tailieunhanh - Behaviour of Electromagnetic Waves in Different Media and Structures Part 8

Tham khảo tài liệu 'behaviour of electromagnetic waves in different media and structures part 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 198 Behaviour of Electromagnetic Waves in Different Media and Structures e roce Sinl roce CosISinD ---- Ey Vy - 7 Vx - - 4 Vz me ve - iro ve - iro ve - iro 31 32 e . T roce CosICosD roce CosISinD T ---. . Ez Vz . Vx Vy me ve -iro ve - iro ve - iro Fig. 6. Earth s magnetic field on north hemisphere In order to obtain the current density if the both sides of the expression is multiplied by -eNe the Equations 30 - 32 transform to Equations 33 - 35 . e2 l Ệ roce SinI roce CosICosD --- . Ex Jx . Jy ------- -T-Jz 33 me ve - iro ve - iro ve - iro 2 e Ne roce SinI roce CosISinD --- . Ey - . Jx Jy----- -T Jz 34 me ve - iro ve - iro ve - iro e2Ne c ---- -me ve - iro roce CosICosD roce CosISinD . Jx - . Jy Jz ve - iro ve - iro 35 These equations are first order linear equation in three unknowns. It is impossible to obtain this expression in the solution of each other. Therefore whether or not the solution it is necessary to express by using Cramer s Method . This method gives the solution of linear Electromagnetic Wave Propagation n Ionospheric Plasma 199 equation system which has coefficients matrix as square matrix. According to this method if the determinant of the coefficients matrix of the system is non-zero the equation has a single 2 solution. Let accept the fN- oi - nl a ceCosfCosD b and me ve - iro ve - iro ve -iro roce CosISinD T----- c Ve - iro in Equations 33 - 35 . Thus these tree equations can be defined as follows o0Ex 1 a b Jx O0Ey -a 1 -c Jy 36 OoEz _-b c 1 J Jz . Here the coefficients matrix is named as A by taking the determinant of this matrix the Equation 37 can be obtained. detA 1 a b -a 1 -c -b c 1 1 a2 b2 c2 0 37 This tells us that one solution of the equation. According to Cramer solution is as follows Jx detAi T detA2 1 . . Jz detA detAj detA 38 Jy detA Here the terms o Al A2 and A3 O0Ex a b are define d as follows 1 O0EX b 1 a O0EX detA1 O0Ey 1 -c OoEz c 1 detA2 -a ơoEy -c -b OoEz 1 detA3 -a 1 ơoEy -b c ơ0Ez 39 In this statement the x direction .