The problem of camouflaging via mirror reflections

Area of Science:

• Geometric Optics
• Mathematical Physics

Background:

• Perfectly invisible bodies with mirror surfaces are physically impossible.
• Research is needed to find objects that approximate invisibility.

Purpose of the Study:

• Introduce a quantitative measure for object "near-invisibility."
• Derive a theoretical lower bound for this measure.

Main Methods:

• Defined a "visibility index" quantifying light ray deviation.
• Calculated a lower estimate for the visibility index.

Main Results:

• The visibility index estimate depends on the body's volume.
• The estimate is also a function of the minimal radius of a containing ball.

Conclusions:

• The derived estimate provides a starting point for understanding near-invisible bodies.
• Further research is warranted to refine these findings.