Publication details

Spectra of absolute instruments from the WKB approximation

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TYC Tomáš

Year of publication 2013
Type Article in Periodical
Magazine / Source New Journal of Physics
MU Faculty or unit

Faculty of Science

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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