Developments of Frequency-Domain Multiplexing of TES Arrays for a Future X-Ray Satellite Mission

Arrays of transition-edge sensors (TESs) X-ray microcalorimeters can provide high energy resolution and a large area necessary for the future X-ray mission Athena (2028~). An array with 4000 TESs will be employed on the X-ray satellite for the first time. The detector can achieve energy resolution of 2.5-3.0 eV and a high quantum efficiency in the energy range of 0.3-12 keV. Multiplexing the readout is necessary to minimize the number of readout amplifiers, the amount of wiring in the cryostat, and the cooling power required at the base-temperature. We are developing frequency-domain multiplexing (FDM) readout of TES microcalorimeters. In the FDM configuration, the TES is ac voltage biased at well-defined frequencies (between 2 and 6 MHz). For the development of the readout of the Athena instrument, we are using a nearly quantum-limited high-dynamic-range two-stage superconducting quantum interference device amplifier from VTT and high-Q lithographical LC resonators. In this paper, we will present the current status of the development of FDM readout of TES microcalorimeters. We will report on the results obtained using arrays fabricated at the NASA/Goddard Space Flight Center group.