Beam optics of the folded tandem ion accelerator at BARC

Santra, S.; Singh, Pitamber

doi:10.1007/s12043-002-0032-5

Cited by 4 publications

(1 citation statement)

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“…The Rindler vacuum can be understood as the variable refractive index medium in Minkowski space-time. This idea goes against general relativity while it has a good use in optics [28][29][30][31][32], which is obviously an optical illustration of the vacuum not empty. The difference here is that the "vacuum refractive index" does not affect the speed of light (in this case, light travels at a constant speed), but rather affects the structure of space-time to produce a phenomenon similar to the bending of light, which will be proved in the following.…”

Section: Matrix Optics Of Accelerated Framementioning

confidence: 99%

Laser propagation in Rindler accelerated reference frame based on matrix optics

Ding,

Wang

2021

Preprint

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The Rindler space-time describing a series of accelerating observers is Ricci flat, but it still has novel optical effects. In the case of WKB approximation, we derive the light paths in the Rindler frame based on the covariant wave equation and geodesic equations. Then, we use ABCD matrix optics method to explore the propagation characteristics of Rindler frame, thus link three different optical transformation scenes (geometry, gravity and vacuum refractive index) together. Moreover, the propagation characteristics of hollow beam in Rindler space-time are described analytically. In the longitudinal direction, we demonstrate the shift and stretch effects of the dark spot of a beam, while the transverse spot size is proved to be convergence in the accelerated system, and the wavefront curvature can tend a constant twice the acceleration at the far field. Those characteristics are quite different from the ones in the flat space-time. Based on these calculations, we simply demonstrate the position uncertain relationship between the transverse beam size and the momentum, which surprisingly coincides with the derivation of quantization. We hope that we can provide one simple method to analyze the beam propagation in the accelerated frame.

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