Cryptography Based on 2D Ray Tracing

We introduce the first symmetric key cryptographic scheme involving a light ray's interaction with a 2D cartesian coordinate setup, several smaller boxes within this setup, of either reflection or refraction type and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$1^{{st }}, 2^{{nd }}$</tex> or <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$3^{{rd }}$</tex> degree polynomial curves inside each of these smaller boxes. We also incorporate boolean logic gates of types XOR, NOT-Shift and Permutation which get applied to the light ray after each interaction with a reflecting or refracting polynomial curve. This alternating interaction between Optical gates (polynomial curves) and Nonoptical gates creates a complex and secure cryptographic system. Furthermore, we design and launch customized attacks on our cryptographic system and discuss the robustness of it against these.