Marko Riikonen,
Mika Sillanpää,
Leena Virta,
Daniel Sullivan,
Jarmo Moilanen,
and Ismo Luukkonen
M. Riikonen, L. Virta, D. Sullivan, J. Moilanen, and I. Luukkonen are with the Ursa Astronomical Association, Raatimiehenkatu 3, 00140 Helsinki, Finland.
M. Sillanpää (mika.sillanpaa@iki.fi) is with the Low Temperature Laboratory, Helsinki University of Technology, P.O. Box 2200, 02015 Espoo, Finland.
Marko Riikonen, Mika Sillanpää, Leena Virta, Daniel Sullivan, Jarmo Moilanen, and Ismo Luukkonen, "Halo observations provide evidence of airborne cubic ice in the Earth’s atmosphere," Appl. Opt. 39, 6080-6085 (2000)
An ice crystal halo display that contains several previously
unknown halo phenomena was observed in Northern Chile. Analysis of
computer simulations of the halos demonstrates that most of the new
halo arcs in the display can be explained by the presence of airborne
and preferentially oriented crystals of cubic ice. These
observations therefore provide evidence of the existence of the cubic
phase of ice in the Earth’s atmosphere.
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 Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Var is the variance of the Gaussian
distribution. The c axis refers to the crystallographic
axis. In the hexagonal system, it is the crystal’s principal
axis. The c-axis angle is the average angle relative to
the vertical direction. The zero rotation angle around the
c axis means that the tilting direction of the c
axis is perpendicular to one side face. Truncation of a pyramidal
end is defined as (H - h)/H, where H
and h are the nontruncated and truncated height of the
pyramid, respectively (for example, a crystal with a truncation of
zero is a complete crystal with no truncation of the crystal
ends). The values within parentheses were used in Fig. 4(d).
Table 2
Ray Paths for the Halos and Arcs that Appear in the
Simulationsa
Population
Halo Type
Ray Path(s)
H-I
18° parhelia (18P)
13–25
20° upper parhelion (20UP)
13–16
20° lower parhelion (20LP)
23–26
23° upper parhelion (23UP)
1–23
23° lower parhelion (23LP)*
13–2
35° upper parhelion (35UP)
13–15
35° lower parhelion (35LP)
23–25
H-II
18° halo (18H)
13–25
20° halo (20H)
13–16
C-I
28Ca*
13–15, 13–24
28Cb*
14–25, 23–25
28Cc*
14–16, 16–23, 23–14
28Cd*
26–24, 24–15, 15–26
19Ca*
1–26
19Cb*
1–23, 23–1
19Cc*
1–25
C-II
28° halo (28H)*
13–15, 13–24
C-III
28Ce*
13–15
Figures 2 and 3 provide the numbers for
the ice Ih (H) and ice Ic (C) crystal faces. The
abbreviated halo names are within parentheses. The first number in
the coding of the ice Ic halos (19, 28) refers to the radius of the
circular halo with which it is associated. The two ray paths for
arc 19Cb actually form two different halo arcs, but the strong tilting
angles of the crystals in the simulations cause these arcs to
merge. Population C-III has been invoked only for the simulation of
Fig. 1(d) (-1° solar elevation). Halos and arcs for
which we do not know of earlier photographic documentation are marked
by an asterisk.
Var is the variance of the Gaussian
distribution. The c axis refers to the crystallographic
axis. In the hexagonal system, it is the crystal’s principal
axis. The c-axis angle is the average angle relative to
the vertical direction. The zero rotation angle around the
c axis means that the tilting direction of the c
axis is perpendicular to one side face. Truncation of a pyramidal
end is defined as (H - h)/H, where H
and h are the nontruncated and truncated height of the
pyramid, respectively (for example, a crystal with a truncation of
zero is a complete crystal with no truncation of the crystal
ends). The values within parentheses were used in Fig. 4(d).
Table 2
Ray Paths for the Halos and Arcs that Appear in the
Simulationsa
Population
Halo Type
Ray Path(s)
H-I
18° parhelia (18P)
13–25
20° upper parhelion (20UP)
13–16
20° lower parhelion (20LP)
23–26
23° upper parhelion (23UP)
1–23
23° lower parhelion (23LP)*
13–2
35° upper parhelion (35UP)
13–15
35° lower parhelion (35LP)
23–25
H-II
18° halo (18H)
13–25
20° halo (20H)
13–16
C-I
28Ca*
13–15, 13–24
28Cb*
14–25, 23–25
28Cc*
14–16, 16–23, 23–14
28Cd*
26–24, 24–15, 15–26
19Ca*
1–26
19Cb*
1–23, 23–1
19Cc*
1–25
C-II
28° halo (28H)*
13–15, 13–24
C-III
28Ce*
13–15
Figures 2 and 3 provide the numbers for
the ice Ih (H) and ice Ic (C) crystal faces. The
abbreviated halo names are within parentheses. The first number in
the coding of the ice Ic halos (19, 28) refers to the radius of the
circular halo with which it is associated. The two ray paths for
arc 19Cb actually form two different halo arcs, but the strong tilting
angles of the crystals in the simulations cause these arcs to
merge. Population C-III has been invoked only for the simulation of
Fig. 1(d) (-1° solar elevation). Halos and arcs for
which we do not know of earlier photographic documentation are marked
by an asterisk.