We have implemented a Finite-Beam Rigorous Coupled-Wave Approach (FB-RCWA) to solve for guided-optics
propagation in the presence of holographic slanted Bragg gratings, embedded in the core of slab waveguides and
operated in Extreme Asymmetrical Scattering (EAS) configuration. In EAS a resonance condition can be established, as
proceeding from the design parameters. Diffraction efficiency can be evaluated as the ratio of the flux of diffracted
power P1, on a suitably defined cross-section along the propagation of diffracted beam, and input power P0. By FBRCWA,
no limitation in the depth of grating modulation is assumed. The first-order diffracted field in resonant Bragg
condition propagates along the waveguide. EAS in thick waveguides operating in highly multimodal regime can be
investigated, as well as macroscopic volumes and widely extended illuminated regions up to a few millimeters. In thick
slabs, η > 90% is demonstrated, for input illuminated apertures of length L ≥ Lc, where Lc is the optimum coupling
length. The effects of detuning from Bragg condition, both in distribution and amplitude of the diffracted field, are
quantified. Diffraction efficiency, i.e. optical coupling, bandwidth is evaluated.
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