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The paper gives an introduction to the gravitational radiation theory ofisolated sources and to the propagation properties of light rays in radiativegravitational fields. It presents a theoretical study of the generation,propagation, back-reaction, and detection of gravitational waves fromastrophysical sources. After reviewing the various quadrupole-moment laws forgravitational radiation in the Newtonian approximation, we show how toincorporate post-Newtonian corrections into the source multipole moments, theradiative multipole moments at infinity, and the back-reaction potentials. Wefurther treat the light propagation in the linearized gravitational fieldoutside a gravitational wave emitting source. The effects of time delay,bending of light, and moving source frequency shift are presented in terms ofthe gravitational lens potential. Time delay results are applied in thedescription of the procedure of the detection of gravitational waves.Comment: 21 pages, LaTex, to appear in C. L\"ammerzahl, C.W.F. Everitt, F.W.  Hehl (eds.): ``Gyros, Clocks, and Interferometers: Testing Relativistic  Gravity in Space'', Springer-Verlag, Berlin 200

Gravitational Radiation Theory and Light Propagation