, ▁a ▁super position ▁is ▁interpreted ▁as ▁a ▁vector ▁sum . ▁ ▁Rel ation ▁to ▁Fourier ▁analysis ▁and ▁similar ▁methods ▁By ▁writing ▁a ▁very ▁general ▁stim ulus ▁( in ▁a ▁linear ▁system ) ▁as ▁the ▁super position ▁of ▁stim uli ▁of ▁a ▁specific ▁and ▁simple ▁form , ▁often ▁the ▁response ▁becomes ▁easier ▁to ▁compute . ▁ ▁For ▁example , ▁in ▁Fourier ▁analysis , ▁the ▁stim ulus ▁is ▁written ▁as ▁the ▁super position ▁of ▁infinitely ▁many ▁sin us oid s . ▁Due ▁to ▁the ▁super position ▁principle , ▁each ▁of ▁these ▁sin us oid s ▁can ▁be ▁analyz ed ▁separately , ▁and ▁its ▁individual ▁response ▁can ▁be ▁computed . ▁( The ▁response ▁is ▁itself ▁a ▁sin us oid , ▁with ▁the ▁same ▁frequency ▁as ▁the ▁stim ulus , ▁but ▁generally ▁a ▁different ▁amplitude ▁and ▁phase .) ▁According ▁to ▁the ▁super position ▁principle , ▁the ▁response ▁to ▁the ▁original ▁stim ulus ▁is ▁the ▁sum ▁( or ▁integral ) ▁of ▁all ▁the ▁individual ▁sin us oid al ▁responses . ▁ ▁As ▁another ▁common ▁example , ▁in ▁Green ' s ▁function ▁analysis , ▁the ▁stim ulus ▁is ▁written ▁as ▁the ▁super position ▁of ▁infinitely ▁many ▁imp ulse ▁functions , ▁and ▁the ▁response ▁is ▁then ▁a ▁super position ▁of ▁imp ulse ▁responses . ▁ ▁Fourier ▁analysis ▁is ▁particularly ▁common ▁for ▁waves . ▁For ▁example , ▁in ▁elect romagnet ic ▁theory , ▁ordinary ▁light ▁is ▁described ▁as ▁a ▁super position ▁of ▁plane ▁waves ▁( w aves ▁of ▁fixed ▁frequency , ▁polar ization , ▁and ▁direction ). ▁As ▁long ▁as