Subject to clarification by Gareth, these are three visible laser frequencies each shifted to the lower frequency. This is possible theoretically if different angles theta3 are used, and complex refractive index.
To: EMyrone@aol.com
Sent: 29/11/2014 16:36:21 GMT Standard Time
Subj: Re: 279(8): Comparison of Experiment and TheoryWhat do the equations (7,8) mean? This is one refracted frequency for three incident frequencies. I would expect a 1-1 correspondence. Is it plausible that different incident frequencies are refracted to the same frequency?
Horst
Am 29.11.2014 11:07, schrieb EMyrone
This note summarizes a scheme for comparison of experiment and theory using the linearized n photon monochromatic theory with conservation of energy and momentum. As shown yesterday by Horst Eckardt there are four possible solutions for the refracted frequency omega1 in terms of the incident frequency omega, and it is possible to produce refracted red shifts and blue shifts as observed experiemntally by Gareth Evans and Trevor Morris. In the first instance the refarctive index of olive oil can be used, n = 1.4665, to see if this is sufficient to produce red shifts. The angle theta3 appears to be unknown experimentally but it can be adjusted to try to produce a fit with data. I note that the frequencies in hertz sent over by Gareth are calculated from the wavelengths using the speed of light c as in Eq. (1). If this simple constant refractive index theory does not work then the complex refractive index must be used as described by Horst yesterday. The real and imaginary parts of the complex refractive index are given in Eqs. (10) and (11). The rigorous theory is given in Eqs. (4) and (5), using the Planck distribution. Can Maxima solve those equations? Probably not, a mainframe computer will probably be needed.