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Study on the Two-Frequency Scattering Cross Section and Pulse Broadening of the One-Dimensional Fractal Sea Surface at Millimeter Wave Frequency

By Cheol Kim
Progress In Electromagnetics Research, Vol. 37, 221-234, 2002


Based on the Kirchhoff approximation for the surfaces with small slopes, the pulse beam wave scattering fromthe onedimensional fractal sea surface with the actual spectrum is studied. The influence of the different fractal dimension, incident angle, and the center frequency on the distributions of the two-frequency scattering cross section is analyzed. The numerical result shows that there exists the largest coherence bandwidth for the two-frequency scattering cross section at the specular direction. The coherence bandwidth will increase with the decrease of the fractal dimension and with the increase of the incident angle and the center frequency, as well. It is also found that the scattering power takes a pulse shape, but with a pulse broadening for the incident power being δ function, this pulse broadening is inversely proportional to the coherence bandwidth.


 (See works that cites this article)
Cheol Kim, "Study on the Two-Frequency Scattering Cross Section and Pulse Broadening of the One-Dimensional Fractal Sea Surface at Millimeter Wave Frequency," Progress In Electromagnetics Research, Vol. 37, 221-234, 2002.


    1. Ogilvy, J. A., Theory of Wave Scattering from Random Rough Surfaces, 85, AdamHilger, Bristol, 1991.

    2. O’donnel, K. A. and E. R. Meendez, "Experimental study of scattering fromc haracterized randomsurfaces," J. Opt. Soc. Am, Vol. A4, No. 7, 1194-1205, 1987.

    3. Ishimaru, A., "Experimental and theoretical studies on enhanced backscattering fromscatterers and rough surfaces," Scattering in Volumes and Surfaces, Amsterdam, Elsevier, 1990.

    4. Nitta, H. and T. Asakura, "Method for measuring mean particle size of the bulk power using speckle patterns," Applied Optics, Vol. 30, No. 33, 4854-4858, 1991.

    5. Madsen, S. N., H. A. Zebker, and J. Martin, "Topographic mapping using radar interferometry: processing techniques," IEEE Trans. Geosci. and Remote Sensing, Vol. 31, No. 1, 246-256, 1993.

    6. Rodriguez, E. and J. Martin, "Theory and design of interferometric synthetic aperture radars," IEE Proceedings F, Vol. 139, No. 2, 147-159, 1992.

    7. Ishimaru, A., Wave Propagation and Scattering in Random Media, Chap. 17, Academic Press, New York, 1978.

    8. Ishimaru, A., L. Ailes-Sengers, P. Phu, and D. Winebrenner, "Pulse broadening and two-frequency mutual coherence function of the scattered wave fromrough surfaces," Waves in Random Media, Vol. 4, No. 2, 139-148, 1994.

    9. Ulaby, F. T., R. K. Moore, and A. K. Fung, Microwave Remote Sensing, Vol. 2, Chap. 12, Addision-Wesbey Publishing, 1982.

    10. Berizzi, F. and E. Dalle-Mese, "Fractal analysis of the signal scattered fromthe sea surface," IEEE Trans. on Antennas Propagat., Vol. 47, No. 2, 324-338, 1999.

    11. Guo, L. and Z.Wu, "Fractal model and electromagnetic scattering fromthe time-varying sea surface," IEE of Electronic Letters, Vol. 36, No. 21, 1810-1812, 2000.

    12. Thorsos, E. I., "Acoustic scattering froma ‘Pierson-Moskowitz’ sea surface," J. Acoust. Soc. Am., Vol. 88, No. 1, 335-349, 1990.

    13. Guo, L. and Z. Wu, "Electromagnetic scattering from the timevarying sea surface with considering the distribution of sea power spectrum," ACTA Electronica Sinica (in Chinese), Vol. 29, No. 9, 1287-1289, 2001.

    14. Thorsos, E. I., "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," J. Acoust. Soc. Am., Vol. 86, No. 1, 78-92, 1989.