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The Very Large Telescope Interferometer (VLTI), and the Extremely LargeTelescope (ELT) will be a robust astrophysics suite offering the opportunity ofprobing the structure and dynamics of CB-SMBH at high spectral and angularresolution. Here, we explore and illustrate the application of differentialinterferometry on unresolved the CB-SMBH systems in elliptical orbitalconfigurations and a single SMBH with clouds in elliptical orbital motion.Photocenter displacements between each SMBH and regions in their disc-likebroad line regions (BLR) appear as small interferometric differential phasevariability. To investigate the application of interferometric phases for thedetection of CB-SMBH systems, we simulate a series of differentialinterferometry signatures, based on our model comprising ensembles of cloudssurrounding each of supermassive black hole in a CB-SMBH. Setting model to theparameters of a single SMBH with elliptical cloud motion, we also calculated aseries of differential interferometry observables for this case. We foundvarious deviations from the canonical S-shaped of CB-SMBH phases profile forelliptically configured CB-SMBH systems. The amplitude and specific shape ofthe interferometry observables depend on orbital configurations of the CB-SMBHsystem. We get distinctive results when considering antialigned angular momentaof cloud orbits regarding total CB-SMBH angular momentum. Some simulatedspectral lines from our model closely resemble observations of Pa \alpha linegot from near-infrared AGN surveys. We found differences between differentialphases zoo of a single SMBH and CB-SMBH systems. The differential phases zoofor a single SMBH comprises deformed S shape. We also showed how theirdifferential phase shape, amplitude, and slope evolve with various sets ofcloud orbital parameters and observer position.

Differential interferometry of close binary of supermassive black holes in an elliptical configuration