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Friday, August 21, 2015

Then Reflected

From the post "Photon Emission After Absorption" dated 25 Jul 2015, the photon is ejected perpendicular to the direction of travel of the particle; in the post "A Pump!" dated 25 Jul 2015,

Ep=h.{1sin(θ)cos(θ)}.fcir

when

1sin(θ)cos(θ)<0

sin(θ)cos(θ)>1

a photon is absorbed first then emitted, this introduces a π phase in the emission.

The refracted ray we observe in the second medium is made up of emitted photons in the direction perpendicular to α2 (out of the paper).  This emitted ray will be absorbed and be emitted a second time.  In the first instance of emission, the photons are emitted perpendicular to the direction of travel of the particle (PO and PO), and is along EPE and EPE.  The direction of incident then changes to from PO to EO, by a difference of 90oθ.  Along EO particles interact with the passing photons, as if along PO.


The ray α2 corresponds to the line EO.  EO is absorbed and emitted into the direction it was first absorbed.  It is diverted by a difference of (90oθ) to be along PO again.  Reciprocity.

If we confine photon emission/absorption to be at the point of incident, this emitted ray, PO will result in a reflected ray,


And the possibility of a phase lag between the absorption of a photon first, then an emission, accounts for the possible π phase shift in the reflected ray.

This is not the reflected ray off a mirrored surface, but reflection from an interface of two mediums with different optical properties.  The reflected ray is the result of a second absorption/emission of the photons in the medium, the first absorption/emission allows us to see α2.  The second absorption/emission is due to the interaction of α2 with the medium.  α2 interacts with the medium only once.  The first absorption/emission of the photons in the medium results in the cone PEEPE from which we started to derive the geometry of α2 (post "It's All Fluorescence Outside, Inside" dated 29 Jul 2015).

The ray corresponding to 90oθ2α2 is probably totally internally reflected.  The presence of this ray is important to vindicate the results here.  It is possible that not all of this ray is absorbed and emitted to result in a reflected ray.

When would absorption and emission stop?  Absorb along AB emit perpendicularly XY absorb along XY emit perpendicularly along AB, return.  The photons are emitted in the direction perpendicular to the particle's travel; this is not in the direction perpendicular to the ray on the plane containing the axis of the cone.  This emitted ray is rotated about the axis of the cone and reaches an observer perpendicular to the ray out of the paper.  It is a cone in 3D in the first place.

And this accounts for a reflected ray, even when α2 does not penetrate into the second medium.

Note:  The cone PEEPE  was not initially conceived from considering absorption and emission.  There can be a problem here;  two birds with one stone is real luck!  The cone accounts for both the direction along the ray and, emitted photons that reach the eyes of the observer, perpendicular to the ray.

Both ray α2 and  90oθ2α2 are at the point of incident, very small.