  In information transfer, the dissipation of a signal may have crucial
importance. The feasibility of reconstructing the distorted signal also depends
on this. That is why the study of quantized dissipative transversal single
particle mechanical waves may have an important role. It may be true,
particularly on the nanoscale in the case of signal distortion, loss, or
restoration. Based on the damped oscillator quantum description, we generalize
the canonical quantization procedure for the transversal waves. Furthermore, we
deduce the related damped wave equation and the state function. We point out
the two kinds of solutions of the wave equation. One involves the well-known
spreading solution superposed with the oscillation, in which the loss of
information is complete. The other is the Airy function solution, which is
non-spreading, so there is information loss only due to oscillation damping.
However, the structure of the wavefront remains unchanged. Thus, this result
allows signal reconstruction, which is important in restoring the lost
information.
