Re: Is an omnidirectional laser possible?




"Hendrik Boom" <hendrik@xxxxxxxxxxxxxx> wrote in message
news:d2c5e$47e6dee5$d88ac3c2$12698@xxxxxxxxxxxx
On Mon, 10 Mar 2008 05:14:48 +0000, Neil B. wrote:

"Green Xenon [Radium]" <glucegen1@xxxxxxxxxx> wrote in message
news:47cce0c8$0$24088$4c368faf@xxxxxxxxxxxxxxxxx
Hi:

Most lasers give out a unidirectional beam of light.

Is it possible to design an omnidirectional laser that gives out
coherent and in-phase light in all directions?


Thanks,

Radium


No. Just consider the inconsistency of trying to extend the sets of
crossing, propagating E and B vectors all around a sphere. It can't be
done, they won't match up at the "poles" if they are appropriate around
the "equator." You could get a donut-like intensity distribution,
however.

Is this related to the impossibility of smoothly combing a hairy sphere?

Or is it a different topological thing?

While I see no reason to assume that photons of the same frequency and phase
can't be sent out from a spherical shell it doesn't seem to me that you
could call it a laser beam because a laser beam is collimated. The comments
above which denies the possibility assumes that the polarization for a
specific direction must be unique. I'm not sure if this is true. I.e. I
don't believe that the light being emitted by a laser beam is polarized.
However I'd have to guess that it is. And for that reason a laser beam
wouldn't be able to be spherical. So I guess you'd have to be more specific
about the question. I.e. are you requiring the photons to have a unique
polarization axis?

Pete


.



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