  The high-Q {\it subwavelength} resonances in an isolated dielectric disk
modes can be achieved by avoided crossing (anticrossing) of the nonorthogonal
TE resonances under variation of the aspect ratio as it was reported by Rybin
{\it et al} [Phys. Rev. Lett. 119, 243901 (2017)]. Traversing over two
parameters, the aspect ratio and the distance between two disks, enhances the Q
factor by several times compared to the case of the former case of
one-parametric avoided crossing in the isolated disk. Therefore successive
two-parametric avoided crossing gives multiplicative gain in the Q-factor as it
was expected. However if for the single disk its orthogonal resonant modes do
not undergo avoided crossing, a presence of the second disk gives removes this
restriction and gives rise to the avoided crossing of these modes that enhances
the $Q$ factor by two orders in magnitude compared to the case of single disk.
Respectively the multipolar decomposition of the anti-bonding resonant mode
demonstrates conversion from lower to higher orders of the multipole modes
similar to that as shown by Chen {\it et al} [Laser&PhotonicsReviews 13,
1900067 (2019)]. These results are interpreted by that the field configuration
at the maximal conversion becomes close to the Mie resonant mode with high
orbital momentum in equivalent sphere. For m=1 the resonant modes leakage into
both type continua that substantially lowers the Q-factor of the subwavelength
resonant modes.
