Spectra of absolute instruments from the WKB approximation
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | New Journal of Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://iopscience.iop.org/1367-2630/15/6/065005/ |
| Doi | http://dx.doi.org/10.1088/1367-2630/15/6/065005 |
| Field | Optics, masers and lasers |
| Keywords | frequency spectra; absolute instruments; WKB approximation; Airy functions |
| 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. |
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