Why does passive RC filter create THD

filter

I am trying to make a fourth order passive RC low pass filter. I simulate it in Multisim but find that the filter creates THD. And the higher the order of the filter, the larger the THD. I can`t figure out why.
Here is the schematic:

schematic

simulate this circuit – Schematic created using CircuitLab

Best Answer

I'll paraphrase what Dave Tweed says.

If you input a sinewave then there is no misshaping of the signal just an attenuation that is dependent on how high the input frequency is. If you input a square wave, the output will be misshaped because the harmonics (that comprise the square wave) will be attenuated at significantly different levels and you'll likely start to see an output that more resembles a sine wave or triangular wave.

Here's what a 1kHz square wave looks like when it is filtered with the same circuit as the OP has in his question: -

enter image description here

The input is 1Vp-p centred on 3V dc and as you can see the square wave is nearly triangular.