Radar Imaging

SAR

/sar/ — Synthetic Aperture Radar
Coherent processing of returns during platform motion. Azimuth: δaz = D/2 (range-independent!). Range: δr = c/(2B). Modes: stripmap (D/2), spotlight (sub-D/2, 0.25m), ScanSAR (wide swath), TOPS (Sentinel-1). InSAR: mm-precision deformation. PolSAR: polarimetric classification. X-band (0.25m), C-band (5m), L-band (foliage pen).
Az: D/2
Spotlight: 0.25m
InSAR: mm

Understanding SAR

SAR is one of the most remarkable applications of coherent signal processing. By exploiting platform motion and phase-coherent recording, it achieves resolution that would require an impossibly large antenna. A satellite at 600 km altitude can image the ground with sub-meter resolution using a 5 m antenna. The equivalent real-aperture resolution at that range would require a 10 km antenna.

SAR images through clouds, fog, rain, and darkness, making it invaluable for surveillance, environmental monitoring, and disaster response. InSAR adds the ability to measure surface deformation with millimeter precision, enabling earthquake and volcanic monitoring from space.

SAR Equations

Range resolution:
δr = c/(2B)
B=600MHz: δr=0.25m

Azimuth resolution (stripmap):
δaz = D/2
D=5m antenna: δaz=2.5m
(Independent of range!)

Synthetic aperture length:
Lsa = Rλ/D
R=600km, λ=3cm, D=5m: Lsa=3.6km

InSAR displacement:
Δd = λΔφ/(4π)
Δφ=1 rad, λ=5.6cm: Δd=4.5mm

SAR System Comparison

SatelliteBandResolutionSwathRevisit
TerraSAR-XX (9.65G)0.25m10km11 days
Sentinel-1C (5.4G)5×20m250km6 days
ALOS-2L (1.27G)1-10m25-350km14 days
RADARSAT-2C (5.4G)1-100m18-500km24 days
TanDEM-XX (9.65G)1-12m30-100km11 days
Common Questions

Frequently Asked Questions

Resolution?

Range: δr=c/(2B). 600MHz BW: 0.25m. Pulse compression (LFM chirp). Azimuth: δaz=D/2 (stripmap). Platform motion synthesizes aperture Lsa=Rλ/D. Resolution = Rλ/(2Lsa) = D/2. 5m antenna = 2.5m at any range. Spotlight: steers to extend Lsa, achieves <D/2.

Modes?

Stripmap: fixed beam, D/2 resolution, continuous strip. Spotlight: beam steers to target, sub-D/2, small area. ScanSAR: multi-swath, wider coverage, coarser (10-100m). TOPS: progressive scan, uniform SNR (Sentinel-1 IW: 250km, 5×20m). ISAR: target moves, radar static (ship/aircraft ID).

InSAR?

Two SAR images, phase difference → displacement. Δd=λΔφ/(4π). Sentinel-1 C-band: 1-5mm precision/interferogram. PS-InSAR/SBAS: sub-mm with time series. Applications: earthquakes, volcanoes, landslides, glaciers, subsidence, infrastructure monitoring. TanDEM-X: simultaneous stereo for topographic DEM (2m vertical).

Radar Imaging

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