Radar Range Calculator

Formula

The formula to calculate the Radar Range is:

\[ R = \sqrt{\frac{P_t \cdot G_t \cdot G_r \cdot \lambda^2 \cdot \sigma}{4 \cdot \pi^3 \cdot R^4 \cdot L}} \]

Where:

\(R\) is the radar range in meters
\(P_t\) is the transmitted power in Watts
\(G_t\) is the transmitting antenna gain
\(G_r\) is the receiving antenna gain
\(\lambda\) is the wavelength of the radar signal in meters
\(\sigma\) is the radar cross-section of the target in square meters
\(R\) is the distance between the radar and the target in meters
\(L\) is the system loss factor

What is Radar Range?

A radar range is a term used in radar technology to denote the maximum distance at which a radar system can reliably detect and track a target. This range is determined by several factors including the power of the transmitted signal, the size and shape of the target, the sensitivity of the radar receiver, and the characteristics of the environment, such as weather conditions and the presence of other objects that might cause interference.

Example Calculation 1

Let's assume the following values:

Transmitted Power (P_t) = 1000 Watts
Transmitting Antenna Gain (G_t) = 30
Receiving Antenna Gain (G_r) = 30
Wavelength (λ) = 0.03 meters
Radar Cross-Section (σ) = 1 square meter
Distance to Target (R) = 1000 meters
System Loss Factor (L) = 1

Using the formula:

\[ R = \sqrt{\frac{1000 \cdot 30 \cdot 30 \cdot 0.03^2 \cdot 1}{4 \cdot \pi^3 \cdot 1000^4 \cdot 1}} = 2.56*10^-6 \text{ meters} \]

The Radar Range is 2.56*10^-6 meters.