Generalized design of simple, stable and compact nested multipass cells with a reentrant symmetric concentric circle pattern

We present a particular solution of the Herriott design by replacing each spherical mirror with two coaxial nested spherical mirrors with different curvatures. The analytical solution of the nested MPC parameters is derived based on the principle of the Herriott cell and the symmetry of the pattern, which enables the rapid design of nested MPCs with different optical path lengths (OPLs). The nested MPC performance is explored by parameter analysis, the ray tracing method and the transfer matrix method. We further designed and manufactured a miniaturized and long-OPL MPC, which exhibits robustness, high mirror utilization and a good q-parameter of the output beam. The miniaturized nested MPC can achieve a 10 m effective OPL at a volume of 28.4 mL, and the long-OPL MPC can obtain a 100 m effective OPL at a volume of 1.3 L.