| Autor: |
Domnina, M. S., Kryukovsky, A. S., Rastyagaev, D. V. |
| Předmět: |
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| Zdroj: |
Journal of Communications Technology & Electronics; 2023 Suppl 3, Vol. 68, pS338-S348, 11p |
| Abstrakt: |
Methods for calculating the special function of wave catastrophe B4 and its first derivatives, which describe edge focusing of the caustic-tip type with an edge, are studied. The caustic and ray structures of this singularity are constructed. The characteristic amplitude–phase sections of the special function and its derivatives are calculated. The method of rotation of the integration contour and the method of ordinary differential equations are considered and compared both in terms of accuracy and speed. It is shown that the method of ordinary differential equations works stably in the region of negative values of the first two parameters of the special function, and the method of rotation of the integration contour exhibits stability in the region of positive values. Thus, the approaches are complementary. However, the calculation time for the method of ordinary differential equations is an order of magnitude less than the time for the method of rotation of the integration contour. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
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