HARMONI is a visible and near-infrared integral field spectrograph for the E-ELT. It needs to work at diffraction limited scales. This will be possible thanks to two adaptive optics systems, complementary to each other. Both systems will make use of the telescope's adaptive M4 and M5 mirrors. The first one is a simple but efficient Single Conjugate AO system (good performance, low sky coverage), fully integrated in HARMONI itself. The second one is a Laser Tomographic AO system (medium performance, very good sky coverage). We present the overall design of the SCAO system and discuss the complementary between SCAO and LTAO for HARMONI.
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