A new family of exact solutions to the wave equation representing relatively undistorted progressive waves is constructed using separation of variables in the elliptic cylindrical coordinates and one of the Bateman tr...A new family of exact solutions to the wave equation representing relatively undistorted progressive waves is constructed using separation of variables in the elliptic cylindrical coordinates and one of the Bateman transforms. The general form of this Bateman transform in an orthogonal eurvilinear cylindrical coordinate system is discussed and a specific problem of physical feasibility of the obtained solutions, connected with their dependence on the cyclic coordinate, is addressed. The limiting case of zero eccentricity, in which the elliptic cylindrical coordinates turn into their circular cylindrical counterparts, is shown to correspond to the focused wave modes of the Bessel-Gauss type.展开更多
2023年5月21日,近地警告系统(GPWS)的发明者查尔斯·唐纳德·贝特曼(Charles Donald Bateman)在家人的陪伴下,在贝尔维尤的家中因帕金森病并发症而离世,享年91岁。他发明的近地警告系统能显著降低飞机可控飞行撞地事故的风险。...2023年5月21日,近地警告系统(GPWS)的发明者查尔斯·唐纳德·贝特曼(Charles Donald Bateman)在家人的陪伴下,在贝尔维尤的家中因帕金森病并发症而离世,享年91岁。他发明的近地警告系统能显著降低飞机可控飞行撞地事故的风险。美国国家运输安全委员会成员、波音公司前安全总工程师厄尔·韦纳曾说:“我认为,唐·贝特曼挽救的生命可能比商业航空史上任何一个人都多。”展开更多
文摘A new family of exact solutions to the wave equation representing relatively undistorted progressive waves is constructed using separation of variables in the elliptic cylindrical coordinates and one of the Bateman transforms. The general form of this Bateman transform in an orthogonal eurvilinear cylindrical coordinate system is discussed and a specific problem of physical feasibility of the obtained solutions, connected with their dependence on the cyclic coordinate, is addressed. The limiting case of zero eccentricity, in which the elliptic cylindrical coordinates turn into their circular cylindrical counterparts, is shown to correspond to the focused wave modes of the Bessel-Gauss type.
文摘2023年5月21日,近地警告系统(GPWS)的发明者查尔斯·唐纳德·贝特曼(Charles Donald Bateman)在家人的陪伴下,在贝尔维尤的家中因帕金森病并发症而离世,享年91岁。他发明的近地警告系统能显著降低飞机可控飞行撞地事故的风险。美国国家运输安全委员会成员、波音公司前安全总工程师厄尔·韦纳曾说:“我认为,唐·贝特曼挽救的生命可能比商业航空史上任何一个人都多。”
