  Spin waves, known for their ability to propagate without the involvement of
moving charges, hold immense promise for on-chip information transfer and
processing, offering a path toward post-CMOS computing technologies. This study
investigates the potential synergy between propagating Damon-Eshbach spin waves
and voltage-controlled magnetization in the pursuit of environmentally
sustainable computing solutions. Employing micromagnetic simulations, we assess
the feasibility of utilizing spin waves in DE mode in conjunction with
localized voltage-induced alterations in surface anisotropy to enable
low-energy logic operations. Our findings underscore the critical importance of
selecting an optimal excitation frequency and gate width, which significantly
influence the efficiency of the phase shift induced in propagating spin waves.
Notably, we demonstrate that a realistic phase shift of 2.5$\left[ \pi \
\text{mrad}\right]$ can be achieved at a Co(5nm)/MgO material system via the
VCMA effect. Moreover, by tuning the excitation frequency, Co layer thickness,
gate width, and the use of a GdO\textsubscript{x} dielectric, we illustrate the
potential to enhance the phase shift by a factor of 200 when compared to MgO
dielectrics. This research contributes valuable insights towards developing
next-generation computing technologies with reduced energy consumption.
