Kopyltsov et al. (2016): Distributed Cluster Computing Proves Fractal Self-Similarity in Converted EMF Above Aires Resonator
Peer-reviewed publication by a multi-institution team (LETI, AIRES Foundation, ITMO). Mathematical model and high-performance parallel cluster computing simulations demonstrate that EM radiation converted by the Aires resonator differs significantly from incident radiation — exhibiting fractal self-similarity and concentrated power above the plate’s central region.
Authors and Institutions
Publication Details
Published as a peer-reviewed paper in: Regional Informatics and Information Security. Collected Papers. Issue 2. Saint Petersburg Society for Informatics, Computer Engineering, Communications and Control Systems — Saint Petersburg, 2016, pp. 383–387. UDC 57.054.
Background: The Problem of EMR–Resonator Interaction
The AIRES resonator surface consists of curvilinear slits (circular grooves) arranged in a self-similar, scale-invariant pattern based on affine transformations — a self-affine structure. When electromagnetic radiation interacts with this surface, standard physics predicts:
- Reflection from the surface (specular, proportional to incidence angle)
- Diffraction at the narrow slits (diffraction pattern per Huygens–Fresnel principle)
However, the observed behavior is not well-described by these effects alone. Two additional mechanisms are present:
- Charge shift (semiconductor effect): Electric field interacting with the silicon substrate causes charge carrier concentration to become significantly higher in the slits than in surrounding areas. This creates local potential wells in the slit geometry.
- Potential-driven emission: When the potential difference between neighboring slits reaches a critical value φ_cr, carriers in the slits act as a new source of EM radiation — with frequency determined by electron oscillation in the charged grating structure rather than by the incident wave.
Mathematical Model
The model incorporates the conservation laws for electrons and holes in the semiconductor substrate:
∂n_p/∂t = −μ_p × div(n_p × E) + D_p × ∇²n_p − β_p × n_e × n_p [holes]
The electron oscillation frequency of the evenly charged plate:
The total electric field above the resonator surface is the vector sum of three components:
Each component is computed separately at each point in the 3D receiver space, then summed. This formulation captures the multi-mechanism nature of the resonator’s response that standard single-mechanism EMF simulation misses.
Distributed Computing Approach
Computing the complete field distribution for a self-affine resonator with 83,521+ ring resonators (C16S topology) across a 3D receiver space is computationally prohibitive on a single machine. This work used a cluster of highly productive parallel computations — distributed computing across multiple nodes — to calculate the field at each grid point simultaneously. This approach made feasible what the single-machine sequential algorithm required 120 machine-hours for, enabling systematic parameter sweeps.
Key Results
Conclusion
This 2016 peer-reviewed paper provided the first published mathematical-computational confirmation that Aires resonator-generated EM fields have fractal self-similarity and concentrated central power — properties qualitatively distinct from ordinary diffraction or reflection. The multi-institution authorship (LETI + ITMO + AIRES Foundation) and peer review process distinguish this from internal company reports, making it an important independent confirmation of the resonator’s operating principles.
Citation: Kopyltsov A.V., Korshunov K.A., Lukyanov G.N., Serov I.N. (2016). Distributed Computing of Interaction of Electromagnetic Radiation with a Structured Surface. In Regional Informatics and Information Security: Collected Papers, Issue 2 (pp. 383–387). Saint Petersburg.