Spectra of absolute instruments from the WKB approximation
We calculate the frequency spectra of absolute optical instruments using the Wentzel–Kramers–Brillouin (WKB) approximation. The resulting eigenfrequencies approximate the actual values very accurately; in some cases they even give the exact values. Our calculations confirm the results obtained previ...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/6/065005 |
| _version_ | 1797751613871357952 |
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| author | Tomáš Tyc |
| author_facet | Tomáš Tyc |
| author_sort | Tomáš Tyc |
| collection | DOAJ |
| description | We calculate the frequency spectra of absolute optical instruments using the Wentzel–Kramers–Brillouin (WKB) approximation. The resulting eigenfrequencies approximate the actual values very accurately; in some cases they even give the exact values. Our calculations confirm the results obtained previously by a completely different method. In particular, the eigenfrequencies of absolute instruments form tight groups that are almost equidistantly spaced. We demonstrate our method and its results applied to several examples. |
| first_indexed | 2024-03-12T16:51:06Z |
| format | Article |
| id | doaj.art-e2ee349081824d40b0350844ee0a22fe |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:06Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e2ee349081824d40b0350844ee0a22fe2023-08-08T11:11:35ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115606500510.1088/1367-2630/15/6/065005Spectra of absolute instruments from the WKB approximationTomáš Tyc0Faculty of Science and Faculty of Informatics, Masaryk University , Kotlářská 2, 61137 Brno, Czech RepublicWe calculate the frequency spectra of absolute optical instruments using the Wentzel–Kramers–Brillouin (WKB) approximation. The resulting eigenfrequencies approximate the actual values very accurately; in some cases they even give the exact values. Our calculations confirm the results obtained previously by a completely different method. In particular, the eigenfrequencies of absolute instruments form tight groups that are almost equidistantly spaced. We demonstrate our method and its results applied to several examples.https://doi.org/10.1088/1367-2630/15/6/065005 |
| spellingShingle | Tomáš Tyc Spectra of absolute instruments from the WKB approximation New Journal of Physics |
| title | Spectra of absolute instruments from the WKB approximation |
| title_full | Spectra of absolute instruments from the WKB approximation |
| title_fullStr | Spectra of absolute instruments from the WKB approximation |
| title_full_unstemmed | Spectra of absolute instruments from the WKB approximation |
| title_short | Spectra of absolute instruments from the WKB approximation |
| title_sort | spectra of absolute instruments from the wkb approximation |
| url | https://doi.org/10.1088/1367-2630/15/6/065005 |
| work_keys_str_mv | AT tomastyc spectraofabsoluteinstrumentsfromthewkbapproximation |