We are developing a novel bolometer which uses a fine mesh to absorb r
adiation. The filling factor of the mesh is small, providing a small h
eat capacity and a low geometric cross-section to cosmic rays. The mes
h is patterned from a free-standing silicon nitride membrane and is th
ermally isolated by long radial legs of silicon nitride. A thin metall
ic film evaporated on the mesh absorbs radiation by matching the surfa
ce impedance to that of free space. A neutron transmutation doped germ
anium thermistor attached to the center of the mesh detects the temper
ature increase from absorbed radiation. The low thermal conductivity a
nd heat capacity of silicon nitride provide improved performance in lo
w background applications. We discuss the theoretical limits of the pe
rformance of these devices. We have tested a device at 300 mK with an
electrical NEP = 4 x 10(-17) W Hz(-1/2) and a time constant tau = 40 m
s.