Designs are proposed, based on a series of one‐dimensional calculations, for layered, hollow cylindrical targets to be placed on the axis of an imploding, hollowZ‐pinch plasma that can create the approximate plasma conditions, as well as radiation spectrum, for a photoionization pumped, Ne‐like recombination laser. The lasant must reach the Ne‐like state and be at the appropriate density at the same time that the photoionizing pump radiation is present, placing severe constraints on designs for such targets. Target designs are further constrained by the fact that the 3s‐2presonance line, which depopulates the lower lasing state, must not be highly trapped and by the fact that the upper lasing state must not be collisionally depopulated. We find that hollow, cylindrical targets consisting of a few‐micron‐thick CH strongback, coated on the inside with a thin layer of Ni lasant and on the outside with an Al converter layer, can be optimized to achieve appropriate conditions for lasing and modest levels of gain.
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