political beliefs. Political scientists use a variety of biaxial and multiaxial systems to more accurately characterize political opinion.
In most modern usages of spectrum there is a unifying theme between the extremes at either end. This was not always true in older usage.
Homework Statement
The problem asks:
The index of refraction for violet light in silica flint glass is 1.66, and the index of refraction for red light is 1.62. What is the angular spread of visible light passing through a prism of apex angle 60 degrees if the angle of incidence is 50.03...
Hello PF members,
I'm currently working on a project alongside others who are interested in the topic of searching for wavelengths beyond the EM spectrum. We've been through countless piles of literature and seem to have a mixed opinion. Our question is simple (ironically):
What type of...
My general question is:
What is the angular power spectrum C_{l,N,ω} of N weighted (weight ω_i for event i) events from a full sky map with distribution C_l?
I'm interested in:
Mean of C_{l,N,ω}: <C_{l,N,ω}>
Variance of C_{l,N,ω}: Var(C_{l,N,ω})
The question is important, since we observe in...
There is a whole spectrum of human body types but they can pretty much be nailed down to 3 factors:
Bone
Fat
and
Muscle
Of course skin plays a role and several other things play a role but those 3 I listed above are the primary factors.
In fact, you can think of these as axes in 3D space. So...
Hello Experts,
I have created this thread especially for clearing some of the important concepts of Antenna and Designing Issues.
I have a question for all of you, related to Dipole Antenna.
I have designed a Folded Dipole Antenna resonating at center Frequency of 145.800MHz.
This antenna is...
Homework Statement
The energy of a daughter particle in electromagnetic shower is approximated by, ##E(t)=\frac{E_0}{2^t}##. Show that the energy falls off like approximately ##E^{-2}##, for small ##E##.
Homework Equations
Nothing really. Just a matter of knowing how to differentiate.
The...
<mod note: moved to homework>
Calculate the spectrum of the linear operator ##T## on ##B(\ell^1)##.
$$T(x_1,x_2,x_3,\dots)=(\sum_{n=2}^\infty x_n, x_1, x_2, x_3, \dots)$$I think the way to do it is to find the point spectrums of ##T## and its adjoint ##T^*##. But I don't know how to calculate...
Hi all, the title is probably a bit confusing but I was wondering.
What determines the type of light emitted when electrons move down electron shells and emit energy? Why isn't all the light emitted the same colour?
1. Question
Suppose you examined the spectrum of some nebulosity surrounding a main-sequence spectral-type O star and found that it contained no emission lines, only the continuous spectrum of the star. What conclusions could you draw about the nature of the interstellar material around that...
Hi,
I need some help to calibrate argon spectrum.
I have a MicroLab Spectrometer (Model 141) to obtain spectral images of argon plasma. To calibrate the spectral images, I need a reference of known wavelength.
Usually, a discharge tube is used to obtain the reference spectrum. However, I...
If you consider the one-dimensional case of a particle constrained to move on the edge of a circumference, the energy spectrum is continuous and two times degenerate. Why the fact that the particle can move in clockwise and counterclockwise implies that the spectrum is degenerate twice?
In any...
I was going through Figure S9 in this paper yet don't quite understand how one can assign a probability density to a dynamic spectrum measurement as the authors do. To my knowledge, a dynamic spectrum simply displays the intensity for each frequency channel against time as shown in Figure 1C of...
Hi,
The x-ray consists of the bremsstrahlung spectrum and the characteristic spectrum. We can get x-rays by using Coolidge tube where there are an applied voltage on the tube between the filament and the target. The bremsstrahlung is depeding on the PD between the filament and the target, but it...
Homework Statement
I watched two videos on KhanAcademy, one was about light interference with 2 slits and the other was with 4 slits. The video with 2 slits got a continuous spectrum whereas the one with 4 slits got a discrete spectrum. So my question is: how many slits does it take to get a...
Homework Statement
Link: http://i.imgur.com/JSm3Tqt.png
Homework Equations
##\omega=2\pi t##
Fourier: ## Y(f)=\int ^{\infty}_{-\infty}y(t)\mathrm{exp}(-j\omega t)dt##
Linearity Property: ##ay_1(t)+by_2(t)=aY_1(f)+bY_2(f)##, where a and b are constants
Scaling Property...
Why is the power spectrum defined as
##P(k) = \frac{k^3}{2π^2} |w_k|^2 ##
where ##w_k## is the mode function?
Cosmology books and papers just states that it is defined that way but there are no details on why.
maybe it is emission spectrum of the sun but, seems continuous... unlike few distinct lines of the hydrogen emission spectrum...few images i just checked about it are similar to absorption spectrum...then maybe difraction could have made emission spectrum seem so or maybe not...
Well I am very...
In making cosmological measurements, we are limited to the region within the particle horizon, the 'observable universe'. However, it is reasonable to assume that even if the universe is finite, it is much larger than that volume. If, for example, we measure the curvature ##\Omega_K##, the value...
I have been reading the TASI Lectures on Inflation by William Kinney, (https://arxiv.org/pdf/0902.1529v2.pdf).
I came across the mode function eq (128) (which obeys a generalization of the Klein-Gordon equation to an expanding spacetime), as I read through until eq (163), I know that it is the...
I am trying to derive the energy spectrum of a 1D chain of identical quantum oscillators from its Hamiltonian by Fourier transforming the position and momentum operator.
I came across this: https://en.wikipedia.org/wiki/Phonon#Quantum_treatment
However, I am unsure of the mathematics...
Homework Statement
The line spectrum of a certain substance consists of three prominent lines; blue (B), yellow (Y) and red (R). When the spectrum is examined with a diffraction grating having d = 4 * 10-6 m, it is found that the sequence of lines, moving from the centre, is B, Y, R, B, Y, B...
I understand the inflation predicts a nearly scale invariant power spectrum but some have claimed this was predicted before inflation (by Harrison and Zeldovitch?)
My understanding is that perfectly scale invariance would predict ns=1 but inflation predicts ns =.96. So did the prior prediction...
http://<img src="https://latex.codecogs.com/gif.latex?L_{2}[0,1]->L_{2}[0,1]\int_{0}^{1}\left&space;|t-s&space;\right&space;|f(s)ds" title="L_{2}[0,1]->L_{2}[0,1]\int_{0}^{1}\left |t-s \right |f(s)ds" />[/PLAIN] I have many doubts on linear operator. How I can find a spectrum of a linear...
I was bored today so I took this diamond shaped crystal made of glas and simply put in infront of the light emitting from the sun. What I noticed was a lot of lines on the wall that were strangely colored, just like the electromagnetic spectrum. One end was blue, then progressively went to red...
hi,
i did an experiment of photoluminescence in the lab and i was wondering about the spectrum of emission.
why we get emission of photons with energies below the energy gap of the semiconductor?
thanks
In this video (), we first took the spectrum of a star and then of a galaxy which look like the following:
However, what I don't get is: if we take the spectrum of a star and then of the galaxy the star is in, shouldn't it give me the same spectrum as they're moving in the same speed? And if...
As far as I know, when we use the spectrum of a star, we see where the absorption lines are and using this, we can detect the elements that are present in the star. We also measure whether those absorption lines are supposed to be for a particular element. But why is it not possible that the...
In the following video (, diagram also given for reference), the professor says that if the graph peaks in a short wavelength, then the star is a hot star (or galaxy) and if it does so in a long wavelength, then it's a cold one. However, I fail to understand this. How does it happen that if a...
Maybe this sounds mad, but does anyone think it would be possible to see wavelengths that are beyond visible light, maybe through genetic engineering or through other technology? There are many animals than can see infrared & UV. Wouldn't it be cool if we could see what radio waves look like?
This 400-700nm slice is the Photosynthetically Active Radiation (PAR) required of plants and, for many applications, there is much unwanted UV and IR heat outside of it.
Is there any known translucent material or film that will pass a high % of that 400-700nm wavelength from sunlight while also...
Hi all, so I am working on a presentation. What I have done so far was to calculate the cosmic ray spectrum (so given some data from Voyager 1 and PAMELA, I found the intensity as a function of the energy, in units of m^-2 (sr s MeV)^-1.
Given this function, which is essentially J =...
I'm trying to understand this python CAMB code: http://camb.readthedocs.io/en/latest/CAMBdemo.html
Scroll down to In[29] and In[30] to see it.
It's an integration over chi (comoving distance), yet scipy.integrate.quad is not called. It seems that the fun stuff happens in the last for-loop in...
Hello everyone,
I'd like to know how to identify the charge and the mass in a mass spectrum. How do I get the mass corresponding to a peak. I know how they are related
p=\frac{m}{z}
p_1=\frac{M_r+z_1}{z_1}
p_2=\frac{M_r+(z_1-1)}{(z_1-1)}
z_1 =\frac{p_2-1}{p_2-p_1}
M_r =...
For any given number(length), say L, is always there an electromagnetic wave with the wavelength L ?
As I know, the source of electromagnetic wave is the energy emission of electrons changing it's quantum state in an atom.
But there are at most about 120 atoms there, and the quantum numbers...
Homework Statement
(Preface: I am not a physicist)
The pulse height spectrum of a radioactive source known to emit high energy photons was measured using a small detector. Three distinct peaks were observed at heights of 7.38, 6.49 and 5.60 V, along with a continuous portion of the spectrum...
I collected FTIR spectrum (using an ATR stage) on a sample and a standard and noticed the following: (1) all the peaks in the spectrum matched, and (2) the standard had several peaks that absorbed more light than the sample (see 2nd page on attachment). Does this mean that the sample is not as...
hi every one
can you tell me how to calculate the absorption coefficient of a thin film using the absorption and the transmittance spectrum plotted as a function of the wavelength (knowing that i don't know the thickness of the film )
In terms of the electromagnetic spectrum, are there wavelengths of light corresponding to fractions of nanometers, for example, 0.5 nm, with their own photon energies? Or are whole nanometers "nature's smallests units" when it comes to the various existing wavelengths of light?
Hi all!
I have the following spectrum for a signal force:
and this is a zoom in the range of interest:
Can I state that this force is capable of exciting the natural frequency of the structure ( in the range 5-30Hz) or the force amplitude in this range is too low compared to the peak...
Hi! I have to fit a blackbody spectrum to some data points. The y-axis is in mJy and the x-axis is in log_10(freq). My code looks like this:
from __future__ import division
import matplotlib.pyplot as plt
import numpy as np
from scipy.optimize import curve_fit
h = 6.63*10**(-34)
c =...
Kind of a silly question here, but one that has nagged at me for some time:
Does the word "light" refer to all wavelengths of the electromagnetic spectrum, or only to the visible light that we can see?
Also, if light only refers to visible electromagnetic radiation, then what about ultraviolet...
Hello,
I read at a couple of places about white dwarfs having a spectrum similar to that of the sun.
What does that mean or associate to?
Thanks in advance.
Hi,
I'm a noob when is comes to these kinds of measurements on a spectrum analyzer.
Take for example two LDOs:
1. http://www.analog.com/media/en/technical-documentation/data-sheets/ADM7154.pdf
2. http://www.ti.com/lit/ds/symlink/lp5907.pdf (see figure 17)
They claim...
This is a question about transforming a probability distribution, using the blackbody spectrum as an example.
Homework Statement
An opaque, non-reflective body in thermal equilibrium emits blackbody radiation. The spectrum of this radiation is governed by B(f) = af3 / (ebf−1) , where a and b...
Hello,
Are there any Plank Radiation Spectrums for liquids? What I really want to know is, for a given liquid, what wavelength of light is emitted for a given temperature. For example, if I journey to the center of the Earth, the molten lava is about a thousand degrees, hot enough to emit red...
Background: Normal white Sun light has a continuous spectrum in the whole of visible range. But, white light (rather what we perceive as white) coming out of a Monitor/TV is have only RGB in it and
it looks white because of the Tricolor vision which excites all three types of cells in the eye...
I recently purchased some 660nm LEDs. They look kind of orange not deep red. What is the easiest and cheapest way to determine the emission spectrum. Eventually I wanted to try to use the 660nm LEDs to grow some plants.