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DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

DICTIONARY OF GEOPHYSICS, ASTROPHYSICS, and ASTRONOMY

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point object<br />

point object Astronomical source that has<br />

an angular diameter smaller than the resolving<br />

power of the instrument used to observe it.<br />

point spread function (PSF) In an optical<br />

system, the apparent radiance due to an<br />

unresolved Lambertian (cosine-emitting) point<br />

source, as normalized to the source intensity<br />

in the direction of maximum emission [m −2 ];<br />

numerically equal to the beam spread function.<br />

The PSF is the intensity distribution of a point<br />

source as it appears on the detector. The PSF<br />

is the result of any distorting factors induced<br />

by the full optical path including that of the instrument<br />

<strong>and</strong> environmental effects (e.g., atmospheric<br />

seeing).<br />

Poiseuille’s law The mean velocity (U) for<br />

steady laminar flow through a uniform pipe<br />

can be described as U=−(dp/dx)(D 2 /32µ),<br />

where D is the diameter of the pipe, µ is the<br />

viscosity of the fluid, <strong>and</strong>dp/dx is the pressure<br />

decrease in the direction of flow. Poiseuille’s<br />

law is derived from the Bernoulli equation, assuming<br />

that elevation along the pipe is constant.<br />

We can generalize the equation by allowing the<br />

pipe to be inclined at an angle <strong>and</strong> adding a term<br />

related to the elevation difference, giving<br />

U=− d<br />

<br />

p<br />

ds ρg +z<br />

<br />

D2ρg 32µ<br />

whereds is the length of a short section of pipe,<br />

ρg is the fluid weight, <strong>and</strong>z is the elevation difference.<br />

Note that the term in brackets is the<br />

hydraulic head h, a term used frequently in hydrology.<br />

Poisson’s ratio When an isotropic elastic<br />

object is subject to elongation or compressive<br />

stressTz a strainεz results in the direction of the<br />

stress. At the same time a strain arises in the<br />

transverse directions,εx ,εy.Ifεz is an elongation,<br />

thenεx =εy are compressive. The ratio<br />

ν=− εx<br />

εz<br />

is called Poisson’s ratio.<br />

=− εy<br />

εz<br />

polar cap The region surrounding one of the<br />

poles of the Earth. In magnetospheric physics,<br />

© 2001 by CRC Press LLC<br />

368<br />

the region surrounding the magnetic pole, in<br />

general the one inside the auroral oval. That<br />

region is believed to be connected to “open”<br />

field lines which extend to great distances from<br />

Earth <strong>and</strong> which to all intents <strong>and</strong> purposes can<br />

be considered to be linked to Earth at one end<br />

only. The existence of polar cap precipitation<br />

(infalling charged particles) suggests the other<br />

end is linked to the interplanetary magnetic field.<br />

polar cap absorption (PCA) At the polar<br />

cusps, even solar energetic particles with relativelylowenergies(ingeneralprotonswithenergies<br />

between about 1 MeV <strong>and</strong> 100 MeV) from<br />

a solar flare or coronal mass ejection can follow<br />

magnetic field lines to penetrate down to<br />

the ionosphere <strong>and</strong> stratosphere into heights between<br />

30 <strong>and</strong> 90 km. These particles lead to<br />

an increased ionization, which in turn leads to<br />

the absorption of radio waves that may last up<br />

to days. Since this absorption is limited to the<br />

polar regions, this phenomenon is called polar<br />

cap absorption (PCA). Owing to the propagation<br />

time of particles between the sun <strong>and</strong> the<br />

Earth, a polar cap absorption generally starts a<br />

few hours after a flare. In contrast, a similar effect<br />

on radio waves on the dayside atmosphere,<br />

the sudden ionospheric disturbance (see sudden<br />

ionospheric disturbance), starts immediately after<br />

the flare because it is caused by hard electromagnetic<br />

radiation. Polar cap absorptions are<br />

limited to a small latitudinal ring around the geomagnetic<br />

pole. Part of the particles’ energy is<br />

transferred to electromagnetic radiation in the<br />

visible range, the polar glow aurora, a diffuse<br />

reddish glow of the entire sky. Since the incoming<br />

protons also influence the upper atmospheric<br />

chemistry, in particular the NO production,<br />

strong polar cap absorptions lead to a decrease<br />

in the total ozone column at high latitudes.<br />

polar cap arc (or sunward arc) A type of<br />

aurora most often observed by satellite-borne<br />

imagers. Polar cap arcs extend into the polar<br />

cap, usually starting near midnight <strong>and</strong> stretching<br />

sunward. Polar cap arcs can extend many<br />

hundreds of kilometers or even all the way across<br />

the polar cap, in which case they are known as<br />

the theta aurora because the auroral configuration<br />

seen by orbiting imagers — the auroral oval

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