玻恩-因费尔德电动力学中库仑电荷引起的光偏转
Deflection of light by a Coulomb charge in Born-Infeld electrodynamics
摘要:
本文研究了Born-Infeld电动力学中光在强电场中的传播。非线性效应可以用有效折射率来描述。由于有效折射率取决于背景电场,当背景场不均匀时,光路会弯曲。利用基于几何光学的轨迹方程,计算了弱透镜极限下Born-Infeld型库仑荷对光的弯曲角。利用测地线方程计算了光在Einstein-Born-Infeld黑洞中的偏转角,证实了电荷对总偏转角的贡献是一致的。
英文摘要:
We study the propagation of light under a strong electric field in Born-Infeld electrrdynamics. The nonlinear effect can be described by the effective indices of refraction. Because the effective indices of refraction depend on the background electric field, the path of light can be bent when the background field is non-uniform. We compute the bending angle of light by a Born-Infeld-type Coulomb charge in the weak lensing limit using the trajectory equation based on geometric optics. We also compute the deflection angle of light by the Einstein-Born-Infeld black hole using the geodesic equation and confirm that the contribution of the electric charge to the total bending angle agree.
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