How can I prevent ice build-up on storm door windows?

Every winter I am annoyed by the ice buildup on my storm door windows. With the very cold temps in my area and opening and closing the door numerous times a day to let the dogs out, the warm air is always hitting the glass, condensation forms and then freezes. My other door doesn't do this because I don't use it in the winter! After some research, I vented the lower glass panel about an inch, and then applied clear Contac paper on the windows to prevent ice from forming on the glass. I tried window film but it wouldn't adhere to the cold glass. My theory is that ice shouldn't form on the contact paper! It's not exactly see through--more of a frosted effect but less frosted effect than the ice! What do you think? Will it work?