Recent content by dan_b_

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    Force Transform Applying: Question on a Specific Case

    When I try to apply the force transformation (the 3 vector one) to the describe following situation, I find a result that I can't make sense of. Hopefully someone can tell me what I'm doing wrong. Suppose observers A and B are in inertial frames, and B travels in the +x direction relative to A...
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    Can light produce weak gravity waves?

    I have read online that light can produce a weak gravitational field (for example antiparallel beams should, in principle, attract weakly). This made me wonder if light can produce minute gravitational waves. Even if the waves were extremely weak (no disregarding of those high order terms in the...
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    Transforming Maxwell's Equations in Special Relativity.

    I found a great article which shows the omitted steps in Einstein' derivation of the E-M fields transformations. I am pretty sure this is what you are/were looking for. It's what I was looking for too. Check out the article at: h--p://fds.oup.com/www.oup.com/pdf/13/9780199694037.pdf...
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    Can Maxwell's equations alone explain the momentum of EM radiation?

    If the radiation is absorbed by a solid object rather than by a single atom, collisions between the atoms broadens the absorption peak into a band. But how does one relate the phase of the absorbing group of interacting atoms and the incoming wave? To predict the instantaneous longitudinal force...
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    Can Maxwell's equations alone explain the momentum of EM radiation?

    Snoopies - I believe that the induced oscillation frequency is just that of the driving force/wave whether it matches the resonant frequency or not. The difference between the two frequencies will affect the amplitude of vibration, not the induced oscillation frequency (and the amplitude is...
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    Can Maxwell's equations alone explain the momentum of EM radiation?

    The assumption was the low driving frequency limit, where f(wave) << f(resonance). Then the electron's transverse displacement will be in phase with the transverse force from the electric field. The electron's transverse velocity would be 270 degrees behind the force and displacement (or 90...
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    Reflection and radiation pressure.

    Insofar as wavelength shifts are concerned, they can be explained by the Doppler effect. If a photon is reflected from a low mass mirror, during the interaction the mirror is in recoil and the reflected photon is red-shifted. In a closed box, if a photon is reflected from the left wall giving...
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    Can Maxwell's equations alone explain the momentum of EM radiation?

    I think maybe my assumption that the displacement of the vibrating electron is completely in phase with the incident wave was too extreme. For low frequency radiation, although the sinusoidal displacement function lags the electric field by a very small amount, this amount can't be ignored...
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    Radiation pressure - classical description

    I had a look at the Poynting vector information that you recommended - thank you for the suggestion. It seems like Poynting vector arguments justifiably ignore the nature of the interaction of the wave and matter, in that conservation of E and p are sufficient to predict a formula for the amount...
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    Can Maxwell's equations alone explain the momentum of EM radiation?

    Snoopies - thanks for your response. It sounds like your second idea involves considering the effect of the interaction of a secondary wave (produced by the vibrating electron) and the incident wave. If the absorber was a single atom or maybe an antenna, then I guess the secondary wave would...
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    Radiation pressure - classical description

    I have a question about the e-m explanation of radiation pressure. As I understand it, when an e-m wave with low frequency strikes a material with a much higher resonance frequency, the displacement of the electron relative to the atom will be in phase with the electric field (well opposite...
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    Can Maxwell's equations alone explain the momentum of EM radiation?

    I have a question about the e-m explanation of radiation pressure. As I understand it, when an e-m wave with low frequency strikes a material with a much higher resonance frequency, the displacement of the electron relative to the atom will be in phase with the electric field (well opposite...
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