标题： 静止弯曲时空中的引导波 显示英文标题

标题： Guided Waves in Static Curved Spacetimes

摘要： 这项工作研究了静态弯曲时空中的波导中电磁波的传播。我们开发了一种协变形式，使用赫兹势来描述沿波导轴线的固有长度依赖度规的时空中的引导电磁模式。使用赫兹势假设求解麦克斯韦方程，得到TE和TM模式的波动方程。我们分析了解的轴向和横向分量，并推导出截止频率和波导波长的表达式。也对TEM模式的特殊情况进行了研究。作为示例，我们将该形式应用于施瓦茨希尔德时空中的径向传播。这项工作为研究弯曲时空几何中的引导电磁波提供了框架，为广义相对论的精密测试和相对论量子光学开辟了潜在的应用。 显示英文摘要

摘要： This work investigates the propagation of electromagnetic waves in waveguides within static curved spacetimes. We develop a covariant formalism using Hertzian potentials to describe guided electromagnetic modes in spacetimes with metrics that depend on the proper length along the waveguide axis. The Maxwell equations are solved using a Hertzian potential ansatz, resulting in wave equations for TE and TM modes. We analyze the axial and transverse components of the solutions and derive expressions for the cutoff frequency and guide wavelength. The special case of TEM modes is also examined. As an illustrative example, we apply the formalism to radial propagation in Schwarzschild spacetime. This work provides a framework for studying guided electromagnetic waves in curved spacetime geometries, opening up potential applications in precision tests of general relativity and relativistic quantum optics.