What is Spectrum: Definition and 765 Discussions

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.

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  1. Q

    Angular spread of light rays passing through a prism

    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...
  2. S

    I Searching Beyond EM Spectrum: Tech Needed to Discover New Wavelengths

    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...
  3. C

    A Angular power spectrum, bias from N weighted events

    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...
  4. caters

    What are the 3 main factors that determine human body types?

    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...
  5. Shubham Jaydeokar

    How to test a simple Dipole Antenna on Spectrum Analyser?

    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...
  6. V

    Electromagnetic shower energy spectrum

    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...
  7. KennethK

    Calculate the spectrum of a linear operator

    <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...
  8. Klupa

    B Light determination for emission spectrum

    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?
  9. J

    Nebulosity of an O Star (Homework Question)

    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...
  10. J

    Calibrating Argon Spectrum with MicroLab Spectrometer Model 141

    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...
  11. Lola1

    I Spectrum energy of a particle moving on a circumference

    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...
  12. T

    What is a dynamic spectrum measurement?

    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...
  13. Samar A

    B What is the minimum voltage required to get characteristic spectrum

    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...
  14. D

    How many slits for a discrete spectrum?

    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...
  15. Captain1024

    Find Fourier transform and plot spectrum by hand & MATLAB

    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...
  16. S

    I Why is the Primordial Power Spectrum Defined as P(k) = (k^3)/(2π^2)|w_k|^2?

    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.
  17. Likith D

    B What type of spectrum is a rainbow?

    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...
  18. GeorgeDishman

    B Observational limit from the super-horizon mode spectrum

    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...
  19. Clara Chung

    B Line absorption spectrum and stars

    Why can't hydrogen gas on the stars be detected by using line emission spectrum of hydrogen. Why must we use line absorption spectrum to detect?
  20. F

    I How to Understand the Primordial Power Spectrum in TASI Lectures on Inflation?

    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...
  21. S

    I Energy spectrum of a chain of quantum oscillators

    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...
  22. moenste

    Find the wavelength of the blue line (line spectrum)

    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...
  23. W

    I Scale invariance in the power spectrum

    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...
  24. M

    A What Is the Spectrum of a Linear Operator in L2 Spaces?

    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...
  25. M

    Crystal leaving patterns of the electromagnetic spectrum?

    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...
  26. B

    I Spectrum of emission in photoluminescence

    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
  27. P

    I How can we measure a galaxy's velocity via a star?

    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...
  28. P

    I How Can We Measure Redshift Using the Spectrum of a Star?

    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...
  29. P

    I Determine the temperature of a star via its spectrum

    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...
  30. Frozen

    Seeing more than the visible light spectrum

    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?
  31. S

    Any sunlight band pass filter for 400-700nm of EM Spectrum?

    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...
  32. U

    A Ionization Rate for Cosmic Rays, given the CR spectrum

    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 =...
  33. sunrah

    CAMB python convergence power spectrum code

    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...
  34. mikeb94

    I Mass Spectrum Analysis: Identifying Mass & Charge

    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 =...
  35. S

    A question about the light spectrum

    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...
  36. S

    Determining Gamma Ray energy from spectrum

    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...
  37. L

    A Does Matching FTIR Peaks Indicate Sample Purity?

    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...
  38. R

    Interpretation of a signal (sound) spectrum - hydrophones

    ooops so obvious sorry! please delete
  39. G

    I What is the Bremsstrahlung Spectrum function?

    What is the function that describes the shape of this Bremsstrahlung X-ray spectrum curve? Ignore the characteristic "spikes".
  40. sounouhid

    A Relation between the absorption coefficient and the transmittance spectrum

    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 )
  41. DavidReishi

    B Wavelengths corresponding to fractions of nanometers?

    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?
  42. G

    Automotive Load Spectrum and excited frequency

    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...
  43. S

    Fit blackbody spectrum to data in python

    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 =...
  44. S

    Semantics Q about electromagnetic spectrum and light

    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...
  45. M

    I What is the similarity between the spectra of white dwarfs and the sun?

    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.
  46. U

    How does a spectrum analyzer measure Noise Spectral Density

    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...
  47. Ryaners

    (Statistics) Blackbody spectrum in terms of wavelength?

    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...
  48. A

    A Plank Radiation Spectrum Liquids Wavelength VS Temp

    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...
  49. Anand Sivaram

    Perceived Color of objects: in White light from a TV

    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...
  50. Lotic7

    I Determine emission spectrum of an LED

    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.
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