Fig.1 summarizes the different contribution made in the development of the rigorous and approximate methods for modeling light propagation and diffraction in linear and nonlinear optics. Further details concerning the rigorous electromagnetic methods can be found in Table 1, which also contains links to the publications pages.

Fig.2 presnets the application of the theoretical methods of diffraction models shown in Fig.1 and detailed in Table 1 (with the links there) to different structures. The last part of the figure illustrates the different domains of applications in Science and technology.

They are summarized in the lower part of Fig.2 with links to the list of publications. go to Applications

Optics is a rare domain of Physics, where the same person can participate in fundamental theoretical studies, experimental works, and technological development. Grating history, in particular, is full of such examples. I have always stayed in contact with industrial gratingmen. At the beginning of my carrier, I have doen some experimental work in holographic grating manufacturing, which are summarized in Fig.3, with details that can be found in the publications on the technology.

Fig.1a.	The boxes 1D, 2D, and 3D describe the periodicity dimensions of the systems	Fig.1b (click on the figure to go to Table 1)

Fig.2.       (click here to go to the Applications)

Fig.3