paper/result/perfect/default.typ

@@ -34,7 +34,7 @@ These phonons were categorized into two groups according to their electrical pol
     where atoms of the same species vibrated in phase,
     resulting in strong electrical polarization and observable effects in Raman spectra
     (colored lines in @figure-discont).
-The categorized was also illustrated and compared with Raman experiment in @fig-raman.
+The categorized was also illustrated and compared with Raman experiment in @figure-raman.
 
 极性不同的模式有着不同的行为，因此被分开讨论。
 

paper/result/perfect/non-polar/default.typ

@@ -84,14 +84,14 @@ The calculated phonon frequencies were in good agreement with experimental value
   with a slight underestimation of 2-5%,
   which might be attributed to the known tendency of the PBE functional underestimating interatomic forces (cite).
 The calculated Raman tensors were also consistent with both experimental and theoretical results.
-Among negligible-polar modes, the E#sub[2]-3 mode exhibited the highest Raman intensity,
+Among negligible-polar modes, the E#sub[2]-3 mode showed the highest Raman intensity,
   followed by four modes with lower intensities that were also visible in normal incidence Raman experiments,
   including the E#sub[2]-1 mode, the E#sub[2]-2 mode, the E#sub[1]-1 mode, and the A#sub[1]-1 mode.
 The E#sub[1]-2 mode and E#sub[2]-4 mode were not visible in our Raman experiments,
   as they were located close to the most intense E#sub[2]-3 mode (only about 10 cm#super[-1] away)
   with very weak Raman intensities (only 0.1% and 0.6% of the E#sub[2]-3 mode, respectively).
 Additionally,
-  the A#sub[1]-2 mode exhibited a very weak Raman intensity under the incident light with in-plane polarization
+  the A#sub[1]-2 mode had only a very weak Raman intensity under the incident light with in-plane polarization
     (only 0.01),
   but showed an observable intensity when the polarization is along the z-axis (1.78).
 Thus, it was not typically observed in normal incidence Raman experiments (cite),
@@ -100,16 +100,38 @@ Thus, it was not typically observed in normal incidence Raman experiments (cite)
 
 不同方向的入射配置会导致微小但可观测的峰位差异。
 
-非零长度的波矢（i.e. 参与散射的声子不在 Gamma 点）导致不同入射配置的峰位具有微小但可观测的差异，如色散图所示。
-相比于正入射，肩入射时，E2-1与E2-2的间距会减小、E2-2会展宽；E2-3会展宽，同时略微蓝移动。
-我们的计算结果为xxx，实验结果为xxx。
+微小但可观测的峰位移动应该存在于不同入射配置的峰位中，因为非零的波矢长度。
+在我们的计算中，相比于正入射，肩入射的E2-1与E2-2的间距会减小0.49，同时A1-1会红移0.19。
+在实验中，E2-1与E2-2的间距减少0.36，A1-1红移了xxxx。
 
-// 186.38835388124227
-// 201.84270995851526
+Minor but observable peak shifts of negligible-polar phonons were expected between different incidence configurations,
+  due to non-zero wavevector lengths.
+In our calculations, compared to normal incidence,
+  the spacing between the E#sub[2]-1 mode and E#sub[2]-2 mode decreased by 0.49 cm#super[-1] under edge incidence,
+  while the A#sub[1]-1 mode redshifted by 0.19 cm#super[-1].
+In our experiments, the spacing between the E#sub[2]-1 mode and E#sub[2]-2 mode decreased by 0.36 cm#super[-1],
+  while the A#sub[1]-1 mode redshifted by xxxx cm#super[-1].
 
-// 191.77252066290447
-// 199.03816532139587
+#include "figure-nopo-diff.typ"
 
+E1为什么可以被看到。
+
+E1在正入射中可以看到，尽管理论上不应该。
+这被认为是因为入射光并非完全沿z轴入射，由于衬底斜切和共聚焦汇聚角。
+通过向不同方向倾斜衬底，我们可以使这个峰变高或变低，如附图所示。
+此外，考虑到斜切方向（x方向），E1模式应该更容易在zxxz和zyxz中看到，而在zyyz中更难看到，这与实验一致。
+
+The E#sub[1]-1 mode was observed in normal incidence Raman experiments, despite being theoretically forbidden.
+This was attributed to the fact that the incident light was not perfectly aligned along the z-axis,
+  due to the substrate's slight tilt and the converging angle of the confocal setup.
+This was confirmed by tilting the substrate in different directions,
+  which caused the peak to become more or less pronounced, as shown in the inset figure.
+Furthermore, considering the tilt direction (x-direction),
+  the E#sub[1]-1 mode should be more easily observed in the zxxz and zyxz configurations,
+  while being more difficult to detect in the zyyz configuration,
+  which is consistent with our experimental observations.
+
+#include "figure-e1.typ"
 
 // 其它峰在其它章节中解释。
 // 

paper/result/perfect/polar/default.typ

@@ -11,6 +11,15 @@
 // 若考虑到到入射光不是严格沿着 z 方向，而是有一个小的角度（例如 10 度），则此时有一个声子模式沿着 x 方向，另外两个声子模式则为 y-z 两个方向的混合。
 // (没有在图上表示)
 
+半导体中的强极性声子模式强烈地依赖于入射光的方向，
+  这是由于半导体中原子之间的长程库伦相互作用所致，
+  表现在散射光谱中，Gamma点附近不连续（见@figure-discont）。
+具体来说，当入射光沿着 z 方向时，起作用的是 A-Gamma 线上的声子模式（图中的上半部分的橘线），它们适用于群 C6v。
+这时会有一个 TO 模式（C6v 中的 E1）和一个 LO 模式（C6v 中的 A1）。
+而当沿着 y 方向入射时，起作用的是 Gamma-K 线上的声子模式（图中下半部分的橘线），它们不再适用于群 C6v，而只适用于群 C2v；
+这时将会出现三个模式，包括一个LO（沿y方向振动，对应C2v中的A1）和两个TO模式（根据振动方向，命名为B2-x和B2-y，对应C2v中的B1和B2）。
+当入射光不是严格沿着坐标轴方向，而是在xOy面内呈现一定的夹角时（掠入射，以及考虑了斜切的正入射），则此时有一个声子模式沿着 x 方向，另外两个声子模式则为 y-z 两个方向的混合。
+
 Strong-polar phonon modes caused by different incident light directions are different,
   due to long-range Coulomb interactions between atoms in semiconductors,
   showing discontinuity in the scattering spectra near the #sym.Gamma point (see @figure-discont).
@@ -28,15 +37,25 @@ For example, when the light is incident along the y direction (phonon modes on t
 When the light is incident along a direction between z and y,
   three phonon modes will exist, but vibration in the mixed direction.
 
-理论上预测，不同入射时，会发生什么改变，峰之间的差距有多少；实验中观测到的，差距有多少。
+将理论/计算结果与实验对比。
 
-// 实验发现的确是这样的。
+我们将计算与实验结果进行了对比。衬底中的LO峰与plasmon耦合形成LOPC峰，因此与计算结果大不相同。
+对于TO峰，在正入射中，它与E2-3模式的距离为xxx；在掠入射中，它与E2-3模式的距离为xxx。
 
 Many Raman experiments on 4H-SiC with incident light along the z direction have observed two peaks.
 However, no experiments have reported three peaks with incident light along other directions.
 In our experiment, we found the third, and it satisfied properties we expected.
 In our experiments, we found that the third peak only appears when focusing inside the sample.
 
+E1 的情况。
+
+注意到在正入射中，理论上不能被观察到的E#sub[1]-1模式也被观察到了。
+与弱极性的 E1-1 模式类似，我们也认为这是由于入射光并非完全沿 z 轴入射所致。
+但与弱极性 E1-1 模式不同的是，强极性 E1-1 模式在 xy 的偏振下并没有更强反而更弱。
+这是因为E1这时不再是严格的E1模式，而是分裂成了两个相近的模式。
+我们的计算表明，在2度的入射角下，E1分裂的两个模式非常接近。
+其中某个模式会怎样怎样，另一个会怎样怎样。
+
 // 我们预测，随着入射方向偏移，LO 峰会向着高频方向移动。此外，我们也注意到 LO 也会与载流子产生影响。
 // 在 n 型半导体中，LOPC 模式将代替 LO 模式；在 p 型半导体中，LO 模式仍然单独存在，但它的半高宽会受到载流子浓度的影响。
 

paper/result/perfect/polar/table-pol.typ

@@ -15,7 +15,7 @@
     let lopc = [Yes#linebreak() (LOPC)];
     let overf = [Yes#linebreak() (overfocused)];
     table(columns: 19, align: center + horizon, inset: (x: 3pt, y: 5pt),
-      m2[*Incident Direction*], m(4)[z], m(4)[y], m(9)[between z and y, 20#sym.degree to z],
+      m2[*Incident Direction*], m(4)[z], m(5)[y], m(8)[between z and y, 20#sym.degree to z],
       m2[*Vibration Direction*],
         // TODO: check LO-TO mixed
         [TO (x)], [TO (y)], m2[LO (z)], m3[TO (z)], [TO (x)], [LO (y)], m3[TO (y-z mixed)], [TO (x)], m(4)[LO (y-z mixed)],