Bloch-mode extraction from near-field data in periodic waveguides

Abstract

We demonstrate that the spatial profiles of both propagating and evanescent Bloch-modes in a periodic structure can be extracted from a single measurement of electric field at the specified optical wavelength. We develop a systematic extraction procedure by extending the concepts of high-resolution spectral methods previously developed for temporal data series to take into account the symmetry properties of Bloch-modes simultaneously at all spatial locations. We apply our method to a photonic crystal waveguide interface and confirm its robustness in the presence of noise.