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Mirrors in the air: mirages in nature and in the laboratory

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M Vollmer<br />

Figure 19. A layered solution of fresh water above salt water resembles an artificial <strong>in</strong>version layer. It allows <strong>the</strong><br />

observation of three-fold <strong>mirages</strong> (bottom) of objects (top).<br />

to my former friend E Tränkle, who died much too<br />

early.<br />

Received 1 October 2008, <strong>in</strong> f<strong>in</strong>al form 20 November 2008<br />

doi:10.1088/0031-9120/44/2/008<br />

References<br />

[1] M<strong>in</strong>naert M G J 1993 Light <strong>and</strong> Color <strong>in</strong> <strong>the</strong><br />

Outdoors 1st edn (Berl<strong>in</strong>: Spr<strong>in</strong>ger) (<strong>in</strong> Dutch<br />

1937)<br />

[2] Greenler R 1980 Ra<strong>in</strong>bows, Halos, <strong>and</strong> Glories<br />

(Cambridge: Cambridge University Press)<br />

[3] Lynch D K <strong>and</strong> Liv<strong>in</strong>gston W 2001 Color <strong>and</strong><br />

Light <strong>in</strong> Nature 2nd edn (Cambridge:<br />

Cambridge University Press)<br />

[4] Vollmer M 2005 Lichtspiele <strong>in</strong> der Luft:<br />

Atmosphärische Optik für E<strong>in</strong>steiger<br />

(Spektrum-Elsevier)<br />

[5] Cowley L, Laven Ph <strong>and</strong> Vollmer M 2005 R<strong>in</strong>gs<br />

around <strong>the</strong> sun <strong>and</strong> moon: coronae <strong>and</strong><br />

diffraction Phys. Educ. 40 51–9<br />

[6] Cowley L T www.atoptics.co.uk<br />

[7] Penndorf R 1957 Tables of <strong>the</strong> refractive <strong>in</strong>dex for<br />

st<strong>and</strong>ard <strong>air</strong> <strong>and</strong> <strong>the</strong> Rayleigh scatter<strong>in</strong>g<br />

coefficient for <strong>the</strong> spectral region between 0.2<br />

<strong>and</strong> 20 μm <strong>and</strong> <strong>the</strong>ir application to<br />

atmospheric optics J. Opt. Soc. Am. 47 176<br />

[8] Tricker R A R 1970 Introduction to<br />

Meteorological Optics (New York: Elsevier)<br />

[9] Parvia<strong>in</strong>en P www.polarimage.fi<br />

[10] Pernter J M <strong>and</strong> Exner F M 1922 Meteorologische<br />

Optik 2 edn (Vienna: W Braumüller)<br />

[11] Greenler R 1987 Laboratory simulation of <strong>in</strong>ferior<br />

<strong>and</strong> superior <strong>mirages</strong> J. Opt. Soc. Am. A 4 589<br />

[12] Vollmer M <strong>and</strong> Tammer R 1998 Laboratory<br />

experiments <strong>in</strong> atmospheric optics Appl. Opt.<br />

37 1557<br />

[13] Tape C 2000 Aquarium, computer, <strong>and</strong> Alaska<br />

range <strong>mirages</strong> Phys. Teach. 38 308<br />

[14] Vollmer M <strong>and</strong> Greenler R 2003 Halo <strong>and</strong> mirage<br />

demonstrations <strong>in</strong> atmospheric optics Appl.<br />

Opt. 42 394<br />

Michael Vollmer is professor of physics<br />

at <strong>the</strong> University of Applied Sciences <strong>in</strong><br />

Br<strong>and</strong>enburg, Germany, work<strong>in</strong>g <strong>in</strong> <strong>the</strong><br />

fields of <strong>in</strong>frared <strong>the</strong>rmal imag<strong>in</strong>g,<br />

spectroscopy, atmospheric optics <strong>and</strong><br />

didactics of physics. Besides teach<strong>in</strong>g<br />

<strong>and</strong> research he is also <strong>in</strong>volved <strong>in</strong><br />

<strong>in</strong>-service-teacher tra<strong>in</strong><strong>in</strong>g.<br />

174 P HYSICS E DUCATION March 2009

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