High-frequency asymptotic acceleration of the fast multipole method

Radio Science

Volumn 31, Issue 5, 1996, Pages 1199-1206

  Burkholder, Robert J ^a   Kwon, Do Hoon ^a  

^a Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRICAL OPTICS; WAVE PROPAGATION; COMPUTATIONAL COMPLEXITY; ELECTROMAGNETIC WAVE DIFFRACTION; MATHEMATICAL OPERATORS; SIGNAL FILTERING AND PREDICTION;

ASYMPTOTIC EVALUATION; FAST MULTIPOLE METHOD; HIGH FREQUENCY HF; HIGH-FREQUENCY ASYMPTOTICS; PLANE-WAVE COMPONENTS; TRANSLATION OPERATOR; UNIFORM THEORY OF DIFFRACTION; WINDOWING FUNCTION;

ELASTIC WAVES; ELECTROMAGNETIC WAVES;

FAST MULTIPOLE METHOD; PLANE WAVE TRANSLATION OPERATOR; SOURCE TO RECEIVER DIRECTIVITY;

EID: 0030244545     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/96RS01785     Document Type: Article

References (13)

1. Bindiganavale, S.S., and J.L. Volakis, Guidelines for using the fast multipole method to calculate the RCS of large objects, Microwave Opt. Tech. Lett., 11(4), 190-194, 1996.
2. Clemmow, P.C., Some extensions to the method of integration by steepest descents, Q. J. Mech. Appl. Math., 3, 241-256, 1950.
3. Coifman, R., V. Rokhlin, and S. Wandzura, The fast multipole Method for the Wave Equation: A Pedestrian Prescription, IEEE Antennas Propag. Mag., 35(3), 7-12, 1993.
4. Coifman, R., V. Rokhlin, and S. Wandzura, Faster single-stage multipole method for the wave equation, Paper presented at the 10th Annual Review of Progress in Applied Computstional Electromagnetics, 1, 19-24, Appl. Comput. Electromagn. Soc., Monterey, Calif., March 1994.
5. Engheta, N., W.D. Murphy, V. Rokhlin, and M.S. Vassiliou, The fast multipole method (FMM) for electromagnetic scattering problems, IEEE Trans. Antennas Propag., 40(6), 634-641, 1992.
6. Greengard, L.F., The Rapid Evaluation of Potential Fields in Particle Systems, MIT Press, Cambridge, Mass., 1988.
7. Harrington, R.F., Time-Harmonic Electromagnetic Fields chap. 5, 231-232, McGraw-Hill, New York, 1961.
8. Kouyoumjian, R.G., and P.H. Pathak, A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, IEEE Trans. Antennas Prop., 62(11), 1418-1461, 1974.
9. Lu, C.C., and W.C. Chew, Fast algorithm for solving hybrid integral equations, IEE Proc. Part H: Microwaves Opt. Antennas, 140(6), 455-460, 1993.
10. Lu, C.C., and W.C. Chew, Fast far-field approximation for calculating the RCS of large objects, Microwave Opt. Tech. Lett., 8(5), 238-241, 1995.
11. Rokhlin, V., Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys., 86(2), 414-439, 1990.
12. Song, J.M., and W.C. Chew, Fast multipole method solution of three dimensional integral equation, IEEE Anttennas Propag. Soc. Int. Symp. Dig., 3, 1528-1531, June, 1995.
13. Wagner, R.W., and W.C. Chew, A ray-propagation fast multipole algorithm, Microwave Opt. Tech. Lett., 7(10), 435-438, 1994.