Parameter effects in circumplanetary disk spectra and prospects for spectral fitting

Context. With the commissioning of the James Webb Space Telescope (JWST), near- and mid-infrared observations are rapidly extending into the wavelength regime where emission from small dust grains in circumplanetary disks (CPDs) is expected to dominate. Aims. We aimed to systematically investigate how the individual physical parameters of CPDs shape their infrared spectra and to improve the robustness of the spectral fitting and physical interpretation of current and future observations. Methods. Building on our previous parametric CPD models, we employed a parameter-grid approach combined with radiative transfer simulations to explore the dependence of observable spectra on disk structure and dust properties. Results. We identify the physical mechanisms responsible for the main spectral features and parameter degeneracies, and present the global trends that emerge from the parameter study. We also demonstrate the applicability of the models by fitting representative observational data. Conclusions. Our results provide a structured theoretical framework for interpreting near- and mid-infrared observations of CPDs with JWST and related facilities.