I have been to Murmansk in Russia, and Hammerfest and Tromso in Norway.
The trip to Hammerfest was pure chance because it happend on one of my "random" trips. It started at 06:00 on a Saturday morning at LHR
with me asking at the SAS counter: "Where can you send me today?". I was soon enroute to Oslo (MD-80). When I got there I asked at the Braathens desk where they too wanted to send me... ended up in Tromso (above the arctic circle already) in a 737-700, then spoke to a nice Wideroe check-in agent who said Hammerfest was nice at that time of year. One hour later I was landing in a Dash-8 on the side of a mountain(!) That is an unforgettable landing.. Hammerfest is bleak! It was only a half-mile walk into town.
Landing in Murmansk (Aeroflot Tu-154) was in IMC down to a few hundred feet so I didnt get to see the surrounding area from the air, but I got a great view in Norway.
There is very little vegetation. Most of it is what I know as "scrub".. small stunted trees and grasses. Lots of rocks and shale. Grey!
One very interesting point for photography is that when it is sunny, the quality of the light is fantastic. Amongst the greyness, any spot of colour is greatly enhanced. The sky is blue blue blue... right down to the horizon. Something you rarely see further south in Europe.
The arctic is an interesting place. I would recommend it to anyone.