Zuiko 50mm F1.2 - (Probably) Fomopan 400 (possibly) expired(overexposed 1 stop to compensate) - Rodinal 1:25 - gif created by @monsterrobotics The above images were shot moments apart, on the same file, with the same lens.
The only difference is that one was shot straight through the lens, while the other was shot through a circular polarizer and deep red filter.
The difference in softness is most likely a result of poor focus or scanning on my part, however you will notice a pretty drastic difference in the distribution of shadows and highlights across the frame.
The darkening of the sky as well as the almost complete removal of the reflection on the ice are the result of the circular polarizer. A polarizer (to simplify wildly) uses a type of optical filter to remove a given angular orientation of light from the image. In practical terms, this means a polarizer can remove reflections from a scene, and by rotating the polarizer you can remove a given angle of reflection. This is most intuitive with reflections like in the ice above, but remember that the blue/white color of the sky is a result of light scattering (read: reflecting) off of the atmosphere itself, a properly rotated polarizer can create a deep darkness in the daytime sky, especially when pointed at a 90 degree angle to the direction of the sun.
If you really work at it you can produce extremely
dramatic black skies during broad daylight.
The red filters effects are more noticeable, but harder to quantify. As a general rule of thumb, in outdoor black and white scenes a colored filter will serve to increase contrast. The color of the filter will determine to what degree. The above was shot through a deep red filter, this results in an apparent brightening of the slightly orange sandstone cliff and exposed wood on the tree limbs, while also darkening the dark sky and pale blue ice.
When the trees still have leaves on them, you can get extremely dark
results from foliage even when the leaves are in direct sunlight.
Both of these techniques are central to my personal style of photography as I really value the extreme contrast you can achieve.
Of course, some of these results can be achieved in post(and both the linked images and the film images are post processed to my own tastes), especially the effects of the red filter. However I feel there is value to achieving the results you want in camera, it's more committal, intentional and especially with the polarizer cannot be fully replicated in post, as the physical arrangement of the light hitting the sensor is changed, not just it's color or gamma.
What do you think, do you use filters in your own work?