The analysis of compact astronomical objects has generally dealt with
the physical properties of the source within a two-parameter space, wh
ich is defined by the spectral characteristics and time variability. T
his approach often leads to the situation whereby two or-more very dif
fer ent models can explain the observations successfully. Polarimetric
observations have the diagnostic potential to discriminate between th
e different compact source models and can offer a unique insight into
the geometrical nature of the emission zones. To date, however, no pol
arization observation in the gamma-ray energy domain has been successf
ully performed, due to the difficulties in making polarimetric measure
ments in this high-energy region of the spectrum. In this piper the po
larized gamma-ray emission mechanisms are reviewed with the emphasis o
n their detectable characteristics. Potential astronomical sites in wh
ich these emission mechanisms may be at work are discussed. Observatio
nal results obtained in other wavebands and theoretical predications m
ade for some of the most likely astronomical sources of polarization a
re reviewed. Compton polarimetry has long been used in the field of nu
clear gamma-ray spectroscopy in the laboratory. The operational princi
ple behind all generations of nuclear gamma-ray polarimeters has been
to measure the asymmetry in the azimuthal distribution of the scattere
d photons. However none of the polarimeters designed for laboratory ex
periments will be sensitive enough to observe even the strongest astro
nomical source. In the past few years there have been a number of inno
vative developments aimed at the construction of astronomical gamma-ra
y polarimeters, either as dedicated experiments or in missions with po
larimetric capability. The designs of all the polarimeters are based o
n either discrete or continuous position sensitive detector planes. In
this paper the data analysis techniques associated with this type of
polarimeter are discussed as well as methods of removing some of the s
ystematic effects introduced by a non-ideal detector response function
and observation conditions. Laboratory tests of these new polarimetri
c techniques are reviewed. They demonstrate the feasibility of buildin
g a suitably sensitive astronomical gamma-ray polarimeter. Optimizatio
n of the design of pixellated detector an ay based polarimeters is als
o addressed. The INTEGRAL mission, which is to be launched by ESA in t
he year 2001, is the most likely telescope to perform the first succes
sful gamma-ray polarization observation. The polarimetric characterist
ics of the two main instruments on board INTEGRAL are evaluated and th
eir sensitivities to a wide range of potentially polarized gamma-ray s
ources are estimated.