| Summary: | In the present paper, we discuss the design of a projection system with curved display and its enhancement by variably adjusting the curvature. We demonstrate that the focal surface curvature varies significantly with a change of the object position and that it can easily be computed with the Seidel aberration theory. Using this analytically derived curvature value as the starting point, we optimise a refocusable projection system with <inline-formula> <math display="inline"> <semantics> <msup> <mn>90</mn> <mo>°</mo> </msup> </semantics> </math> </inline-formula> field of view and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>F</mi> <mo>/</mo> <mo>#</mo> <mo>=</mo> <mn>6.2</mn> </mrow> </semantics> </math> </inline-formula>. It is demonstrated that such a system can provide stable image quality and illumination when refocusing from infinity to 1.5 m. The gain in spatial resolution is as high as 1.54 times with respect to a flat focal surface. Furthermore, we prove that a silicon die can be curved to the required shape with a safety factor of 4.3 in terms of the mechanical stress. Finally, it is shown that the developed system can be used in a virtual reality headset providing high resolution, low distortion and a flexible focusing mode.
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