Most of grazing incidence (reflective) X-ray imaging systems used in astronomy and in other (laboratory) applications are\r\nbased on the Wolter 1 (or modified) arrangement. But there were proposed also other designs and configurations, which are\r\nconsidered for future applications for both in laboratory and (finitely) in space. The Kirkpatrick-Baez (KB) lenses as well as\r\nvarious types of Lobster-Eye (LE) optics and MCP/Micropore optics serve as an example. Analogously toWolter lenses, the X-rays\r\nare mostly reflected twice in these systems to create focal images. The KB systems have already found wide usage in laboratory\r\nand synchrotron, both application are reviewed and discussed in detail in this paper. While this paper focuses on future possible\r\napplications of non-Wolter grazing incidence systems in space and astronomy, we also discuss in detail applications in other areas\r\nof science, where (in contrary to astronomy) some of these systems have demonstrated their advantages.
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