|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Hidden symmetries in $N$-layer dielectric stacks | | Haihao Liu
; M. Shoufie Ukhtary
; Riichiro Saito
; | | Date: |
26 May 2017 | | Abstract: | The optical properties of a multilayer system of dielectric media with
arbitrary $N$ layers is investigated. Each layer is one of two dielectric
media, with thickness one-quarter the wavelength of light in that medium,
corresponding to a central frequency. Using the transfer matrix method, the
transmittance $T$ is calculated for all possible $2^N$ sequences for small $N$.
Unexpectedly, it is found that instead of $2^N$ different values of $T$ at the
central frequency ($T_0$), there are either $(N/2+1)$ or $(N+1)$ discrete
values of $T_0$ for even or odd $N$, respectively. We explain the high
degeneracy in the $T_0$ values by defining new symmetry operations that do not
change $T_0$. Analytical formulae were derived for the $T_0$ values and their
degeneracy as functions of $N$ and an integer parameter for each sequence we
call "charge". Additionally, the bandwidth of the transmission spectra at $f_0$
is investigated, revealing some asymptotic behavior at large $N$. | | Source: | arXiv, 1705.9535 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER