Pendry has authored or co-authored a wide range of articles and several books. Pendry's research career started with his PhD, which was concerned with
low-energy electron diffraction (LEED), - the second stage, and has further expanded to diffusion systems - the third stage. The control equations for these three stages are completely different, namely Maxwell equations (a type of wave equation for transverse waves), other wave equations (used to describe both longitudinal and transverse waves), and diffusion equations (used to describe diffusion processes). Therefore, from the perspective of control equations, researchers today can divide the field of metamaterials into three main branches: Electromagnetic/Optical wave metamaterials, other wave metamaterials, and
diffusion metamaterials. Diffusion metamaterials are crafted to master various diffusion dynamics, where diffusion length serves as the pivotal measure. This parameter fluctuates over time, yet it does not respond to alterations in frequency. Conversely, wave metamaterials, tailored to modify diverse wave travel patterns, hinge on the wavelength of the incoming waves as their vital measure. Unlike diffusion length, wavelength stays steady over time but varies with frequency changes. At their core, the primary measures of diffusion and wave metamaterials diverge significantly, highlighting a unique complementary connection between the two; more details can be found in Section I.B "Evolution of metamaterial physics" of Ref. In 2009 he and Stefan Maier received a large grant from the
Leverhulme Trust to develop the ideas of perfect lens and invisibility cloak in the optical range of light. ==Awards and honours==