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This is a technique post, not a particularly pretty picture.
For Christmas I converted a camera body to infrared (720nm filter). I came across a hazy mid-day scene recently which was great for demonstrating how well infrared cuts through haze (more accurately how much less infrared light scatters from haze than visible light). For comparison I also shot with a polarizer, in this case the sun was at nearly a 90 degree angle to the shot so this is about as much as a polarizer will ever be able to do.
All three are crops of a larger shot, processed identically at standard settings in LR with the only alteration being spot WB for the IR shot to keep it mostly neutral. Notice the differences in detail and contrast in the distant mountains.
Standard Body w/polarizer
IR Converted Body
Finally, just for kicks, here is the full frame shot with some quick post-processing applied (contrast, clarity, curves and a gradient adjustment for the sky and background):
So, if you don't mind B&W and you do shoot distant vistas you might consider IR as part of your arsenal.
Happy new year!