Diffraction by plane sectors and polygons

Pure and Applied Geophysics

Volumn 148, Issue 1-2, 1996, Pages 137-153

  Hanyga, Andrzej ^a  

^a UNIVERSITY OF BERGEN   (Norway)

Author keywords

Asymptotics; Edge diffraction; Rays

Indexed keywords

EDGE DIFFRACTION; RAY THEORY; TIME DOMAIN THEORY;

EID: 0030436606     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00882058     Document Type: Article

References (21)

1. ABRAMOWITZ, M., and STEGUN, I., Mathematical Tables (Dover, New York 1970).
2. ACHENBACH, J. D., GAUTESEN, A. K., and MCMAKEN, H . Ray Methods for Waves in Elastic Solids (Pitman, London 1982).
3. AIZENBERG, A. M., and KLEM-MUSATOV, K. D. (1980), Calculation of Wave Fields by the Method of Superposition of Edge Waves, Geologiya i Geofizika 21, 92-108.
4. BAKKER, P. M. (1990), Theory of Edge Diffraction in Terms of Dynamical Ray Tracing, Geophys. J. Int. 102, 177-184.
5. BUCHAL, R. N., and KELLER, J. B. (1960), Boundary Layer Problems in Diffraction Theory, Comm. Pure Appl. Math. 13, 85-114.
6. ČERVENÝ, V., and RAVINDRA, R., Theory of Head Waves (Toronto University Press, Toronto 1970)
7. CONNOR, J. N. L., and CURTIS, P. R. (1982), A Method for the Numerical Evaluation of the Oscillatory Integrals Associated with Cuspoid Catastrophes: Application to Pearcey's Integral and its Derivatives, J. Phys. A: Math. Gen. 15, 1179-1190.
8. GEL'FAND, I. M., and SHILOV, G. E., Generalized Functions, Volume 1 (Academic Press, New York 1964).
9. HANYGA, A. (1989), Boundary Effects in Asymptotic Diffraction Theory, Parts I - III, Seismo-series Reports, Inst. Solid Earth Physics, Bergen, 35-37.
10. HANYGA, A., Numerical applications of asymptotic diffraction theory. In Mathematical and Numerical Aspects of Wave Propagation (Kleinman, R. et al., eds.) (SIAM, Philadelphia 1993) pp. 246-258
11. HANYGA, A., Asymptotic diffraction theory applied 10 edge-vertex diffraction. In Proceedings of the 7th Conference on Waves and Stability in Continuous Media (Rionero, S., and Ruggeri, T., eds.) (World Scientific Publishing, Singapore 1994).
12. HANYGA, A. (1995). Asymptotic Edge-and-vertex Diffraction Theory, Geophys. J. Int. 123, 277-.
13. KELLER, J. B. (1958), A geometrical theory of diffraction In Calculus of Variations and its Applications, Proc. Symp. Appl. Math., vol. 8 (American Mathematical Society 1958)
14. KELLER, J. B. (1966), Geometrical Theory of Diffraction, J. Opt. Soc. Am 52, 116-130.
15. KLEM-MUSATOV, K. D., Theory of Seismic Diffractions (Society of Exploration Geophysicists, Tulsa 1994).
16. KLEM-MUSATOV, K. D., and AIZENBERG, A. M. (1984), Theory of Edge Waves, Geophys. J. R. Astr. Soc. 79, 35-50.
17. LEWIS, R. M., and BOERSMA, J. (1969), Uniform Asymptotic Theory of Edge Diffraction, J. Math. Phys. 10, 2291-2305.
18. LYALINOV, M. A. (1993), Diffraction by a Wedge with Anisotropic Face Impedances, Annals of Telecomunication.
19. MALYUZHINETS, G. D. (1958a), Development in our Concept of Diffraction Phenomena, Sov Phys. Uspekhi 69, 749-758.
20. MALYUZHINETS, G. D. (1958b), Excitation, Reflection and Emission of Surface Waves from a Wedge with Given Face Impedances, Sov. Phys. Dokl. 3, 1099-1102.
21. ZHANG, Q., JULL, E. V., MELLEMA, G R., and YEDLIN, M. J. (1993), Pulse Diffraction by a Curved Rigid Plane, Wave Motion 17, 173-184.