Caustic Patterns in Cubic Crystals

Phonon Focusing Patterns In Cubic Crystals

Cuspdial caustic points:

{100} plane: φ₁

{110} plane φ_2α and φ_2β and anticaustic point φ_x

Parabolic caustic points:

{100} plane: φ₁

{110} plane φ_2a and φ_2b

∆	(a,b)	FT mode [100]	ST mode [100]	FT mode [111]	ST mode [111]	Results
		φ₁		φ_x, φ₂_β, φ_2b	φ₂_α, φ_2a
∆>0	4.2,-0.6					φ₁=19.75 φ₁= φ_x=73.58 φ₂_α=26.33 φ₂_β=66.72 φ_2a=26.33 φ_2b=74.46
	3.8,-0.4					φ₁=24.58 φ₁= φ_x=71.39 φ₂_α=31.65 φ₂_β=61.82 φ_2a=31.65 φ_2b=73.00
	3.4,-0.2					φ₁=30.74 φ₁= φ_x=68.55 φ₂_α=37.77 φ₂_β=56.10 φ_2a=37.80 φ_2b=71.31
	3.0,0.0					φ₁=38.69 φ₁= φ_x=64.76 φ₂_α=44.40 φ₂_β=49.54 φ_2a=44.82 φ_2b=69.94
	2.9,0.05					φ₁=40.91 φ₁= φ_x=63.61 φ₂_α=45.85 φ₂_β=48.00 φ_2a=46.67 φ_2b=70.12
	2.8,0.1					φ₁=43.08 φ₁= φ_x=62.36 φ₂_α=46.81 φ₂_β=46.85 φ_2a=48.51 φ_2b=71.37
	2.7,0.15					φ₁=44.81 φ₁= φ_x=60.99 φ₂_α= φ₂_β= φ_2a=50.31 φ_2b=78.36

			φ₁,φ₁, φ₂_α	φ_x, φ₂_β	φ_2b
∆<0	2.0,0.5					φ₁=1.213 φ₁= φ_x=46.69 φ₂_α= φ₂_β= φ_2a= φ_2b=50.58
	1.9,0.55					φ₁=5.117 φ₁= φ_x=43.67 φ₂_α=2.386 φ₂_β=89.82 φ_2a= φ_2b=48.29
	1.8,0.6					φ₁=9.815 φ₁=5.519 φ_x=40.32 φ₂_α=6.237 φ₂_β=87.94 φ_2a= φ_2b=45.56
	1.7,0.65					φ₁=14.80 φ₁=14.53 φ_x=36.59 φ₂_α=10.71 φ₂_β=85.34 φ_2a= φ_2b=42.34
	1.6,0.7					φ₁=19.84 φ₁=19.74 φ_x=32.47 φ₂_α=15.51 φ₂_β=82.42 φ_2a= φ_2b=38.55
	1.4,0.8					φ₁=29.49 φ₁=28.03 φ_x=22.99 φ₂_α=25.45 φ₂_β=76.15 φ_2a= φ_2b=28.92
	1.2,0.9					φ₁=38.07 φ₁=36.06 φ_x=11.98 φ₂_α=35.14 φ₂_β=69.72 φ_2a= φ_2b=16.04

	Note:	{100} plane: φ₁ (inflection caustic point) φ₁ (parabolic caustic point) (Yardstick: 10^o)		{011} planes: φ_x (anticaustic point) φ₂_α, φ₂_β (inflection caustic point) φ_2a,φ_2b (parabolic caustic point)		LeftClick for EPS file RightClick for PNG file