A method of constructing a band-stop filter comprises designing a band-stop filter including a signal transmission path, resonant elements disposed along the signal transmission path, and non-resonant elements coupling the resonant elements together to form a stopband having transmission zeroes corresponding to respective frequencies of the resonant elements. The method further comprises changing the order in which the resonant elements are disposed along the signal transmission path to create different filter solutions, computing a performance parameter for each filter solution, comparing the performance parameters to each other, selecting one of the filter solutions based on this comparison, and constructing the band-stop filter using the selected filter solution. Another RF band-stop filter comprises resonant elements coupled together to form a stopband, wherein at least two of the resonant elements have third order IMD components different from each other, such that the IMD components are asymmetrical about the stopband.