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We report the systematic analysis of knots, hotspots, and lobes in 57 activegalactic nuclei (AGNs) to investigate the variation of the magnetic field alongwith the jet from the sub-pc base to the terminus in kpc-to-Mpc scales.Expanding the number of radio/X-ray samples in Kataoka & Stawarz (2005), weanalyzed the data in 12 FR I and 30 FR II radio galaxies, 12 quasars, and 3 BLLacs that contained 76 knots, 42 hotspots, and 29 radio lobes. We first derivedthe equipartition magnetic fields in the cores and then estimated those invarious jet components by assuming $B_{\rm est}$ $\propto$ $d^{-1}$, where $d$is the distance from the jet base. On the other hand, the magnetic field inlarge-scale jets (knots, hotspots, and lobes), $B_{\rm eq}$, can be estimatedfrom the observed flux and spatial extent under the equipartition hypothesis.We show that the magnetic field decreases as the distance along the jetincreases, but generally gentler than $\propto d^{-1}$. The increase in $B_{\rmeq}/B_{\rm est}$ at a larger $d$ may suggest the deceleration of the jet aroundthe downstream, but there is no difference between FR I and FR II jets.Moreover, the magnetic fields in the hotspots are systematically larger thanthose of knots and lobes. Finally, we applied the same analysis to knots andlobes in Centaurus A to check whether the above discussion will hold even in asingle jet source.

Spatial variations of magnetic field along active galactic nuclei jets on sub-pc to Mpc scales