Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2026. Т. 23. № 3. С. 342-350
Analysis of the modulation transfer function of fragmented ice based on satellite synthetic aperture radar data
O.A. Danilicheva 1 , S.A. Ermakov 1, 2 1 Institute of Applied Physics RAS, Nizhny Novgorod, Russia
2 Volga State University of Water Transport, Nizhny Novgorod, Russia
Accepted: 12.05.2026
DOI: 10.21046/2070-7401-2026-23-3-342-350
The work is devoted to analysis of the modulation transfer function (MTF) of fragmented ice using satellite radar data. The relevance of the study is driven by the need to improve climate models of the Arctic, in which wave–ice interaction is insufficiently accounted for, particularly in the marginal ice zone. A method for estimating the MTF of fragmented ice is proposed, using wave parameters from adjacent open water areas, which eliminates the need for additional model data. Using a Sentinel-1 radar image as an example, the feasibility of estimating the MTF of fragmented ice is demonstrated. It is shown that the total MTF of fragmented ice obtained from satellite data exceeds model estimates by approximately 60%. This discrepancy with model estimates is presumably due to the hydrodynamic interaction between long waves and fragmented ice, which is not taken into account when calculating the MTF using the model. Hydrodynamic interaction can lead to a redistribution of ice concentration in the field of orbital velocities of long waves, as well as to the formation of ridges, which will contribute an additional component to the total MTF of fragmented ice. The results confirm the need for further research to clarify the mechanisms of radar signal modulation by fragmented ice.
Keywords: SAR, radar images, modulation transfer function, fragmented ice
Full textReferences:
- Alpers W. R., Ross D. B., Rufenach C. L., On the detectability of ocean surface waves by real and synthetic aperture radar, J. Geophysical Research: Oceans, 1981, V. 86, No. C7, pp. 6481–6498, DOI: 10.1029/JC086iC07p06481.
- Ardhuin F., Collard F., Chapron B. et al., Estimates of ocean wave heights and attenuation in sea ice using the SAR wave mode on Sentinel-1A, Geophysical Research Letters, 2015, V. 42, pp. 2317–2325, DOI: 10.1002/2014GL062940.
- Ardhuin F., Stopa J., Chapron B. et al., Measuring ocean waves in sea ice using SAR imagery: A quasi-deterministic approach evaluated with Sentinel-1 and in situ data, Remote Sensing of Environment, 2017, V. 189, pp. 211–222, DOI: 10.1016/j.rse.2016.11.024.
- Dawe B., Parashar S., SAR Imaging of waves in ice, OCEANS’78, IEEE, 1978, pp. 379–384, DOI: 10.1109/OCEANS.1978.1151122.
- De Carolis G., SAR observations of waves in ice, Proc. SPIE. SAR Image Analysis, Modeling, and Techniques V, 2003, V. 4883, pp. 141–151, DOI: 10.1117/12.463062.
- Han H., Hong S. H., Kim H. et al., A study of the feasibility of using KOMPSAT-5 SAR data to map sea ice in the Chukchi Sea in late summer, Remote Sensing Letters, 2017, V. 8, No. 5, pp. 468–477, DOI: 10.1080/2150704X.2017.1285501.
- Hasselmann K., Hasselmann S., On the nonlinear mapping of an ocean wave spectrum into a synthetic aperture radar image spectrum and its inversion, J. Geophysical Research: Oceans, 1991, V. 96, No. C6, pp. 10713–10729, DOI: 10.1029/91JC00302.
- Huang B., Li X., Study on retrievals of ocean wave spectrum by spaceborne SAR in ice-covered areas, Remote Sensing, 2022, V. 14, No. 23, Article 6086, DOI: 10.3390/rs14236086.
- Jeffries M. O., Overland J. E., Perovich D. K., The Arctic shifts to a new normal, Physics Today, 2013, V. 66, pp. 35–40, DOI: 10.1063/PT.3.2147.
- Kohout A. L., Williams M. J. M., Dean S. M., Meylan M. H., Storm-induced sea-ice breakup and the implications for ice extent, Nature, 2014, V. 509, pp. 604–607, DOI: 10.1038/nature13262.
- Kwok R., Arctic sea ice thickness, volume, and multiyear ice coverage: losses and coupled variability (1958–2018), Environmental Research Letters, 2018, V. 13, No. 10, Article 105005, DOI: 10.1088/1748-9326/aae3ec.
- Lyden J., Schuchman R., Zago C. et al., SAR imaging of ocean waves in the Marginal Ice Zone, Intern. Geoscience and Remote Sensing Symp. (IGARSS), 1988, V. 3, pp. 1435–1437, DOI: 10.1109/IGARSS.1988.569488.
- Lyzenga D. R., Shuchman R. A., Lyden J. D., Rufenach C. L., SAR imaging of waves in water and ice: Evidence for velocity bunching, J. Geophysical Research: Oceans, 1985, V. 90, No. C1, pp. 1031–1036, DOI: 10.1029/JC090iC01p01031.
- McBean G., Alekseev G., Chen D., Førland E., Fyfe J., Groisman P. Y., King R., Melling H., Vose R., Whitfield P. H., Arctic climate: past and present, In: Arctic climate impact assessment: Scientific report, Cambridge: Cambridge University Press, 2005, pp. 22–60.
- Plant W. J., The modulation transfer function: Concept and applications, In: Radar Scattering from Modulated Wind Waves, G. J. Komen, W. A. Oost (eds.), Dordrecht: Springer, 1989, pp. 155–172.
- Schulz‐Stellenfleth J., Lehner S., Spaceborne synthetic aperture radar observations of ocean waves traveling into sea ice, J. Geophysical Research: Oceans, 2002, V. 107, No. C8, pp. 20-1–20-19, DOI: 10.1029/2001JC000837.
- The WAVEWATCH III® Development Group (WW3DG): User manual and system documentation of WAVEWATCH III® version 6.07, Technical Note 333, College Park, MD: NOAA, NWS, NCEP, MMAB, 2019, 465 p.
- Thomson J., Rogers W. E., Swell and sea in the emerging Arctic Ocean, Geophysical Research Letters, 2014, V. 41, pp. 3136–3140, DOI: 10.1002/2014GL059983.
- Vachon P. W., Olsen R. B., Krogstad H. E., Liu A. K., Airborne synthetic aperture radar observations and simulations for waves in ice, J. Geophysical Research: Oceans, 1993, V. 98, No. C9, pp. 16411–16425, DOI: 10.1029/93JC00914.
- Williams T. D., Bennetts L. G., Squire V. A. et al., Wave–ice interactions in the marginal ice zone. Part 1: Theoretical foundations, Ocean Modelling, 2013, V. 71, pp. 81–91, DOI: 10.1016/j.ocemod.2013.05.010.
- Wright J. W., Plant W. J., Keller W. C., Jones W. L., Ocean wave‐radar modulation transfer functions from the West Coast Experiment, J. Geophysical Research: Oceans, 1980, V. 85, No. C9, pp. 4957–4966, DOI: 10.1029/JC085iC09p04957.
- Zakhvatkina N. Yu., Alexandrov V. Yu., Johannessen O. M. et al., Classification of sea ice types in ENVISAT synthetic aperture radar images, IEEE Trans. Geoscience and Remote Sensing, 2012, V. 51, No. 5, pp. 2587–2600, DOI: 10.1109/TGRS.2012.2212445.