By Stefan Alexander Maier

ISBN-10: 0387331506

ISBN-13: 9780387331508

ISBN-10: 0387378251

ISBN-13: 9780387378251

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**Additional info for Plasmonics: Fundamentals and Applications**

**Sample text**

2) simplifies to the central equation of electromagnetic wave theory, ∇ 2E − ε ∂ 2E = 0. 3) Practically, this equation has to be solved separately in regions of constant ε, and the obtained solutions have to been matched using appropriate boundary conditions. 3) in a form suitable for the description of confined propagating waves, we proceed in two steps. First, we assume in all generality a harmonic time dependence E(r, t) = E(r)e−iωt of the electric field. 4) where k0 = ωc is the wave vector of the propagating wave in vacuum.

5 μm, 10 μm, and 100 μm (= 3 THz). For a gap of 20 nm for example, at λ0 = 850 nm this fraction already reaches 40%. Note that the gap size is normalized to the respective free space wavelength. It is apparent that along with the increased localization of the field to the gold/air interface, either via small gap sizes or excitation closer to ωsp , comes a shift of the energy into the metal regions. , 1999] an effective mode length Leff , with Leff (z0 )ueff (z0 ) = ueff (z)dz. g. the location of an emitter).

Solving this system of linear equations results in an implicit expression for the dispersion relation linking β and ω via e−4k1 a = k1 /ε1 + k2 /ε2 k1 /ε1 + k3 /ε3 . 12), the equation of two uncoupled SPP at the respective interfaces. e. ε2 = ε3 and thus k2 = k3 . 28) can be split into a pair of equations, namely k2 ε1 k1 ε2 k1 ε2 tanh k1 a = − . 29b) describes modes of even vector parity (Ex (z) is even function, Hy (z) and Ez (z) are odd). 29b) can now be applied to IMI and MIM structures to investigate the properties of the coupled SPP modes in these two systems.

### Plasmonics: Fundamentals and Applications by Stefan Alexander Maier

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