Electromagnetic response of a Gaussian beam to high frequency relic gravitational waves in quintessential inflationary models

Electromagnetic response of a Gaussian beam to high frequency relic gravitational waves in quintessential inflationary models
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DOI:
10.1103/physrevd.67.104008
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发表时间:
2003-05
期刊:
影响因子:
5
通讯作者:
Fang-yu Li;Meng-xi Tang;D. Shi
Fang-yu Li;Meng-xi Tang;D. Shi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Fang-yu Li;Meng-xi Tang;D. Shi

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典型暴涨模型所期望的高频遗迹引力波(GW’s)的最大信号和峰值可能稳定地定位在GHz区域,遗迹引力波的临界单位(即$ h_0^2 \Omega_{GW}$)的能量密度为$10^{-6}$数量级,大约比普通暴涨模型大8个数量级。这恰好是小型电磁探测系统中高频千兆瓦电磁响应的最佳频段。我们考虑高斯波束通过静磁场时对高频残余GW的电磁响应。研究发现,在同步共振条件下,高斯光束对称轴周围的一阶微扰电磁场功率通量将包含左圆波和右圆波,但遗迹GW的+极化和$\times$极化状态所产生的微扰效应具有不同的性质,其对行为的扰动与局域背景电磁场的扰动明显不同。对于典型暴胀模型中具有典型参数$ \nu_g = 10^{10}Hz$, $ h = 10^{- 30} $的高频遗迹GW,通过$ 10^{- 2} m^{2} $区域的相应微扰光子通量预计为$ 10^{3}s^{-1} $。这是我们最近使用典型实验室参数分析和估计的最大微扰光子通量。此外,我们还讨论了高斯光束中高频残余GW产生的几何相移,并估计了可能的物理效应。
Maximal signal and peak of high-frequency relic gravitational waves (GW's), recently expected by quintessential inflationary models, may be firmly localized in the GHz region, the energy density of the relic gravitons in critical units (i.e., $ h_0^2 \Omega_{GW}$) is of the order $10^{-6}$, roughly eight orders of magnitude larger than in ordinary inflationary models. This is just right best frequency band of the electromagnetic (EM) response to the high-frequency GW's in smaller EM detecting systems. We consider the EM response of a Gaussian beam passing through a static magnetic field to a high-frequency relic GW. It is found that under the synchroresonance condition, the first-order perturbative EM power fluxes will contain left circular wave and right circular wave around the symmetrical axis of the Gaussian beam, but the perturbative effects produced by the states of + polarization and $\times$ polarization of the relic GW have different properties, and the perturbations on behavior are obviously different from that of the background EM fields in the local regions. For the high-frequency relic GW with the typical parameters $ \nu_g = 10^{10}Hz$, $ h = 10^{- 30} $ in the quintessential inflationary models, the corresponding perturbative photon flux passing through the region $ 10^{- 2} m^{2} $ would be expected to be $ 10^{3}s^{-1} $. This is largest perturbative photon flux we recently analyzed and estimated using the typical laboratory parameters. In addition, we also discuss geometrical phase shift generated by the high-frequency relic GW in the Gaussian beam and estimate possible physical effects.