Second-generation Micro-Spec: a medium-resolution spectrometer-on-a-chip for submillimeter astronomy

This work reports on the design of a second-generation Micro-Spec (µ-Spec), a direct-detection spectrometer which integrates all the components of a diffraction-grating spectrometer onto a ~10-cm² chip by means of superconducting microstrip transmission lines on a monocrystalline silicon substrate. The second-generation µ-Spec is designed to operate with a resolving power of 512 over the 500-1000 µm (300-600 GHz) wavelength range, a band of interest for several spectroscopic applications in astrophysics and the study of the early (z > 8) Universe. High-altitude balloon missions would provide the first testbed to demonstrate the µ-Spec technology in a space-like environment and would represent an economically viable venue for multiple observation campaigns.A brief overview of each instrument subsystem will be provided. Emphasis will be given to the design of the spectrometer’s two-dimensional diffractive region, through which the light of different wavelengths is focused on the kinetic inductance detectors along the focal plane. An optical design optimized for balloon missions through an optimization process that satisfies specific requirements on spectrometer’s size, operating spectral range and optical performance is presented in terms of geometric layout, spectral purity and efficiency.