Pencil Beam Explorer

Professional interactive visualization using a patch/HFSS-like radiation model with the uploaded reference color palette. Rotate the 3D beam, steer it with sliders, and adjust array parameters.

Live configuration

Real-time summary of the current beam setup

interactive

Steering θ

0°

Steering φ

0°

Array size

12 × 12

Spacing

0.50 λ

Beam steering

θ / φ control

Set the steering direction of the main lobe.

Polar steering angle θ₀ (from +z)

0°

Azimuth steering angle φ₀

0°

Array parameters

aperture

Adjust array size, inter-element spacing, and dynamic range floor.

d / λ

dB floor

Front element q

Back radiation dB

Model summary

UPA

Pattern(θ,φ)=AF_x · AF_y · E_patch(θ)
E_front(θ)=max(cosθ,0)^q
E_back(θ)=10^B/20max(-cosθ,0)^q

This version uses Array Factor × Patch Element Pattern. The lower hemisphere is not mirrored; it is attenuated as weak back radiation, closer to an HFSS patch-array pattern.