Fundamental Concept
Light and other Electromagnetic Waves have dual character, i.e. they show properties of both matter and waves. Young's Double Slit Experiment is a proof of the Wave Nature of Light while The Photoelectric Effect proves the partical Nature of Light.
The basic logic as I understand it is that, when particles meet at a point, they collide. When two waves meet at a point they interfere. It is like drawing two graphs on the same graph paper and then getting the resultant.
If two waves interfere at a point, then there Amplitudes are related as :
Anet = A1 + A2
![By César Rincón (Own work) [GFDL (http://www.gnu.org/copyleft/fdl.html) or CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0/)], via Wikimedia Commons A Simple Pulley](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg6ahIkUCGGg6dpm3oeGzefveZ4J4BbrQmqFiXE2vqdU5ueA1RMrLNhz5E4vI-nfTK8X72kL5K8fPsKWdPnkOTabEsPBfPmkRVX52bu2ZDwRBo19l695aZI021Le4dCbjJankSIDXZiJ_8/s1600/Simple+Pulley.jpg)