Excitation symmetry analysis method (ESAM) for calculation of higher order non-linearities

A non-linear system with 3rd order non-linearity is fully characterized using symmetry analysis (SA) applied to the excitation, as it is done in 2nd order non-linear systems using the pulse inverted method. Symmetry analysis is performed using irreductible representations and the character table of C3C3 rotation point group, which leads to the construction of three eigen-excitations allowing extraction of the 3rd order non-linearity parameter without the perturbation of fundamental and 2nd order terms. Validation of this concept is based on excitation symmetry analysis method (ESAM) which was tested on simulated noisy signals and compared with classical spectral analysis.