Fundamental radar properties: hidden variables in space-time.

Area of Science:

• Physics
• Electrical Engineering
• Remote Sensing

Background:

• Pulsed radiative imaging systems, including various radar types, exhibit complex properties.
• Existing analyses often treat these properties separately, leading to fragmented understanding.
• A unified theoretical framework is needed to simplify the description of radar observations.

Purpose of the Study:

• To derive and present a unified description of the properties of pulsed radiative imaging systems.
• To demonstrate a structural equivalence among diverse radar properties through a geometric construction.
• To connect radar phenomena to fundamental concepts in relativistic field theory.

Main Methods:

• Geometric construction of space-time components in radar observations.
• Application of relativistic field theory principles.
• Analysis of conventional, synthetic aperture, and interferometric radar systems.

Main Results:

• A simple underlying structural equivalence is identified across numerous radar properties (resolution, ambiguity, speckle, layover, Doppler shifts, etc.).
• This unified structure also explains key interferometric radar properties (height resolution, decorrelation, velocity/deformation detection).
• Radar properties are shown to be projections of hidden variables from relativistic field theory.

Conclusions:

• A simple, unified description of complex radar observation phenomena is achieved.
• The geometric and relativistic formulation provides fundamental insights into radar system behavior.
• This work bridges advanced physics concepts with practical radar imaging applications.