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The Merian survey is mapping $\sim$ 850 degrees$^2$ of the Hyper Suprime-CamStrategic Survey Program (HSC-SSP) wide layer with two medium-band filters onthe 4-meter Victor M. Blanco telescope at the Cerro Tololo Inter-AmericanObservatory, with the goal of carrying the first high signal-to-noise (S/N)measurements of weak gravitational lensing around dwarf galaxies. This paperpresents the design of the Merian filter set: N708 ($\lambda_c = 7080\unicode{x212B}$, $\Delta\lambda = 275\unicode{x212B}$) and N540 ($\lambda_c =5400\unicode{x212B}$, $\Delta\lambda = 210\unicode{x212B}$). The centralwavelengths and filter widths of N708 and N540 were designed to detect the $\rmH\alpha$ and $\rm [OIII]$ emission lines of galaxies in the mass range $8<\rm\log M_*/M_\odot<9$ by comparing Merian fluxes with HSC broad-band fluxes. Ourfilter design takes into account the weak lensing S/N and photometric redshiftperformance. Our simulations predict that Merian will yield a sample of $\sim$85,000 star-forming dwarf galaxies with a photometric redshift accuracy of$\sigma_{\Delta z/(1+z)}\sim 0.01$ and an outlier fraction of $\eta=2.8\%$ overthe redshift range $0.058<z<0.10$. With 60 full nights on the Blanco/DarkEnergy Camera (DECam), the Merian survey is predicted to measure the averageweak lensing profile around dwarf galaxies with lensing $\rm S/N \sim 32$within $r<0.5$ Mpc and lensing $\rm S/N \sim 90$ within $r<1.0$ Mpc. Thisunprecedented sample of star-forming dwarf galaxies will allow for studies ofthe interplay between dark matter and stellar feedback and their roles in theevolution of dwarf galaxies.

The Merian Survey: Design, Construction, and Characterization of a  Filter Set Optimized to Find Dwarf Galaxies and Measure their Dark Matter  Halo Properties with Weak Lensing