Laser-induced strong shock with high efficiency remains a technical challenge, evidenced by the fact that much effort is being invested at the large-scale national laboratories to optimize the laser-induced shock compression of pellets consisting of light elements. However, techniques developed at national laboratories are rarely transferable to university laboratories. Here, we present theoretical work on the design of novel optical cavities intended for strong shock generation at a tabletop scale. The key idea is to utilize multiple laser pulses spatially shaped to form concentric laser rings on condensed matter samples. Each laser ring launches a 2D focusing pressure wave that converges at the common central point. The pulses are delayed in the nanosecond range and spaced by microns, matching the laser scanning speed to the shock speed, which is typically several µm/ns in condensed matter, allowing the pressure waves to superimpose to achieve extremely high pressure. The hereby designed optical cavities are expected to maintain or even exceed the shock excitation efficiency of 10 4 GPa/J reported in our previous work using a single laser ring, where the limiting factor to generate stronger shocks was the saturation of input laser energy. The current design for multiple laser rings bypasses the saturation due to much larger excitation areas, thus the total input laser energy can be dramatically increased. Our work provides a viable pathway toward the application of laser-induced strong shock compression of condensed matters. The current tabletop scheme caters to the need of the shock compression community by providing the flexibility, in contrast to large-scale national labs, to test new shock compression strategies.