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- W2913644913 abstract "This paper applies the geometric dynamics tools to describe optimal shape of structures used to couple a transmitter or receiver to a medium in which waves can propagate. Section 1 recalls the laws of regular reflection and the theory of spherical transmitter. Section 2 analizes the optic geometric dynamics using a reflected vector field and an adapted Fermat principle. Section 3 studies the transmitter of revolution and the corresponding holonomic optimal receiver. Section 4 analizes a nonholonomic Ox-symmetric transmitter (special collection of wires) and a holonomic optimal receiver. Section 5 evidentiates a Tzitzeica transmitter with a nonholonomic optimal receiver (special collection of wires). Section 6 shows that the canonical nonholonomic transmitter admits a holonomic optimal receiver. Section 7 underline possible numerical simulations for practical realization of transmitters or receivers. Section 8 points out that there exist: (i) holonomic or nonholonomic (special collection of wires) mirrors accepting only holonomic optimal receivers; (ii) holonomic or nonholonomic (collection of wires) mirrors accepting only nonholonomic (special collection of wires) optimal receivers." @default.
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- W2913644913 date "2008-05-27" @default.
- W2913644913 modified "2023-10-15" @default.
- W2913644913 title "Nonholonomic antenna" @default.
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