What is Spectrum: Definition and 764 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. J

    What is the significance of the complex Fourier spectrum in signal processing?

    I feel I have a good grasp of the complex Fourier series, but I'm struggling with a few things still. When I take, say, an fft in MATLAB (with an even number of data points) I obtain a spectrum that looks like this [DC] [ + freqs ] [Real Valued Number] [-Freqs] With...
  2. V

    Calculating the Neutrino Spectrum for Cr Decay to V

    One more question (I'm wary I'm totally spamming the forum!).. its in reference to the decay of Cr to V, see attached files. The decay is clearly beta plus decay. p->n+positron+antineutrino The question asks to determine the neutrino spectrum. Now the energy of the neutrino is simply...
  3. D

    Mass Spectrum * Fragmentation:

    [SOLVED] Mass Spectrum * Fragmentation: 1. The problem, I've been having is how to tell a certain m/z (mass per a charge) value for fragmentation. Like the examples they give in the book have the values, but then we are expected to know the values of diffrent compounds, that aren't even in the...
  4. S

    How to predict the frequency of NMR spectrum

    I have a molecule and I'm barely accostumed to H-NMR and C-NMR this has neither it's trifluorophosphine I have to predict the splitting, intensities and frequency the first two I think I have some idea about but I don't even know where to look on how I could calculate this it seems like if...
  5. S

    Spectrum of operator's exponent

    Let A be a bounded operator in complex Hilbert space. Prove that \sigma(Exp(A))=Exp(\sigma(A)). It is known, that \sigma(P(A))=P(\sigma(A)), where P is a polynomial. In addition, if an operator A has a bounded inverse, then for any operator B such that ||B||<1/||A^{-1}|| their sum A+B...
  6. F

    Planck Spectrum and wavelength subsitution

    All the below is presented in latex format. In Schroeder's intro to thermal, problem 7.38, he asks you to substitute \lambda = \frac{hc}{\epsilon} into the following equation \frac{U}{V} = \int^{\infty}_{0} \frac{8 \pi \epsilon^{3}/(hc)^{3}}{e^{\epsilon / kT}-1} d \epsilon...
  7. J

    Hadron Mass Spectrum: Can We Calculate It?

    Why have I not seen equations that would tell the masses of hadrons as functions of other constants, like masses of quarks, and some coupling constants? After all, aren't the different hadrons merely different excitation states of some bound systems, and in principle it should be possible to...
  8. L

    About observing the mewcury spectrum with a Fabry-Perot interferometer

    [SOLVED] About observing the mewcury spectrum with a Fabry-Perot interferometer Hello! I've been trying to observe the interference fringe pattern from a mercury discharge tube, but the pattern has not already shown up. I simply don't understand what I'm doing wrong. The first thing I did...
  9. E

    Why Can Some Electromagnetic Waves Pass Through Materials While Others Cannot?

    Hi all. I'm an A Level Physics student and my teacher couldn't really answer this question i had.. Why can Radio Waves, Micro Waves, X Rays and Gamma Rays go through things (like walls etc) but the others can not. My understanding is that they are all just different frequencies of photon...
  10. M

    Is rainbow a prismatic spectrum or grating spectrum ?

    Is rainbow a prismatic spectrum or grating spectrum ? I think it is a grating spectrum as Deviation Order(violet least and red most) is same as that of grating Source is at infinity (sun) Image is at infinity
  11. B

    The spectrum of reflected light from a planet question.

    Is the spectrum of reflected light of a planet the same as the spectrum of the star near it but just less in magnitude? Like when you do B(Lambda;T) for it you just multiply that answer by the albedo?
  12. S

    How can I graph the color spectrum underwater based on my scuba diving data?

    hi guys I am new here. for my final year physics assignment i am testing how colors are absorbed under water at different depths. i am planning to go scuba diving and take photos of a color spectrum at certain depths as was wondering if anyone here new much about this and would be able to...
  13. S

    Perturbation spectrum after inflation

    The spectrum of perturbations at the end of inflation, which turns out to be flat and slightly red shifted, is calculated under the assumption that each perturbation mode crosses some initial time in the comoving coordinates with 'minimum energy allowed by the Heisenberg uncertainty principle'...
  14. P

    The Electromagnetic Spectrum: Wavelengths, Limits, and the Universe

    Are there wavelength limits at either end of the Electromagnetic spectrum? Is it true there could be a wavelength the size of the universe? What happens at the other end? Is there a quantum limit?
  15. P

    Spectrum of Hermitian operator

    Homework Statement Show that the spectrum \sigma of a linear continuous Hermitian operator A on a Hilbert space H consist of real numbers, ie \sigma(A)\subset \mathbb{R} . Homework Equations Well the spectrum of A are the elements \lambda\in\mathbb{C} such \lambda I - A is NOT...
  16. R

    Why Does the Absorption Spectrum Have Fewer Lines Than the Emission Spectrum?

    I found an emission spectrum and an absorption spectrum of some element in my book. The lines match, but there are less lines in the absorption spectrum... What's the meaning of this? All other examples I found on the internet have the same amount of lines, which seems pretty logic to me.
  17. R

    Spectrum of flux for a synchrontron source

    The spectrum of flux for a synchrontron source ( AGN for example) drops off at low frequencies. Is that a sensible situation? How comes??
  18. M

    Solving the Math for D-Lines in Sodium Spectrum

    Homework Statement I'm having some trouble working out the math for the D-lines in the sodium spectrum. Now the measured wavelengths are 5889.96 angstroms and 5895.93 angstroms. It's easy enough to find the energy difference between these to be .00213 eV. Now I'm supposed to be able to...
  19. C

    Fourier Transform Power Spectrum

    Input: sine wave at 10Hz, amplitude 1. After the transform the plot has a spike at 10Hz with amplitude 0.5. If I vary the amplitude of the sine wave I get: sine amp. - FT spike amp. 1 - 0.5 2 - 2 4 - 8 So it seems A' = A^2/2 Is this because power is proportional to A^2 and it is...
  20. D

    Stereo oscilloscope and spectrum analyzer

    I need to implement a stereo oscilloscope and spectrum analyzer using C or matlab.. I am familiar with the basic commands regarding wav files in matlab. i also created a very simple music synthesizer. regarding the stereo oscilloscope, how do you get to display the sound wave in real time...
  21. M

    Light spectrum analyzer software

    Do you know some soft. which could analyze light spectrum(.jpg)?
  22. T

    Power spectrum of short signals

    I am looking for a way to calculate the power spectrum of short signals of variable duration (between 200 and 500 ms). Standard methods seem wildly inaccurate. Are there any tricks for short segments? Thanks anyone for a response.
  23. M

    Oscilloscopes and spectrum analyzers

    I know both can graph waveforms but I'm a bit confused about what spectrum analyzer graphs tell you. I read an explanation that says http://www.andrew.cmu.edu/user/ebuehl/robosapien-lirc/oscilloscope.jpg That I understand but the explanation of spectrum analyzers is a bit more...
  24. J

    News Where do maths people generally stand on the political spectrum?

    Id think theyd be rational free market types but some maybe more socialist wanting more funding for maths departments. I didnt realize there was a general area here till today.
  25. A

    Calculating the power spectrum

    Homework Statement Calculate the power spectrum in dBm of a zero offset, 10MHz square wave with amplitude A from DC to 50MHz. Homework Equations - The Attempt at a Solution I was given this problem but am not sure how to go about solving it. Is the power spectrum the same as the...
  26. S

    Need some help interpreting the muon energy spectrum

    I have been looking at the flux of muons (as secondary cosmic ray particles) at the Earth's surface as a function of both energy and angle from the zenith. From what I have read, the flux follows a squared cos theta relationship with angle from the zenith and several attempts have been made to...
  27. M

    Doppler effect spectrum of a star

    Homework Statement An astronomer observes a hydrogen line in the spectrum of a star. The wavelength of hydrogen in the laboratory is 6.563 x 10-7m, but the wavelength in the star’s light is measured at 6.56186 x 10-7m. Which of the following explains this discrepancy? A) The star is...
  28. K

    Can a self adjoint operator have a continous spectrum ?

    Can a self adjoint operator have a continuous spectrum ?? If we have a self adjoint operator Ly_{n} = \lambda _{n} can n take arbitrary real values (n >0 ) in the sense that the spectrum will be continuous ? and in that case, what is the orthonormality condition for eigenfunctions...
  29. J

    Is Earth's Emitted White Light Continuous in Space?

    If white light were emitted from Earth's surface and observed by someone in space, would its spectrum be continuous? Explain.
  30. M

    How do other types of optical spectrum analyzers work?

    Okay, I'm writing about optical spectrum analysers as part of my AS coursework, but I've been having some problems finding more in depth information on how they work. Can anyone explain to me how they work? Or link me to a website that can tell me? Thanks,
  31. F

    Understanding BPSK Spectrum: Differences from DSBSC Signal Generation

    I have heard that the specturm for a BPSK signal looks like similar to the spectrum for DSBSC, but when I generate a BPSK signal and look at it on the spec an it does not look like DSBSC. I tried generating it with a Sig Gen using an internal square wave for the modulating signal and I also...
  32. J

    Line spectrum and energy levels

    Homework Statement What does the line spectrum reveal about the energy levels in an atom? The Attempt at a Solution The energy levels are quantized is that right?
  33. B

    Comparing Emission Spectrum of Moving & Stationary Hydrogen

    Homework Statement Ok guys, Helping my girlfriend out once again. She(if you haven't seen this before) is in Physics 101...yet, I(have taken all engineering courses) can't figure these out. Their book is absolutely terrible! Please give an answer that I can understand(as I like to learn...
  34. B

    Polarizers spectrum selectivity

    I read that of what comes out of a polarized filter at 0° if we put one at 45° the output is 85% of the remainings photons. My questions are: 1) what is the selectivity curve of the polarizers versus the light spectrum ? 2) is the output coming out from the second filter depend on the...
  35. C

    Analyzing the Energy Spectrum of Two Identical Particles

    Homework Statement Two identical particles are descibed by: H(p,x)= H(p_{1},x_{1})+H(p_{2},x_{2}) where H(p,x)=\frac{p^{2}}{2m}+\frac{1}{2}m\omega^2x^2 Separate to CM, obtain energy Spectrum. Show it agrees with: H\psi (x_{1},x_{2}) = E\psi (x_{1},x_{2}) with \psi...
  36. F

    FM Spectrum Questions - Answers Needed

    I have a few questions regarding the spectrum of FM... 1. What is the equation that predicts where the sidebands will occur in an FM signal given a certain FM rate and deviation? 2. If I have an FM signal with a rate of 16 KHz and a deviation of 5 KHz and I look at the signal on a spectrum...
  37. Amith2006

    Fine structure of sodium spectrum

    Homework Statement Estimate the strength of magnetic field produced by the electron’s orbital motion which results in the 2 sodium lines(5890 & 5896 Angstrom). Homework Equations The Attempt at a Solution Let E be the potential energy of a magnetic dipole when placed in an...
  38. N

    Finding the shortwavelength limit of the white spectrum

    Homework Statement I am trying to find the short wavelength limit ( and consequently plankcs constant) of the white or bremstrahlung spectrum. The data came from the bragg scattering of x-rays produced from a copper anode scattered of a NaCl crystal. The graph is counts vs degrees. The...
  39. K

    Spectrum flip dependent on background

    Hi This is probably pretty basic but I've asked a few times in various internet forums over the years and never gotten an answer. If you print a black bar on a white packground and a white bar on a black background and view each bar through a prism, held at the same angle, the spectrum...
  40. A

    What type of spectrum does a heated rock emit?

    hi guys, i am having trouble with a problem. it's as goes: if you heat a rock until it glows, its spectrum will be: (a) a thermal radiation spectrum (b) an absoprtion line spectrum (c) an emission line spectrum I think it's thermal radiation spectrum because it seems like the rock is...
  41. C

    How Do You Calculate Additional Wavelengths in an Emission Spectrum?

    I solved a, but I couldn't figure out b... I've tried different combinations but nothing turned out correctly... Homework Statement The emission spectrum of an unknown substance contains lines with the wavelengths 172 nm, 194 nm , and 258 nm, all resulting from transitions to the ground...
  42. H

    Canberra CNF Spectrum File Convert ?

    I want to convert canberrra CNF spectrum file to ASCII file. I found a program (IAEA, Winspedac) for converting, but program needed sad.dll file. :confused: Please help me. :cry: Thanks a lot.
  43. E

    A problem about solid spectrum

    Why solid send out comtinuous spectrum when it is heat.
  44. P

    Continuous spectrum and weak solution of eigenvalue equation

    Hi All! Preliminaries: Let H denote the Hilbert-space, and let A be a densely defined closed operator on it, with domain $D(A) \subset H$. On D(A) one defines a finer topology than that of H such way that f_n->f in the topology on D(A) iff both f_n->f and Af_n->Af in the H-topology. Let...
  45. S

    LED Spectrum Analyzer schematics

    Hi, I am looking to build a basic spectrum analyzer (if that is what you would call it) out of some LED lights for a car stereo. Basically, I want about 8 - 10 bars (for different frequency bands), and I want them to jump up and down to the music, giving it a direct feed off of the car...
  46. D

    EM Spectrum Continuous or Discrete?

    I have a question about the EM Spectrum. Is it existing in strips or is it completely continuos? Can a photon have a frequency of any value or does it have to have specific wavelengths according to the space between 2 electron orbits? I understand photons are generated when an electron drops...
  47. Z

    SPECTRUM video + feedback videos

    Hi I'm a video artist, interested in philosophical aspects of science (also beeing on 5th year of electronics course at Gdansk University of Technology). I would like to invite you, the understanding part of population, to watch my latest production, called spectrum...
  48. D

    PHYSICS OF MUSIC: Pitch is organ pipes & vibration spectrum

    Hi. I would really appreciate it if someone could tell me whether I'm correct or not. :smile: 1. An open pipe (open at both ends) and a closed pipe (closed at one end) are the same length. If an organ blows air across the top of each pipe, what is true of the frequency (and pitch) of the...
  49. D

    OFDM vs Frequency Hoping spread spectrum

    Hi i am not surew i have well understand some issues about modulation schemes. I have read that the 802.16 use ofdm modulation and FHSS technique. Can someone explain what's the difference between OFDM and FHSS and how these two things cooperate?
  50. D

    Frequency Hoping spread spectrum question

    Hi to everyone.. I am just reading an artical abouts FHSS... as it describes the frequency hoping adds security to the system cause u must know the algorithm for the frequency changes:) Unfortunately the article doesn't mention if this algorithm is transmitted at the start of the conversasion...
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