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Active compensation of aperture discontinuities for WFIRST-AFTA: analytical and numerical comparison of propagation methods and preliminary results with a WFIRST-AFTA-like pupil

机译：WFIRsT-aFTa孔径不连续的主动补偿：   传播方法和初步方法的分析和数值比较   结果是像WFIRsT-aFTa一样的瞳孔

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The new frontier in the quest for the highest contrast levels in the focalplane of a coronagraph is now the correction of the large diffractive artifactseffects introduced at the science camera by apertures of increasing complexity.The coronagraph for the WFIRST/AFTA mission will be the first of suchinstruments in space with a two Deformable Mirrors wavefront control system.Regardless of the control algorithm for these multi Deformable Mirrors, theywill have to rely on quick and accurate simulation of the propagation effectsintroduced by the out-of-pupil surface. In the first part of this paper, wepresent the analytical description of the different approximations to simulatethese propagation effects. In Annex A, we prove analytically that, in thespecial case of surfaces inducing a converging beam, the Fresnel method yieldshigh fidelity for simulations of these effects. We provide numericalsimulations showing this effect. In the second part, we use these tools in theframework of the Active Compensation of Aperture Discontinuities technique(ACAD) applied to pupil geometries similar to WFIRST-AFTA. We present thesesimulations in the context of the optical layout of the High-contrast imagerfor Complex Aperture Telescopes, which will test ACAD on a optical bench. Theresults of this analysis show that using the ACAD method, an apodized pupillyot coronagraph and the performance of our current deformable mirrors, we areable to obtain, in numerically simulations, a dark hole with an AFTA-likepupil. Our numerical simulation shows that we can obtain contrast better than$2.10^{-9}$ in monochromatic light and better than 3.e-8 with 10% bandwidthbetween 5 and 14 lambda/D.
机译：寻求在日冕仪焦平面上获得最高对比度的新领域是纠正由于复杂度不断提高的光圈在科学相机上引入的大型衍射伪影效果。WFIRST/ AFTA任务的日冕仪将是第一个这样的仪器具有两个可变形镜面波前控制系统。不管这些多可变形镜面的控制算法如何，它们都将不得不依靠快速准确的模拟来模拟出瞳孔外表面所产生的传播效果。在本文的第一部分中，我们给出了不同逼近的解析描述，以模拟这些传播效应。在附件A中，我们通过分析证明，在表面会聚光束的特殊情况下，菲涅耳方法对于模拟这些效应具有很高的保真度。我们提供数值模拟来显示这种效果。在第二部分中，我们将这些工具用于类似于WFIRST-AFTA的瞳孔几何形状的主动孔径不连续性补偿技术（ACAD）的框架。我们在复合孔径望远镜高对比度成像仪的光学布局的背景下介绍这些模拟，它将在光具座上测试ACAD。该分析的结果表明，使用ACAD方法，变迹的瞳孔日冕仪和我们当前可变形镜的性能，我们能够在数值模拟中获得类似AFTA的学生的黑洞。我们的数值模拟表明，在5至14 lambda / D之间具有10％的带宽时，在单色光中可以获得优于$ 2.10 ^ {-9} $的对比度和优于3.e-8。

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