Electromagnetic Cloaking Simulation

Cloaking Parameters

Cloak Inner Radius (λ) 1.0

Cloak Outer Radius (λ) 3.0

Wave Frequency (THz) 1.00

Incident Angle (degrees) 0°

Cloak Efficiency: 95%

Grid Resolution 100

Cloaking Field Visualization

Scattering Cross-Section

0.02λ²

Phase Distortion

< 5°

Bandwidth

0.8-1.2 THz

Field Suppression

-40 dB

Simulation Results

Without Cloak

Strong scattering pattern
Object clearly visible

With Cloak

Minimal scattering
Object invisible to waves

Performance Metrics

Parameter	Target	Achieved	Status
Cloaking Efficiency	> 90%	95%	✅
Scattering Reduction	< -30 dB	-40 dB	✅
Phase Error	< 10°	5°	✅
Bandwidth	20%	40%	✅
Angular Range	±30°	±45°	✅

Cloak Design Specifications

                        Radial Permittivity:

                        εᵣ(r) = (r - a)/r × (b/(b-a))²

                        Tangential Permittivity:

                        εθ(r) = r/(r - a)

                        Axial Permittivity:

                        εz(r) = (b/(b-a))² × (r-a)/r
                    
                        Radial Permeability:

                        μᵣ(r) = (r - a)/r × (b/(b-a))²

                        Tangential Permeability:

                        μθ(r) = r/(r - a)

                        Axial Permeability:

                        μz(r) = (b/(b-a))² × (r-a)/r
                    
                    where: a = inner radius = 1.0λ, b = outer radius = 3.0λ