In this paper, we investigate the gravitational lensing for power-Maxwell charged quintessence black hole (BH) without cosmological constant in Rastall’s theory of gravity in both the strong-field limit and weak-field limit. Furthermore, we discuss the gravitational lensing by the linear electrodynamic (LE) and nonlinear electrodynamic (NLE) Maxwell field with the equation of state (EoS) parameter of the quintessence ($\omega$) and compared to the case with Einstein’s gravity. We discuss the behaviors of the photon sphere radius $r_c$, impact parameter $u_c$, strong lensing coefficients $b_1$, $b_2$ and the deflection angle $\alpha (u)$ on the equatorial plane $(𝜃=\frac{\pi }{2})$ with the different values of Rastall parameter $\lambda$ for the case of LE and NLE Maxwell field in the strong field limit. We also investigate the angular separation $X$, angular position ${𝜃}_{\infty }$ and the magnification of the relativistic images. Further, we also study about the weak lensing BHs in Rastall gravity. We investigate the behaviors of weak deflection angle with the different values of Rastall parameter $\lambda$ for the case of LE and NLE Maxwell field in the weak-field limit.

在本文中，我们研究了在强场极限和弱场极限下，Rastall 引力理论中没有宇宙学常数的幂麦克斯韦充电精粹黑洞（BH）的引力透镜效应。此外，我们讨论了线性电动 (LE) 和非线性电动 (NLE) 麦克斯韦场的引力透镜效应以及典型的状态方程 (EoS) 参数 ($\omega$) 并与爱因斯坦引力的情况进行比较。我们讨论光子球半径的行为$r_C$, 冲击参数${你}_C$, 强透镜系数$b_1$,$b_2$和偏转角$\alpha (你)$在赤道平面上$(𝜃=\frac{\pi }{2})$具有不同的 Rastall 参数值$\lambda$对于 LE 和 NLE Maxwell 场在强场极限的情况。我们还研究了角度分离$X$, 角位置${𝜃}_{\infty }$以及相对论图像的放大。此外，我们还研究了 Rastall 引力中的弱透镜 BH。我们研究了具有不同 Rastall 参数值的弱偏角行为$\lambda$对于弱场极限中的 LE 和 NLE 麦克斯韦场的情况。