OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 3 — Jan. 20, 2003
  • pp: 318–331

Symmetry in halo displays and symmetry in halo-making crystals

Gunther P. Können  »View Author Affiliations


Applied Optics, Vol. 42, Issue 3, pp. 318-331 (2003)
http://dx.doi.org/10.1364/AO.42.000318


View Full Text Article

Enhanced HTML    Acrobat PDF (2276 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The relation between the symmetry in halo displays and crystal symmetry is investigated for halo displays that are generated by ensembles of crystals. It is found that, regardless of the symmetry of the constituent crystals, such displays are always left-right (L–R) symmetric if the crystals are formed from the surrounding vapor. L–R symmetry of a halo display implies here that the cross sections for formation of a halo arc on the left-hand side of the solar vertical and its right-hand side mirror image are equal. This property leaves room for two types of halo display only: a full symmetric one (mmm-symmetric), and a partial symmetric one (mm2-symmetric) in which halo constituents lack their counterparts on the other side of the parhelic circle. A partial symmetric display can occur only for point halos. Its occurrence implies that a number of symmetry elements are not present in the shape of the halo-making crystals. These elements are a center of inversion, any rotatory-inversion axis that is parallel to the crystal spin axis P, a mirror plane perpendicular to the P axis, and a twofold rotation axis perpendicular to the P axis. A simple conceptual method is presented to reconstruct possible shapes of the halo-generating crystals from the halos in the display. The method is illustrated in two examples. Halos that may occur on the Saturnian satellite Titan are discussed. The possibilities for the Huygens probe to detect these halos during its descent through the Titan clouds in 2005 are detailed.

© 2003 Optical Society of America

OCIS Codes
(010.1110) Atmospheric and oceanic optics : Aerosols
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.2940) Atmospheric and oceanic optics : Ice crystal phenomena
(350.1270) Other areas of optics : Astronomy and astrophysics

History
Original Manuscript: January 16, 2002
Revised Manuscript: May 13, 2002
Published: January 20, 2003

Citation
Gunther P. Können, "Symmetry in halo displays and symmetry in halo-making crystals," Appl. Opt. 42, 318-331 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-3-318

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited