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Electromagnetic Waves Propagation in Complex Matter Part 5

Tham khảo tài liệu 'electromagnetic waves propagation in complex matter part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Nonlinear Propagation of Electromagnetic Waves in Antiferromagnet 67 c - M NZ 0 2-17c d z--3 0 - z2yN 22 0 NWx 0 Z-.Z2. 0 2M 2 e iz N 0 -Z N 0 - N zZ22 0 N z 2 0 a IzZ 0 2-17d -z N 0 - N2Z2 0 N 22 zZ22 0 - 2 mNZ22 0 e _ i T I_3 1 N 2 2 -3NÍ.1 z 2 2 zí1 NÍ22 0 e 2 M 3z22 NZ22 2 3N22 zZ22 2 Z2y Nzy2 0 NÍ1 z 2 0 2 z 1 N 2 2 l 2y Zzy2 w J 1 2 M 1 e l-z22 1 V Z22 -I- v 1 M 2 fo l M 1 v 2 i rni TV 1 v 2 fOYl 4- m r V 1 N 2 ÍỌrtìì f9_1 7i A Z2yNZy2 0 - N22 ZZ22 2 - N2y Zzy2 0 a z22 NZ22 2 2-17e z2M2 0 N 2zZ22 2 2 0 - 2 mN Z22 2 f __i T 3 yip N 2 2 3N 1 Vi 2 - y 1 N 2 0 f 2M 3z22 NZ22 2 3N22 xZ22 2 z22 NZ22 0 -N212 zZ22 0 2 e z22 nZ22 0 2 M0 z 1 N 2 2 - N 1 z 2 0 - Nỵ z 2l 2 z 1 NS2 0 2-17f z22 LNZ22 i- 1V22zZ22Vy LN 22 ZZ22 À- a Ỉ-Z22 1VZ22Vy - L z 1 n 2 2 N1 z 22 0 z22 1NZ22 - 22 ZZ22 J N 2zZ22 2 - 2 m NZ22 0 N 22 2 g M N22 0 2-17g h - z22 nZỈ2 0 z n z22 0 n212 zZỈ2 0 n2ỉ zZ222 0 - 2 e z22 nZỈ2 0 z2ỉ nZ22 0 - N zZ22 0 - N21y zZ222 0 a z22 N z22 0 2-17h z22 n Z22 0 n212 zZ22 0 N2ỉ zZ22 0 - 2 mN z22 0 68 Electromagnetic Waves Propagation in Complex Matter l M- 2Nxyi 2a Nxy 0 2-17i p a 2N 2a N 2 0 2-17j M0 The symmetry relations among the third-order elements are found to be Z 3 . a z L a . z 3 a Z 3 . a zxxxx zyyyy z Zxyyx wJ zyxxy w z 3L a z ĨL a . z ĩl. a z. 3 a . z 3 . a Z 3 . a Zxzzx wJ Zyzzy zxxxy zyyyx zxyyy zyxxx Z z 31 a z 33. a Z 3L. a . z L.a Z 3L. a . z 3L. a z 3 . a i. Zxxyx a Zxyxx a Zyxyy a Zyyxy a Zxzzy a Zyzzx a Zzxzy a Zzzxy a z 3L a z 33 a z 3 . a Z 3.L. a Z .3 a Z .L. a z 3L a z 3.L a Zzxzx a Zzzxx a Zxxyy a Zxyxy a Zyxyx a Zyyxx a Zzyzx a Zzzyx a z 3L a z 3 . a Z .L a z. 3.L a Z 3l. a z 3 l. a Zxxzz a Zxzxz a Zyyzz a Zyzyz a Zzyzy a Zzzyy a z 3L a Z a z. 3L a Z 3 r a . Zxyz Zxzyz w Zyxzz w Zyzxz w Although there are 81 elements of the third-order susceptibility tensor and their expressions are very complicated but many among them may not be applied due to the plane or line polarization of used electromagnetic waves. for example when the magnetic field H