290(2): Intensity and Number Density of Photons, Monochromatic Theory

This note develops the Evans Morris effects in terms of beam intensity (watts per square metre) and number density of photons (number of photons in a given volume of radiation). The intensity theory:

I = I1 + I2

is the most complete theory because it uses a Planck distribution over many photons for the incident, refracted and reflected beams as in Note 290(1). In Note 290(1) there should be a factor (6 pi squared) in the denominators of Eqs. (6) and (8) of that note. The intensity theory leads to Eq. (15) of this note, which must be solved as in Note 290(1) with the momentum theory. If it is assumed that the number of photons per unit volume of the incident beam is equal to the sum of the number density of photons in the refracted and reflected beams, then Eq. (14) of this not results. This could also be solved with the momentum conservation equation of Note 270(1). This note also explains why the Compton theory is applicable at gamma ray frequencies without Planck averaging and density of states theory. The reason is that the volume of radiation at gamma ray frequencies is comparable to the classical volume of the electron. At visible and microwave frequencies the volume of radiation is many orders of magnitude bigger than that of the classical electron.

a290thpapernotes2.pdf

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