In the present paper, we investigate the required anisotropy of an exact regular Bardeen black hole characterized by its mass $M$ and the nonlinear parameter $\beta$ in anti-de sitter spacetime with a static anisotropic matter field. We also show that the relative pressure anisotropy, equation of state and the pressure depends on the radial coordinate, reflecting the required anisotropy for Bardeen black hole. Next, we analyze the Joule–Thomson ($JT$) expansion of the black hole spacetime. Treating the cosmological constant as thermodynamic pressure $P$ and its conjugate quantity as thermodynamic volume $V$, we derive the equation of state connecting Hawking temperature and various black hole parameters. We study the $JT$ expansion in the regular Bardeen AdS black holes in the anisotropic matter field background through the analysis of inversion temperature and isenthalpic curves. We derive the $JT$ coefficient $\mu$ and use them to plot the inversion and isenthalpic curves. We discuss the effect of anisotropy parameter $a$ and ${\omega }_q$ on the $JT$ coefficient and inversion temperature, especially with the case of ${\omega }_q=-1$, ${\omega }_q=-2∕3$ and ${\omega }_q=-1∕3$. Our analysis shows that anisotropic matter field affects the inversion point $(T_i,P_i)$.

在本文中，我们研究了以质量为特征的正则规则Bardeen黑洞的各向异性 $\mathrm{中号}$ 和非线性参数 $\beta$在反de sitter时空中具有静态各向异性物质场。我们还表明，相对压力各向异性，状态方程和压力取决于径向坐标，反映了Bardeen黑洞所需的各向异性。接下来，我们分析焦耳-汤姆森（$ĴŤ$）扩展黑洞的时空。将宇宙常数视为热力学压力$P$ 及其共轭量作为热力学体积 $\mathrm{伏特}$，我们导出了连接霍金温度和各种黑洞参数的状态方程。我们研究$ĴŤ$通过反演温度和等焓曲线的分析，研究了各向异性物质场背景下常规Bardeen AdS黑洞的膨胀。我们得出$ĴŤ$ 系数 $\mu$并用它们绘制反演和等焓曲线。我们讨论各向异性参数的影响$\mathrm{一种}$ 和 ${\omega }_q$ 在 $ĴŤ$ 系数和反演温度，尤其是在 ${\omega }_q=-\mathrm{1个}$， ${\omega }_q=-\mathrm{2个}∕3$ 和 ${\omega }_q=-\mathrm{1个}∕3$。我们的分析表明，各向异性物质场影响反演点$（{Ť}_{\mathrm{一世}}，P_{\mathrm{一世}}）$。