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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 32, Iss. 1 — Jan. 1, 1942
  • pp: 32–33

Optics InfoBase > JOSA > Volume 32 > Issue 1 > Pressure of Radiation in Moving System

Pressure of Radiation in Moving System

HERBERT E. IVES  »View Author Affiliations

JOSA, Vol. 32, Issue 1, pp. 32-33 (1942)

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HERBERT E. IVES, "Pressure of Radiation in Moving System," J. Opt. Soc. Am. 32, 32-33 (1942)

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  1. H. E. Ives and G. R. Stilwell, J. Opt. Soc. Am. 32, 25 (1942).
  2. "On the Dynamics of Radiation," Int. Congress of Mathematics (Cambridge, 1912), p. 208, and references to earlier articles.
  3. J. H. Poynting, "Radiation in the Solar System," Phil. Trans. A202, 525–552 (1940).
  4. A. H. Bucherer, Ann. d. Physik 11, 274–276 (1903).
  5. H. A. Lorentz, Proc. Amst. Akad. 4, 678 (1940).
  6. M. Abraham, Theorie der Electricität (Teubner, Leipzig, 1905), Vol. II, p. 384.
  7. Larmor, in an appendix to Poynting's paper "On the momentum of radiation," as reproduced in the latter's Collected Works, points out (p. 433) that Poynting's expression for the pressure of a wave-train against a traveling obstacle is in agreement with his own expression for the pressure on a moving mirror, since [equation] This does not however prove Poynting's value correct since also [equation] the value of Er=Ei(c+ν)2/(c-ν)2 being used in both cases. Poynting's expression calls for the incident and reflected radiations to contribute different pressures to the mirror, the expression (7) makes the contributions alike.
  8. The reduction of the distance r to r′=r(1-ν2/c2)½ by the Fitzgerald contraction is offset by the Larmor-Lorentz change of frequency and consequent reduction of amplitude, so that this relation holds equally for r and r′.
  9. In the similar electrodynamic case, for a Hertzian oscillator, as solved by the use of retarded potentials (Bucherer, Ann. d. Physik 11, 276 (1903)) the energy density is [equation] Taking into account the length and frequency contractions we put n=ns(1-ν2/c2)½, and r=rs(1-ν2/c2)½, and get [equation] in agreement with our solution (12) derived from consideration of mechanical wave motion.

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