Analytical proof of Schottky’s conjecture for multi-stage field emitters
| Autor: | Edgar Marcelino de Carvalho Neto |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
010302 applied physics
Physics Conjecture Field (physics) Mathematical analysis General Physics and Astronomy Schottky diode Order (ring theory) Conformal map 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Superposition principle 0103 physical sciences Line (geometry) Limit (mathematics) 0210 nano-technology |
| Zdroj: | Journal of Applied Physics. 126:244502 |
| ISSN: | 1089-7550 0021-8979 |
| DOI: | 10.1063/1.5126245 |
| Popis: | Schottky’s conjecture is analytically proved for multistage field emitters consisting of the superposition of rectangular or trapezoidal protrusions on a line under some specific limit. The case in which a triangular protrusion is present on the top of each emitter is also considered as an extension of the model. The results presented here are obtained via Schwarz-Christoffel conformal mapping and reinforce the validity of Schottky’s conjecture when each protrusion is much larger than the ones above it, even when an arbitrary number of stages is considered. Moreover, it is showed that it is not necessary to require self-similarity between each of the stages in order to ensure the validity of the conjecture under the appropriate limits. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|