TAILIEUCHUNG - Wave Propagation 2010 Part 11

Tham khảo tài liệu 'wave propagation 2010 part 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 292 Wave Propagation where Lv cos0 qI cos0 in v cos0 vm Ym -1 2 qI cos0 - associated Legendre functions of the 2-nd kind. Fig. 4. Geometry of excitation of hemispherical reflector by electric current ring Consider one-connected area D on complex surface Y and distinguish points Y1 Y2 . Ym for this surface as solutions of Neumann boundary condition for Green function. In every point of the area D function r is univalent analytic function except points Y1 Y2 . Ym where it has simple poles. Let us place the field source on the concave hemisphere surface kr ka . Using Cauchy expression present 2 as a sum of waves and integral with contour that encloses part of the poles Y satisfactory to the condition ka Y ka - ka1 3 and describing the geometrical optic rays field. In the distance from axis of symmetry Ym0 1 the contour integral is given as -2 kã sin0 Jv 1 2 kr íi v 1 2 ổ ổ n 2 e i v 1 2 ổ-ổ v kr 3 J sin0 0 JV 1 2 kar The sign at index exponent corresponds for 0 0 and the sign - for 0 0 . A factor sin0 sin0 1 2 explains geometrical value of increasing of rays by double concave of the hemispherical reflector with comparison to cylindrical surface. First component in contour integral correspond a brighten point at the distance part of the ring with electrical current second component - brighten point at the near part of the ring. Additional phase n 2 is interlinked with passing of rays through the axis caustic. In the focal point area Ym0 1 the contour integral can be written as -4 n 2 1 2 ka 1 2 0sin0 v 1 2 2 1 20 Jv 1 2 kr i v 1 2 0 1 4 d 3 2J J1 v 1 2 0 e av . kr 3 2 sin0 0 Vv v 1 Ji 1 2 ka In accordance with a stationary phase method the amplitude and phase structure of the field in tubes of the rays near a caustic can be investigated. The distribution of the radial component of the electrical field E along axis of the hemisphere with radius of curvature a 22 5cm for uniform distribution field on the aperture 0 n 2 has two powerful interferential maximums at the wave

TÀI LIỆU LIÊN QUAN
69    272    11
TỪ KHÓA LIÊN QUAN
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.