  Plasmon resonance is the resonant oscillation of conduction electrons at the
interface between negative and positive permittivity material stimulated by
incident light, which forms the fundamental basis of many cutting-edge
industrial applications. We are concerned with the quantitative theoretical
understanding of this peculiar resonance phenomenon. It is known that the
occurrence of plasmon resonance as well as its quantitative behaviours
critically depend on the geometry of the material structure, the corresponding
material parameters and the operating wave frequency, which are delicately
coupled together. In this paper, we study the plasmon resonance for a 2D
nanorod structure, which presents an anisotropic geometry and arises in the
transverse electromagnetic scattering. We present delicate spectral and
asymptotic analysis to establish the accurate resonant conditions as well as
sharply characterize the quantitative behaviours of the resonant field.
