| Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 3, 2008
|
|
|---|---|---|
| Article Number | 08013 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.2971/jeos.2008.08013 | |
| Published online | 19 March 2008 | |
Regular papers
Transmission coefficient of a one-dimensional multi-layer medium from a sum over all light-rays
University of Groningen and Zernike Institute for Advanced Materials, Nijenborgh 4, 9747 AG Groningen, The Netherlands
Received:
17
January
2008
The transmission coefficient of a one-dimensional multi-layer medium is obtained by summing the amplitude coefficients of all individual transmitted light-rays. As compared to the transfer-matrix method, the sum-over-all-light-rays derivation results in a very intelligible expression, which is interesting from a theoretical point of view. Exactly as in the case of a single-layer medium, the sum of all light-rays through the multi-layer medium is obtained from a geometric series. The system does not have to be periodic; the layers have arbitrary physical lengths and each layer has an arbitrary electromagnetic response.
Key words: one-dimensional multi-layer medium / transmission coefficient
© The Author(s) 2008. All rights reserved.
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