  The magnetic and convective nature of the Sun's photosphere provides a unique
platform from which generated waves can be modelled, observed, and interpreted
across a wide breadth of spatial and temporal scales. As oscillations are
generated in-situ or emerge through the photospheric layers, the interplay
between the rapidly evolving densities, temperatures, and magnetic field
strengths provides dynamic evolution of the embedded wave modes as they
propagate into the tenuous solar chromosphere. A focused science team was
assembled to discuss the current challenges faced in wave studies in the lower
solar atmosphere, including those related to spectropolarimetry and radiative
transfer in the optically thick regions. Following the Theo Murphy
international scientific meeting held at Chicheley Hall during February 2020,
the scientific team worked collaboratively to produce 15 independent
publications for the current Special Issue, which are introduced here.
Implications from the current research efforts are discussed in terms of
upcoming next-generation observing and high performance computing facilities.
