2
Electromagnetics of planar surface waves

Figures and tables

2.2 Topics in electromagnetic theory

2.2.7 Group velocity and phase velocity

2.3 Media type notation

2.3.1 Material- and geometry-dependent ϵ and μ

2.3.3 Characterization of DPS-, ENG-, DNG- and MNG-type media

2.3.4 DPS-, ENG-, DNG- and MNG-type media presented in an (Subscript[ϵ, r])'-(Subscript[μ, r])' parameter space

2.4 Mode and symmetry notation

2.4.1 TE and TM modes

2.5 Wave vector notation

2.5.1 Wave vectors in single- and double-interface structures

2.6 Single-interface TE mode fields

2.6.1 Schematic diagram

2.7 Single-interface TM mode fields

2.7.1 Schematic diagram

2.9 Double-interface TE mode fields

2.9.1 Schematic diagram

2.10 Double-interface TM mode fields

2.10.1 Schematic diagram

2.14 Double-interface mode solution

2.14.3 Summary of mode solutions of a symmetric guide structure

2.15 Poynting vector

2.15.3  Local power flow in a single-interface mode

2.15.4  Local power flow in a double-interface modes

2.16 Prism coupling

2.16.2 Schematic diagram of the prism coupler

2.16.5 k-vectors in the cover, guide and substrate

2.17 Reflectivity and Goos-Hänchen shift

2.17.1 Reflectivity from a single-interface structure: Fresnel equations

2.17.2 Reflectance and reflectivity from three- and a four-interface structures

2.18 Summary

Exercises

(1) Discuss structures that give rise to the electromagnetic response of DNG-type media.
(2) Review the meaning of the refractive index in terms of Eq. (2.63) for lossy media.
(3) Derive Eq. (2.64) that gives the critical thickness, (Subscript[d, cr]), of a DNG-type waveguide and discuss its peculiar meaning.
(4) Derive Eq. (2.212) that gives the Goos-Hänchen shift and discuss its meaning in terms of the four possible media types.

References

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