By quantitatively examining dispersion curves of surface plasmons along Ag, Al, Ni, and Fe films, we find that the incidence angle θo that produces a reflection minimum in a variety of ATR geometries is actually different from the angle θp that corresponds to the phase-matching condition. The difference between θp and θo is most significant in the Otto and Kretschmann geometries using metal films with large damping loss, such as Ni or Fe. In addition, we determine the angle θm at which maximum power density is coupled into the metal surface and show that in general the value of θm is also different from both θo and θp, the difference being again largest in the Otto or Kretschmann geometries. The differences between θo, θp, and θm are much smaller, but still detectable, in long-range surface plasmon and extended-range surface plasmon geometries. In all cases, the preferred incidence angle depends on whether one needs to optimize either the plasmon field composition or the power density in the metal.
© 1988 Optical Society of America
Equations on this page are rendered with MathJax. Learn more.