Very interesting result as usual, which with the permission of Gareth and Trevor I am posting on the blog as usual. The overall mechanism according to basic quantum theory is:
omega = omega0 exp ( – alpha (omega0) Z / 3)
where alpha is the power absorption coefficient of the olive oil in the visible range. So if alpha (omega0) is known experimentally (the chlorophyll absorption spectrum) it can be used to calculate the red shifted frequency omega at the sample path length Z.
To: EMyrone@aol.com
Sent: 26/02/2015 16:25:55 GMT Standard Time
Subj: Re: Planck Distribution and Rayleigh ScatteringExcellent Myron. Attached is focused SUNLIGHT shifted to red by extra virgin olive oil in a drinking glass. A very easy experiment. You can see the focused white light on the front face of the glass. All the component colours of the white light is shifted to this red frequency by chlorophyll in the olive oil (around 680nm). This is the frequency of light that would mormally be absorbed by livibg plants during photosynthesis. So, as we have stated in the past, this is nature at its intricate best (using as much of the incident radiation as possible for photosynthesis and protecting delicate cells from ionising radiation in the uv in the process). This is nature using the effects you are developing and explaining.
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Cc:
Subject: Planck Distribution and Rayleigh ScatteringThe theories of the Planck distribution and Rayleigh scattering both calculate I / I0 so there will be hitherto unknown frequency shifts in Rayleigh scattering and also Raman scattering. These are worked out by calculating I / I0 from the Planck distribution and form the theory of Rayleigh scattering, and equating the results. These shifts are reminiscent of Compton scattering, which is a theory worked out with one photon. Therefore Evans / Morris effects are ubiquotous throughout optics and spectroscopy. I will write up UFT308 and then proceed to Rayleigh scattering combined with the Planck distribution.
