We report a numerical study on the frequency property of a system composed of an optical antenna array placed on the
surface of a dielectric grating. Such a periodic structure is designed for Raman spectroscopy application because of its
advantages over the conventional rough-surface based surface enhanced Raman spectroscopy: the position of the high
field intensity and the exact field magnitude is well controlled by the design, and the constructive interference from the
elements placed in periodic array may form a collective resonance and provide a further enhancement to the field
intensity. By integrating and weakly coupling the guided mode resonance (GMR) of a dielectric grating with optical
nano-antennas made of plasmonic materials that are also field-enhancing devices, it provides a further enhanced local
field around the antenna. We specifically studied the behavior of the device under oblique incidence, and show that
multiple resonant peaks are observed in the spectrum. The application of the device in a Raman process is discussed in
details.
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