Program Simulation for Visible Light Research: Transmitter and Receiver Power Distribution Patterns

In visible light communication system research, simulating power distribution patterns at both transmitter and receiver ends constitutes a crucial step. This helps researchers visually understand energy variations of optical signals during propagation, thereby optimizing system design.

Transmitter Power Distribution: The transmitter typically consists of LED arrays, whose power distribution depends on the spatial characteristics of the light source. Common light source models include the Lambertian radiation model, where light intensity varies with emission angle. During simulation, factors such as radiation pattern, half-power angle, and array configuration must be considered to generate corresponding power distribution maps. Code implementation typically involves defining LED radiation patterns using mathematical functions like I(θ) = I0cos^m(θ), where m represents the Lambertian order derived from the half-power angle.

Receiver Power Distribution: The receiver generally comprises photodetectors (such as photodiodes), where received power is influenced by transmitter intensity, propagation distance, environmental interference, and receiver field of view. Simulations must calculate optical signal attenuation along propagation paths while incorporating potential noise or interference, ultimately generating receiver-side power distribution maps. Algorithm implementation typically includes free-space path loss calculations using the inverse-square law and SNR modeling with additive white Gaussian noise.

Simulation Methodology: Model light source characteristics, including radiation angle and initial power using vector-based coordinate systems. Calculate optical signal attenuation in free space, considering path loss and environmental scattering through ray-tracing algorithms. Analyze receivable optical power distribution by incorporating receiver sensitivity and field-of-view parameters using geometric detection models. Visualize power distribution patterns, typically employing 2D or 3D heatmaps to display signal strength at different locations using libraries like Matplotlib or Plotly.

Such simulations enable rapid evaluation of visible light communication system coverage and signal quality, providing reference basis for practical deployment scenarios.