Radar Range Calculator
Estimate maximum monostatic radar detection range in free space including system losses and flexible sensitivity units.
6
Inputs
Live
Math
3
Related
Enter parameters and click Calculate to view results
Formula & Theory
R_max = [ (P_t · G² · λ² · σ) / ((4π)³ · S_min · L) ]^(1/4)This formula is used to calculate antenna parameters for radar range calculator.
Overview
Radar Range helps you calculate design values for a radar engineering project from Peak Transmit Power (P_t), Antenna Gain (G), Operating Frequency (f), Target RCS (σ), Min Detectable Signal (S_min), Total System Losses (L). Estimate maximum monostatic radar detection range in free space including system losses and flexible sensitivity units. Use the result to make an informed first design decision before choosing hardware, setting dimensions, or evaluating the RF system in its final environment.
Input Guide
Enter Peak Transmit Power (P_t), Antenna Gain (G), Operating Frequency (f), Target RCS (σ), Min Detectable Signal (S_min), Total System Losses (L) exactly in the units shown by this radar range. Check the operating band, unit prefix, and decimal position before calculating; these are the inputs used by the formula.
- Peak Transmit Power (P_t) — use W.
- Antenna Gain (G) — use dBi.
- Operating Frequency (f) — use GHz.
- Target RCS (σ) — use m².
- Min Detectable Signal (S_min) — use dBm.
- Total System Losses (L) — use dB.
Output Guide
The results describe the calculated radar range values for the inputs you entered. Check each value against the available space, selected components, feed system, and operating conditions before making a final design decision.
How This Calculator Works
The Radar Range uses R_max = [ (P_t · G² · λ² · σ) / ((4π)³ · S_min · L) ]^(1/4). Supply Peak Transmit Power (P_t) (W), Antenna Gain (G) (dBi), Operating Frequency (f) (GHz), Target RCS (σ) (m²), Min Detectable Signal (S_min) (dBm), Total System Losses (L) (dB) in the displayed units, then use the calculated values as the first engineering target for this radar engineering design or analysis.
Design Notes
This radar engineering calculation is based on R_max = [ (P_t · G² · λ² · σ) / ((4π)³ · S_min · L) ]^(1/4). Real-world accuracy depends on factors such as material properties, losses, mounting, nearby conductors, ground interaction, feed-line effects, and construction tolerance. Confirm the final system with measurement or simulation.
Build and Tuning Notes
Apply the radar range result as an initial target, then validate it in the intended installation. Keep the physical layout and feed arrangement consistent while testing, change one parameter at a time, and record the measured outcome before making another adjustment.
Frequently Asked Questions
What does the Radar Range calculate?
Estimate maximum monostatic radar detection range in free space including system losses and flexible sensitivity units. The calculation provides an initial design value based on Peak Transmit Power (P_t) (W), Antenna Gain (G) (dBi), Operating Frequency (f) (GHz), Target RCS (σ) (m²), Min Detectable Signal (S_min) (dBm), Total System Losses (L) (dB).
Which inputs are needed for the Radar Range?
Enter Peak Transmit Power (P_t) (W), Antenna Gain (G) (dBi), Operating Frequency (f) (GHz), Target RCS (σ) (m²), Min Detectable Signal (S_min) (dBm), Total System Losses (L) (dB) using the displayed units. Each value directly affects the calculated result, so confirm the unit and operating conditions before running the calculation.
How accurate is this radar range?
It follows R_max = [ (P_t · G² · λ² · σ) / ((4π)³ · S_min · L) ]^(1/4). It is accurate for the formula assumptions, but installed performance can change because of materials, loss, environment, mounting, nearby objects, and measurement uncertainty.
What should I do after using the Radar Range?
Compare the result with the practical constraints of your radar engineering system, then validate the completed design with appropriate measurement equipment or simulation.
Alex Warren
B.Sc. in Electrical & Electronic Engineering (EEE)
Alex specialises in antenna design and wave propagation. His expertise helps ensure these calculators present practical RF concepts, useful design estimates, and clear engineering guidance for students, HAM operators, and wireless professionals.