How does one build a distributed low-pass filter with cutoff frequency of 1hz and highest frequency of 10^13hz (or arbitrarily high)? In case of lumped circuits, this is easy to do, but in case of distributed elements circuits, I am not sure if one can build such a low-pass filter.
Any type of low-pass filter is fine, including Butterworth.
By "highest" frequency, I mean that an input signal is known to have a certain highest frequency part, and that above $1$hz all high frequency parts are low-pass filtered properly up to the highest frequency, as expected in lumped low-pass filter analysis (ex. 1/(s+1) transfer function)