“…As has been described in previous publications, the resonant frequency of the PZT is determined by the geometry of the cantilever tip (optical fiber) while the scanning range depends on both the cantilever and PZT size. 9,15,16,20 It has been shown that the resonant frequency of the fiber can be theoretically calculated as
where E is the Young’s modulus, ρ is the density of the fiber, R is the radius of the fiber, L is the fiber length, and B n is a numerical constant equal to 1.194, 2.988, …. 16 Without changing any parameters besides fiber length L , we can expect an inverse correlation with resonant frequency.…”