In a multi-participant modeled virtual reality environment, avatars are modeled beings that include moveable eyes creating the impression of an apparent gaze direction. The polarizing plate provided with optical compensation layers of the present invention includes a polarizer, a first optical compensation layer, a second optical compensation layer, and a third optical compensation layer in the stated order. A resonance frequency bandwidth of the plasmon-enhanced coupler is a hybridization of at least one first resonance frequency of the first plasmon region, and at least one second resonance frequency of the second plasmon region. A radiation, detector gain is computed from a minimum ratio of null space with respect to data value space of a subsurface formation measurement related matrix and the standards matrix.