NEC-LIST: Orthogonality under relativistic transformations

Dear List,

I'm wondering whether modes that are local to an antenna,
and are orthogonal to each other (in the sense that
the integrated inner product is zero), maintain the
property of orthogonality when viewed from another
inertial frame of reference, after all the field
distributions are Lorentz-transformed. It has always
appeared odd to me that the antenna properties of interest
are either "viewed" from a stationary frame, or else from
one moving outwards at c, the velocity of light,
in an arbitrary direction. Clearly (to me at any
rate) any antenna structure, when viewed from any
outgoing section of the wavefront, must look entirely
transverse to the line joining it to the wavefront
section (by Lorentz contraction along the line of sight)
and therefore, that all outward propagating waves must
necessarily be transverse for that reason alone.

I understand that the issue of orthogonality of modes
has application to the arguments in the CHU paper
about compact antennas.

regards

David.

-- 
David Jefferies
http://www.ee.surrey.ac.uk/Personal/D.Jefferies/
http://www.eryptick.net/
fax +44 (0)1483 534139 attn D.Jefferies
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