A perturbation and iterative perturbation analysis of linearly chirped grating lenses of medium Q in dielectric waveguides

A perturbation and iterative perturbation analysis of linearly chirped quasi-periodic structures of medium
Q
factor in planar dielectric waveguides has been formulated. This analysis can be used to calculate the diffraction efficiency and the angular field of view of a given linearly chirped grating structure, for a specific incident beam including the effect of higher orders of diffractions. The numerical example of a
F = 10 , f = 10
m.m,
\Lambda_{\min} = 2.06, \Lambda_{\max} = 4.25
and grating groove length = 15 μm is presented.