Vladimir Khaustov

Geometric Wave Engineering for Passive Multisource Electromagnetic Direction Finding in a Second-Order Pseudohyperboloidal Cavity

Geometric Wave Engineering (GWE) is introduced here as a geometry-first research framework for wave systems: an analytically designed boundary is used not only to confine, guide, or scatter a field, but to perform a reproducible physical transformation of its spatial amplitude an...

Geometry-Coded Multi-Source Acoustic Direction Finding with a Pseudohyperboloidal Receiver

Localizing several simultaneous sound sources becomes difficult when their directions are close, because the measured acoustic fields become strongly correlated before the inverse problem is solved. Conventional systems address this mainly through larger apertures, more sensors,...

Open Pseudohyperboloidal Resonator with an Annular Output Aperture: A Candidate New Geometry-Defined Class

A resonator is usually specified by the geometry of its reflecting elements and a separate choice of the opening through which radiation is released. We introduce an open pseudohyperboloidal (PHB) resonator: a pair of facing reflecting surfaces formed by revolving the interior br...

Open Pseudohyperboloidal Resonator with an Annular Output Aperture: A Candidate New Geometry-Defined Class

A resonator is usually specified by the geometry of its reflecting elements and a separate choice of the opening through which radiation is released. We introduce an open pseudohyperboloidal (PHB) resonator: a pair of facing reflecting surfaces formed by revolving the interior br...

Law of Ideal Geometrical Ray Dynamics in Second-Order Pseudoparaboloids. Exact Focal-Return Structure, Periodic Ray Families, and Topological Splitting of the Horizontal and Vertical Types

Geometric Wave Engineering (GWE) considers boundary geometry not merely as a container for propagation, but as a passive geometric operator capable of organizing ray trajectories before any active signal processing is applied. Within this programme, the present work introduces th...

Two-Dimensional Numerical Proof of Principle for Geometry-Encoded Acoustic Direction Finding with a Second-Order Pseudohyperboloidal-Profile (PHB-2) Boundary

Conventional sound-source localization derives direction of arrival from inter-sensor delay, phase, or level differences, leaving nearly all directional discrimination to the sensor array and to post-sampling processing. This work realizes the complementary principle: the passive...

Passive Geometric Direction-to-State Encoding in Second-Order Pseudohyperboloidal Cavities: Cross-Physics Computational Evidence and Scientific Priority Disclosure within Geometric Wave Engineering

A passive geometric direction-to-state transduction architecture is formulated and evaluated computationally for second-order pseudohyperboloidal cavities (PHB-2) using independent ray, acoustic-FDTD, and Maxwell-FDTD models. The central proposition is not universal passive focus...

Passive Geometric Direction-to-State Encoding in Second-Order Pseudohyperboloidal Cavities: Cross-Physics Computational Evidence and Scientific Priority Disclosure within Geometric Wave Engineering

A passive geometric direction-to-state transduction architecture is formulated and evaluated computationally for second-order pseudohyperboloidal cavities (PHB-2) using independent ray, acoustic-FDTD, and Maxwell-FDTD models. The central proposition is not universal passive focus...