7 For z-polarized contacts in parallel configuration, and in anti-parallel configuration For x-polarized contacts in parallel configuration, and in anti-parallel configuration. For y-polarized contacts in parallel configuration, and in anti-parallel configuration. Noting that tan φ ≈ − k$_{X}$/k$_{Y}$ and k 2 0 ≈ k 2 X + k 2 Y we can write, V$_{Z}$ ∼ T$_{zz}$ − T$_{¯}$ zz = B cos ( 2 m $^{∗}$αL ℏ 2 k$_{0}$ √ k 2 0 − k 2 Y ) V$_{X}$ ∼ T$_{xx}$ − T$_{¯}$ xx = B { k 2 Y k 2 0 + ( 1 − k 2 Y k 2 0 ) cos ( 2 m $^{∗}$αL ℏ 2 k$_{0}$ √ k 2 0 − k 2 Y )} V$_{Y}$ ∼ T$_{yy}$ − T$_{¯}$ yy = B ( 1 − k 2 Y k 2 0 ) + k 2 Y k 2 0 cos 2 m $^{∗}$αL ℏ 2 k$_{0}$ k 2 0 − k 2 Y (A16) t$_{¯}$ yy = 1 2 { 1 + i } [ t ] { 1 + i } = t$_{11}$ − t$_{22}$ + i ( t$_{12}$ + t$_{21}$ ) 2 T$_{¯}$ yy ∼ (1 − sin 2 φ ) − cos 2 φ cos( θ$_{+}$ − θ$_{−}$ ) 2 (A15) t$_{yy}$ = 1 2 { 1 − i } [ t ] { 1 + i } = t$_{11}$ + t$_{22}$ + i ( t$_{12}$ − t$_{21}$ ) 2 T$_{yy}$ ∼ ∣ ∣$^{(1 + sin}$$^{φ}$$^{) exp(}$$^{iθ$_{+}$}$$^{) + (1}$ − sin φ ) exp( iθ$_{−}$ ) 2 ∣ ∣$^{2}$ ∼ (1 + sin 2 φ ) + cos 2 φ cos( θ$_{+}$ − θ$_{−}$ ) 2 (A14) t$_{¯}$ xx = 1 2 { 1 − 1 } [ t ] { 1 1 } = t$_{11}$ − t$_{22}$ + t$_{12}$ − t$_{21}$ 2 T$_{¯}$ xx ∼ (1 − cos 2 φ ) − sin 2 φ cos( θ$_{+}$ − θ$_{−}$ ) 2 (A13) t$_{xx}$ = 1 2 { 1 1 } [ t ] { 1 1 } = t$_{11}$ + t$_{22}$ + t$_{12}$ + t$_{21}$ 2 T$_{xx}$ ∼ ∣ ∣$^{(1 + cos}$$^{φ}$$^{) exp(}$$^{iθ$_{+}$}$$^{) + (1}$ − cos φ ) exp( θ$_{−}$ ) 2 ∣ ∣$^{2}$ ∼ (1 + cos 2 φ ) + sin 2 φ cos( θ$_{+}$ − θ$_{−}$ ) 2 (A12) t$_{¯}$ zz = { 0 1 } [ t ] { 1 0 } = t$_{21}$ T$_{¯}$ zz = | t$_{21}$ | 2 ≈ 1 − cos( θ$_{+}$ − θ$_{−}$ ) 2 (A11) t$_{zz}$ = { 1 0 } [ t ] { 1 0 } = t$_{11}$ T$_{zz}$ = | t$_{11}$ | 2 ≈ 1 + cos( θ$_{+}$ − θ$_{−}$ ) 2 (A10)