9. Application to cavity radiation.
We base our calculation on the relative ray path. We consider radiation that encloses angles between and with the direction of motion; it carries – in unit volume through the unit surface of a perpendicular (co-moving) plane – the energy amount:
We call the intensity of the total (relative) radiation. If this radiation is incident upon an absorbing surface, it performs the pressure work:[1]
where is the angle between the absolute radiation direction and the direction of motion. The difference:
we call the true (relative) radiation. The true radiation intensity
(19) |
is crucial for the heat transport between bodies of equal velocity.[2]
We employ the standpoint of Lorentz's contraction hypothesis and introduce the angle by the equation
(20) |
- ↑ M. Abraham, Boltzmann-Festschrift, p. 90, 1904. Compare for instance F. Hasenöhrl, Jahrb. d. Radioaktivität, 2, p. 281 (1905).
- ↑ This terminology agrees with the one used in an earlier paper (Ann. d. Phys., 15 [1904]). There, and was written instead of and . See also Jahrb. d. Radioaktivität und Elektronik, 2, p. 283 (1905).