A. M. Lerer*, I. V. Donets, G. A. Kalinchenko, and P. V. Makhno
Author Affiliations
Physics Department, Southern Federal University Rostov-na-Donu, Zorge St. 5, 344090 Rostov-na-Donu, Russiashow less
Fig. 1. Structures under consideration.
Fig. 2. Solid curves represent dispersion characteristics and effective propagation length for the metal waveguide shown in the inset. The red curves correspond to b=20 nm, black to 15 nm. The dashed curves depict analytical solutions for thin-film waveguides.
Fig. 3. Dispersion characteristics and effective propagation length for the metal waveguide shown in the inset. The red curves correspond to W=500 nm; green, 900 nm; and black, infinity.
Fig. 4. Dispersion characteristics and effective propagation length for the metal waveguide shown in the inset. All dimensions are in nanometers.
Fig. 5. Dispersion characteristics for the metal waveguide shown in the inset.
Fig. 6. Dispersion characteristics of waves propagating at different angles to the axis x in all-dielectric PC [Fig. 1(c)]. Black solid curves correspond to φ=0°, green to φ=10°, red to φ=12°, and blue to φ=14°. The dashed curves depict the result for φ=0° obtained by Ansoft HFSS commercial software. All dimensions are in nanometers.
Fig. 7. Normalized losses (top) and dispersion characteristics (bottom) for PC made of perforated silver film placed over a dielectric substrate [Fig. 1(c)]. Waves propagate at the angle φ=0°. Green symbols correspond to zero harmonics, blue to −1st harmonics. Red solid curve corresponds to nonperforated film.
Fig. 8. Dispersion characteristics for PC made of silver cylinders placed on a two-layer dielectric structure [Fig. 1(d)]. The dielectric layer thickness is b=100 nm on the upper graph and b=150 nm on the lower graph. The red symbols refer to cylinders of 70 nm diameter, black to 90 nm. A wave propagates at the angle φ=0°.
| Exact Solution | Approximate Solution |
---|
, nm | | | | |
---|
450 | 1.36577 | 0.05357 | 1.36438 | 0.04643 | 500 | 1.22712 | 0.02266 | 1.22702 | 0.02048 | 550 | 1.16068 | 0.01251 | 1.16066 | 0.01156 | 600 | 1.12289 | 0.00841 | 1.12288 | 0.00785 | 700 | 1.07894 | 0.00509 | 1.07894 | 0.00478 | 800 | 1.05587 | 0.00304 | 1.05587 | 0.00289 |
|
Table 1. Complex Refractive Index Obtained with Eqs. (5) and (6) for E-Wave Propagating on the Boundary of Half-Infinite Silver and Dielectric Layers
| Exact Solution | Approximate Solution |
---|
, nm | | | | |
---|
500 | 2.62073 | 0.05429 | 2.62030 | 0.04906 | | 2.11350 | 0.02566 | 2.11324 | 0.02312 | 550 | 2.36265 | 0.03524 | 2.36255 | 0.03238 | | 1.99280 | 0.01451 | 1.99276 | 0.01336 | 600 | 2.21051 | 0.02626 | 2.21046 | 0.02429 | | 1.92396 | 0.00989 | 1.92394 | 0.00919 | 700 | 2.02354 | 0.01777 | 2.02349 | 0.01643 | | 1.84336 | 0.00605 | 1.84334 | 0.00562 | 800 | 1.92483 | 0.01114 | 1.92482 | 0.01039 | | 1.80117 | 0.00362 | 1.80130 | 0.00342 |
|
Table 2. Complex Refractive Index Obtained with Eqs. (5) and (6) for E-Wave Propagating in Vacuum-Silver Film-Dielectric Structure
| | Our Results | Data from [28] |
---|
, THz | , nm | | | | |
---|
500 | 600 | 1.29305 | 2.984 | 1.28 | 3 | 400 | 750 | 1.20683 | 14.690 | 1.21 | 17 | 300 | 1000 | 1.16711 | 23.438 | 1.17 | 23.3 | 200 | 1500 | 1.15051 | 24.736 | 1.14 | 33.3 |
|
Table 3. Effective Refractive Index and Effective Propagation Length Obtained with Volume Integral Method and Full-Vectorial Finite Difference Method for Linear Oblique and Curved Interfaces for E-Wave Propagating in Rectangular Gold Groove