Band selection by on-chip filters coupled with superconducting photon detectors such as TES’s and MKIDs [1] is a key technology for multichroic imaging in millimeter/submillimeter astronomy. We report on the design of on-chip bandpass filters coupled to quarter-wave MKIDs for three frequency bands centered at 150, 220, and 270 GHz, each with a bandwidth of 40 GHz. We choose a lumped-element Chebyshev filter design to take advantage of its compactness and wide bandwidth [2,3]. Our design has inductive couplers or shunt inductance elements at the end of filters [Figure (a)], which allows efficient coupling to the absorbing part of a quarter-wave MKID resonator without any intermediate components. We find optimal designs using coplanar waveguide (CPW) and microstrip line structures based on the following method: First, we model each on-chip filter as an equivalent circuit of a Chebyshev bandpass filter, which consists of lumped inductors and capacitors, for a given set of center frequencies and bandwidths. Next we design planar inductors and capacitors with identical S-parameters as the lumped element inductors and capacitors in our equivalent model using planar electromagnetic simulations. Finally, we construct the entire filter by replacing lumped elements in the equivalent circuit with the corresponding planar structures. We use superconducting NbTiN films to construct the filters, which is modeled as a zero-thickness superconductor with a sheet inductance of 1 pH/sq and no resistance. Figure (b) shows the simulated spectral response of our optimal CPW filter designs, which covers the targeted bands. We will also present the results of electromagnetic simulations performed to evaluate the radiation loss as well as the S-parameters of our filter designs.
Figure (a): Design of the on-chip bandpass filter with CPW structures for 150 GHz.
Figure (b): Simulated transmissions of the CPW bandpass filters for three frequency bands.
[1] Mauskopf, P. D. (2018) PASP, 130, 082001
[2] Pozar, D. M. (2011) “Microwave Engineering,” John Wiley & Sons
[3] Suzuki, A. et al. (2012) J. Low Temp. Phys., 167, 852-858
This work was supported by JSPS KAKENHI Grant Number 22KJ0583.