Background is very important for me and I didn't have some pictures if for example, I wouldn't have some particular lens. I had luck and was able to take this picture with 400/2.8 FL because my partner had 800PF in this time ;-) I think, with higher F number it would not be possible to get that impact of the scene because the background will be more destructive:
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Sometimes it is only background or bokeh what is most important to get some special idea. Old lenses have special character, special bokeh, special background rendering. I wanted to show some kind of forest-mystery and used an old Porst to get the bubble-bokeh:
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Well.. but here is one more important thing..
A FOREGROUND!!
What do you think is it a background or the foreground around the butterfly here?
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Right. It is a foreground. It renders like an aquarelle. Well, you would say we are taking photos of wildlife. Right. But we can always try some interesting ideas from one photography scope to the other. There are some bird photographers who are taking pictures of birds through the branches and leaves and it looks amazing.
I started to practice it as well.
Ans here is a good news about that: you don't need to have a heavy expensive lens for that!
Here is a Hornbill through the leaves and foliage:
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Somehow it makes the pictures more interesting, more close to nature.
It is not easy to shoot through the foliage with DSLR but it is possible. And now we have cameras with that amazing eye-AF!
So, you should try!
And sometimes you don't need to take care about the background if you use the foreground like a frame of your subjeect.