Wave Propagation 2011 Part 1 docx

Wave Propagation 2011 Part 1 docx

Wave Propagation 2011 Part 1 docx

... Dimensional Photonic Crystal 19 3 Arafa H Aly 11 . Wave Propagation in Elastic Media with Micro/Nano-Structures 2 01 G. L. Huang, C.T. Sun and F. Song 12 . Wave Propagation in Carbon ... becomes (19 ) Equation (19 ) yields (20) where (ξ) is expressed by Wave Propagation in Materials for Modern Applications Wave Propagation in Materials f...
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Wave Propagation 2011 Part 19 docx

Wave Propagation 2011 Part 19 docx

... Hz). Time [sec] 2 019 1 817 1 615 1 413 1 211 109876543 210 Acceleration [mm/sec2] 0.2 0 .1 0 -0 .1 -0.2 -0.3 -0.4 -0.5 Time [sec] 2 019 1 817 1 615 1 413 1 211 109876543 210 Velocity [mm/sec] 0. 01 0.008 0.006 0.004 0.002 0 -0.002 -0.004 -0.006 ... Wave Propagation in Materials for Modern Applications 518 Time [sec] 2 019 1 817 1 615 1 413 1 211 109876543 210 Accelerat...
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Supply Chain Management 2011 Part 1 docx

Supply Chain Management 2011 Part 1 docx

... − 1 B 1 − 1, B 2 − 1 B 1 , B 2 − 1 1, − C +1 2, − C +1 B 1 − 1, − C +1 B 1 , − C +1 1, − C 2, − C B 1 − 1, − C B 1 , − C 1, − C+2 2, − C+2 B 1 − 1, − C+2 B 1 , − C+2 μ 1 μ 2 μ 1 ... + 1) I 2 = −C: ( μ 1 + μ 2 )P (1, −C) = λ P (1, −C + 1) ( μ 1 + μ 2 )P(I 1 , −C) = μ 1 P(I 1 − 1, −C) + λ P(I 1 , −C + 1) , 2 ≤ I...
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Wave Propagation 2010 Part 4 docx

Wave Propagation 2010 Part 4 docx

... surface. 0 10 0 200 300 400 0 0.2 0.4 0.6 0.8 10 6 10 8 10 10 10 12 10 14 10 16 10 18 Distance from the Surface (nm) Energy (eV) Electron Density (cm -3 ) i-GaAs n-GaAs Electromagnetic Wave Propagation ... Modern Physics, 81, pp. 10 9 16 2. Chigrin, D. N. and Sotomayor Torres, C. M (2003). Self-guiding in two-dimensional photonic crystals. Optics Express, 11 , No 10 ,...
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Wave Propagation 2010 Part 7 docx

Wave Propagation 2010 Part 7 docx

... analytically. If we take in Eq. (1) 12 α =− и 22 1 md p cr ε εωω =− ( the characteristics of critical points) then 1 2 1cos 1cos 1 2 ,1 2 ,1, 3 2,3 2,2, 22 1 1 cos 1 cos 12 ,12 ,1, 32,32,2, 22 cr p FF FF γγ ωω γγ − ⎡ ⎤ −+ ⎛⎞⎛ ... Singularity 19 7 ()() sin 1 cos cos 1 1, 2 ,2 , 22 PF α θ θ θαα α α θ ∂+ ⎛⎞ −=+ −++ ⎜⎟ ∂ ⎝⎠ . Therefore Eq. (1) may be rewritten as 1cos...
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Wave Propagation 2011 Part 2 pot

Wave Propagation 2011 Part 2 pot

... ' xe xt 1 M ˆ ˆ ˆˆ sin 'cos ' cos ' ze zt 1sin'sin' (20) ()( ) ⎛⎞ − +θ−−θ = ⎜⎟ ⎜⎟ +− − ⎝⎠ ii 21 21 22 22 5 11 11 12 12 R T cos 1 R T cos M 1R T R T ( 21) ()() ()( ... 22 22 j2k d cos 12 23 22 j2k d cos 12 23 RRe RR 1R R e θ ⊥⊥ ⊥ θ ⊥⊥ + == + (57) 12 21 RR0 = = (58) 22 22 jk dcos 12 23 11 j2k dcos 12 23 TTe TT 1R R e θ θ == +  ...
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Wave Propagation 2011 Part 3 pdf

Wave Propagation 2011 Part 3 pdf

... get for the uncoupled wave equation (1) : 11 2 11 1 1 1, , 1, 1, , 1, 2 11 1 1, , 1, 2 11 1 2 ,1 , ,1 ,1 , ,1 2 ,1 2 =((2 ) (12 )(2 ) (2 )) (( 2 ) (1 2)( 2 ) ( nnn nnn nnn ij ij ij ij ij ij nnn ij ... Γ 1, 11 = ½ ∂ r u , Γ 1, 12 = ½ ∂ φ u , Γ 1, 14 = ½c ∂ t u , Γ 1, 22 = 1/ r ∂ φ v − r, Γ 1, 24 = ½c ∂ t v + 1/ 2r∂ φ w , Γ 1, 44 = 1/ c∂ t w , Γ 2 ,11...
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Wave Propagation 2011 Part 4 doc

Wave Propagation 2011 Part 4 doc

... where () () () () 11 01 01 12 01 01 01 12 01 12 11 12 11 22 21 12 11 22 12 02 11 12 12 01 01 12 12 12 01 12 21 11 22 21 22 21 11 22 12 −− −− ⎡ ⎤ +− −− ⎢ ⎥ = ⎢ ⎥ −−− ⎢ ⎥ ⎣ ⎦ KKKK K KKK K K KK K ... − 11 1, 22 11 11 2 ,1, ,1 22 11 11 2 ,1, ,1 ) ()( 2 ) ()( 2 ), n kl nn nn kl kl kl ni ii kl kl kl c txDt c c c txDt c c c η η − − −− −− +− +− −− +− + +...
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Wave Propagation 2011 Part 9 potx

Wave Propagation 2011 Part 9 potx

... k =1 (0.34nm) 15 1. 625 10 − × 35 3.737 10 − × 26 1. 704 10 − × k=2 (0.68nm) 15 3.250 10 − × 34 2.5 41 10 − × 25 1. 158 10 − × k=3 (1. 02nm) 15 4.874 10 − × 34 8.296 10 − × 25 3.782 10 − × ... examples. Equation (60) becomes 22 224 23 2 1 22 2 2 23 22 12 12 22 11 22 224 23 2 1 2 22 2 23 22 12 12 22 11 i( ) 0 0 11 (1) i( ) (1 ) 0 00 i() (1...
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Wave Propagation 2011 Part 13 pdf

Wave Propagation 2011 Part 13 pdf

... ( ) ( ) Re 0, 0 ,1, 2,3 j j ξ ≠= : () () () () 2 16 6 66 11 1 1 1 13 1 13 1 13 1 2 22 1 EE EE m m cc aJaikcecmmJa aa ξ ξ ημ ξ ξ + ⎡⎤ =++−+− ⎢⎥ ⎣⎦ , () () () 21 1 44 1 15 1 1 1 1 E mm m aikceJaJa a ημξξξ + ⎡⎤ ⎡⎤ =− ... Radius ( ) a 1 1 m () ρ 3 7.5 10 ⋅ 3 7.6 10 ⋅ 3 /kg m − 11 E c 10 13 .9 10 ⋅ 10 14 .8 10 ⋅ 2 /Nm − 12 E c 10 7.78 10 ⋅...
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