[General] fringe patterns and many angles

[Andrew Meulenberg]

Dear Chip, Hodge, Wolfgang, and André,

In his earlier comments, Chip stated:

"Also the reflection predictions do not accurately predict the multiple
fringe pattern and many angles. While transmission and interference at the
target does accurately predict the pattern at all angles."

I refuted his 1st statement about the predictions based on the reflection
model. Nevertheless, this brought up the question about fringes and
patterns that I would like to discuss some more.

   1. The interference patterns between pairs of coherent beams, observed
   by the interaction of light and matter, are determined by a relationship
   between the sources and their wavelengths.
   2. The illuminated image from a laser beam, with no optics altering it,
   is determined by the divergence angle of the laser.
   3. The patterns exist whether or not the laser directly illuminates
   them. This can be seen in the laser light scattered from dust on windows,
   mirrors, lenses, or in the air.
   4. Since the beam divergence and fringe pattern divergence angles may
   differ (with the pattern angles equal to or less than the beam divergence),
   a portion of the laser beam can/must cross the dark fringes (null zones).
   5. Light beams crossing a null zone means that energy must exist in the
   dark regions. However, with 'cancellation' of the paired electric vectors
   in these regions, the 'missing' energy must be in the form of magnetic
   energy and/or an electric potential. In either case, the magnetic field
   increase or potential must be created by the opposing E-fields (the
   E-fields don't really cancel, they are simply the gradient of a potential).
   These two effects are really the same. Change in potential results from a
   change in total charge. Change in magnetic field is a result of currents
   which are a dq/dt. Normally, dq/dt is expressed as displacement of fixed
   charge (dq/dx) at a velocity v (dx/dt), so that dq/dt = (dq/dx)(dx/dt).
   6. If we recognize that charge (normally a fixed pattern of E-field),
   and mass  (normally a pattern of g-field) are related, then we can see that
   space/time can be distorted in either a (meta)stable or oscillatory manner
   (compare lepton and photon structures). Null zones are thus the
   zero-gradient region of standing waves in which electric potentials vary in
   time, not space. Charged matter is not required to create the patterns. It
   is only required for us to observe them.
   7. Since the reflectance model requires the reflection and transmission
   to be indistinguishable at the null zone, then only an excess of the
   equality will be transmitted. The potentials created by the opposing
   E-fields are unbalanced by any excess and reflection is not total.
   8. The fields of intersecting photons must interact to create the
   potentials. If the photons/beams are not coherent, the induced potentials
   are chaotic and no interference patterns appear.

Hodge's question about the single photon interference raises some
interesting questions about how much overlap of photons would be needed to
cause a noticeable interference/interaction.

   1. if a significant portion of coherent real photons need to overlap (in
   the absence of matter) before an interaction can be observed, then can a
   single photon interact with itself to cause a potential barrier from which
   to reflect.
   2. This point is moot, since one cannot distinguish reflection from
   transmission in the real interaction between photons.
   3. It is an interesting point that a pattern exists for any give source
   spacing and wavelength. What is observed is a result of the illumination.
   The question then is whether the pattern pre-exists or is created by the
   interaction?


Andrew M.
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