Undergrad Accelerating Internal OAM Photon Wavefronts Under Gravity

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Accelerating internal orbital angular momentum (OAM) photon wavefronts under gravity raises questions about their behavior, particularly their divergence and propagation. When such a beam is accelerated, it can be described as a superposition of waves traveling at light speed but at different angles, leading to divergence influenced by spacetime curvature. The integrity of the helical mode is maintained, although the divergence characteristics may change due to the OAM. The discussion also explores how the wavefront speed is reduced, suggesting that the Poynting vector's helical motion plays a role. This analysis highlights the complexities of wavefront behavior in gravitational fields.
calinvass
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It is known that wavefronts of internal OAM photons travel slower than light but I wonder what happens if you accelerate such a beam. This should be possible under gravity.
 
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You can describe it as superposition of waves that do travel at the speed of light (but with different angles). and study how they propagate separately. Your beam will diverge, with each component following the spacetime curvature.
 
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mfb said:
You can describe it as superposition of waves that do travel at the speed of light (but with different angles). and study how they propagate separately. Your beam will diverge, with each component following the spacetime curvature.
Thanks.

Do you mean the radius of the helix, the wavefront speed and the frequency increase as it descends ?
I assume the helical mode maintains its integrity.
 
Every finite beam of light diverges (at least after some distance). Orbital angular momentum will change the divergence a bit.
 
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If the OAM beam is made of separate beams, how is the wavefront speed reduced? Is it because the poynting vector follows a helix ?
 
A classical analogy works quite well: Have multiple beams, all tilted a bit with respect to the main direction of motion, aligned in a twisting motion. That is not completely accurate, but it follows the same idea.
 
MOVING CLOCKS In this section, we show that clocks moving at high speeds run slowly. We construct a clock, called a light clock, using a stick of proper lenght ##L_0##, and two mirrors. The two mirrors face each other, and a pulse of light bounces back and forth betweem them. Each time the light pulse strikes one of the mirrors, say the lower mirror, the clock is said to tick. Between successive ticks the light pulse travels a distance ##2L_0## in the proper reference of frame of the clock...

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