The optical properties of the sandwich of Ag nanorod array (NRA)/structured dielectric layer/Ag mirror have been investigated theoretically and experimentally, where the structured dielectric layer has stacked sublayers of an anisotropic nanocolumnar layer and a uniform layer. The functions of the nanocolumnar and the uniform sublayers are to control shape of the Ag nanorods and to tune optical path length inside the sandwich, respectively. Calculations based on a simple model by treating the NRAs as uniform effective media indicate that the antireflection condition is realized by changing the thickness of the dielectric layer and that the Ag nanorods absorb most of the incident light. The designed structures have been successfully fabricated by taking advantages of the dynamic oblique-angle deposition technique. Under the experimental antireflection condition, Raman scattering measured on the Ag NRA in the near infrared region exhibits significant enhancement. This indicates that the local electric field close to the Ag nanorods can be controlled by the interference of light in the nanostructured sandwiches.