Explore phased array beam steering directly in the browser. This interactive RF engineering tool visualizes antenna array geometry, element spacing, steering direction, 3D radiation lobes, simplified mutual coupling and prescribed-current Huygens-style/Fraunhofer behavior.
The simulator is designed for learning and experimentation: instead of relying only on fixed 2D antenna pattern pictures, it uses vector-based field calculations to show how antenna elements combine in 3D space.
Richtung: θ=75°, φ=10°
Betrag des Gesamtfeldes: 1.0
Re(A) Huygens model: 0.0
$$A(\vec{R}) = \sum_{n=1}^N \frac{e^{ik(\vec{r}_n\cdot\hat{s})}}{N_P} \sum_{p=1}^{N_P} F_p(\hat{r}_{n,p})\,\frac{e^{ik|\vec{R}-\vec{r}_{n,p}|}}{|\vec{R}-\vec{r}_{n,p}|}$$
$$A_{\text{Fraunhofer}}(\vec{R}) = \frac{e^{ikR}}{R} F(\hat{r}) \sum_{n=1}^N e^{-ik(\hat{r}\cdot\vec{r}_n)} e^{ik(\vec{r}_n\cdot\hat{s})}$$
$$\phi_n(\text{steer}) = k(\vec{r}_n \cdot \hat{s})$$
$$A_n(\hat{d}) = A_n \cdot e^{-i k (\hat{d} \cdot \vec{r}_n) + i k (\vec{r}_n \cdot \hat{s})}$$
$$AF(\hat{d}) = \sum_{n=1}^{N} a_n e^{-i k (\hat{d} \cdot \vec{r}_n)}$$
| Symbol | Definition |
|---|---|
| $A$ | |
| $\vec{r}_n$ | |
| $\hat{d}$ | |
| $\hat{s}$ | |
| $k = \frac{2\pi}{\lambda}$ | |
| $\phi_n$ | |
| $\phi_n(\text{steer})$ | |
| $F_p(\hat{r}_{\text{local},p})$ | |
| $F(\hat{r})$ | |
| $A_n$ | |
| $N$ | |
| $N_P$ | |
| $\lambda$ | |
| $\vec{r}_{n,p}$ |