Theory of resonance stratified-inhomogeneous electromagnetic systems with total internal reflection

Development of an interference filter model based on a total-internal-reflection resonator

“…The interference filter model constructed shows that the closure of the optical paths of interfering beams using total internal reflection surfaces inside the optical resonator reduces the edge effect, whose existence is confirmed in [9][10][11], and brings the properties of the resonator to a Fabry-Perot interferometer model with two plane parallel mirrors having extremely high reflectances and small losses; the model has made it possible to derive the basic relations necessary for practical calculations.…”

“…However, because of the edge effect [9][10][11], which, in our case, involves the exit of the wave from the resonator after a finite number of travels along the path, due to the imperfect geometric shape of the resonator and diffraction effects of the light wave in reflections and refractions on the edges, the wave decays, the number of effective reflections of the wave from the mirror layers is limited. For the resonator, the effective number of reflections N eff can be assumed to be the number of closed paths traveled by the light wave before the shift of the place of its incidence on the edge of the cube.…”

“…It has been suggested that the absence of losses in mirror interlayers can provide high transparency of filters and a narrow spectral bandwidth, but such devices have not been developed. In [9][10][11], the low transparency of total-reflection optical filters is explained by the role of the edge resonance diffraction process that takes place when the light is coupled at an oblique angle into a layered structure limited size [10]. Characteristics of total reflection terahertz filters calculated using the approach presented in [8] are given in [12].…”

Controlling the Electromagnetic Field Confinement with Metamaterials

“…To solve these difficulties, evanescent wave coupling can be considered, since the field intensity of evanescent modes decreases exponentially with distance and hence these modes do not radiate. Some examples of applications can be found, among others, in the total internal reflection fluorescence microscope3456, optical fiber coupling7, prism coupling789, excitation of surface plasmon polaritons1011, wireless energy transfer12, etc. Some of these applications demand highly confined fields (for example in microscopy), while in other applications a significant confinement distance is desired (e.g., in wireless energy transfer).…”