Tham khảo tài liệu 'micromechanical photonics - h. ukita part 10', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Theoretical Analysis 171 every H component is surrounded by four circulating E components. The position of the electric- and magnetic-field vector components is approximately a cubic unit of the Yee space lattice. We now rewrite the vector components of yielding the following system of six coupled scalar . dHX dt __ 1 Ũ ZdEy V dz 9Ez dy H dt _ 1 Ũ ỉ E dx dEx dz J dHz dt _ 1 Ũ 9EX dy _CdEy dx 7 dEX df _ 1 dHz dy E - dT - ơEx dEy dt _ 1 dHx V dz dHz - ay - ơEy dEz dt _ 1 f dHy dx - -Sr - . dy J Here from we define the function F on i j k at the time increment n as Fn i j k F iAx j Ay kAz nAt . The space and time derivatives are given as dFn i j k _ Fn i 1 jk - Fn i - 2 jk 511 dx Ax . dFn i j k Fn 2 i j k - Fn-1 i j k at -------------- at---------------. The space derivative has the same form for y z and the time derivative is given between half an increment and half a decrement. Considering F as E or H are expressed as the time-stepping expressions - . n 1 i . . 1 1 IIX ii j 2 k 2 HX X 2 . 1 L IV At I i j ợ k 2 . . 1 1 2 2 J v i j 2 k 2 Ey i j 1 k Ey i j 1 kl Az En i. j k D En i. j 1. k D - _ z V j I 9 I 1 J z V j I J- v I Í-Ị f I z 1 s 1 2 z I 2 Ay 172 5 Near Field H n 2 i 1 j k 1 Hn 2 i 1 j k 1 -_- t__ Hy l j k 9 Hy x 1 J k 72 I 1 I 11 2 2J 2 2J EXi 2 j k 2 En i 1 j k D En i. j k I J-Jz V L j A 27 Ez j h- 27 En i 1 j k _ En i - 1 j k - 1 Ex V 2 j K Ex V 2 j K 1 Az H n 2 i 1 j 1 k Hn 2 i 1 j 1 k -__At JH z I i I tv I TH z I i I tv I 1 -I X z 1 i J i z 0 0 . I 1 I 1 7_ 2 2 2 2 E ỵl 2 j 2 k E n i 2 j 1 k Ex i 2 j k En i j kẦ _ En i 1 j k Ey h j 2 7 E y V 1 j 2 7 A 1 q i 1 j k At At En 1 i 1 7 __2 i 2 j k En i 1 i k e i 1 i k I I I 2 J 7 1 J i 2 j k At z 7 1 J i 2 j k At 2e i ị j k 2e i ị j k TTn ị ị I 1 2 I 1 TTn ị I 1 2 1 x H i 2 j 2 k - H i 2 j - 2 k TT n 2 ÍI 1 7 1 TTn 2 ÍI 1 7 I 1 H i 2 j k 2 Hy V 2 j k 2 Az
