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2c93ae3 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 | # Scientific Sources — Case13
## References
Guang-Rui Jia, Xiao-Huan Huang, and Xue-Bin Bian. 2017. *Nonadiabatic redshifts in high-order harmonic generation from solids*. *Optics Express*, 25, 23654-23662. [Source](https://doi.org/10.1364/OE.25.023654)
Nonadiabatic redshifts in high-order harmonic generation from solids
Zhong Guan, Xiao-Xin Zhou, and Xue-Bin Bian. 2016. *High-order-harmonic generation from periodic potentials driven by few-cycle laser pulses*. *Physical Review A*, 93, 033852. [Source](https://doi.org/10.1103/PhysRevA.93.033852)
Source-cited periodic-potential TDSE method, physical k=0 band-2 initial-state identity and current-derived HHG observable.
## Criterion-to-source crosswalk
Article page identifiers below are journal pages, not PDF viewer indices. Supplemental pages are explicitly marked. The crosswalk distinguishes direct source facts, mathematical entailments and task-defined evidence duties. Original images and PDFs are referenced only; none are reproduced.
| Criteria | Source locations, scientific use and limits |
|---|---|
| F1, F2 | Jia et al. (2017), article pp.23656,23658, Secs.2-3, Eqs.(1),(2): periodic SAE potential, accelerated k(t), finite-pulse driver and emitted TDSE response; numerical construction refers to Guan et al. (2016), Sec.II, Eqs.(1)-(12). |
| O1, I1, M1 | Jia et al. (2017), article pp.23657-23659, Figs.1-3, Eq.(3): conduction-band gap differences and plateau cutoffs near 32,66,112 in flat-envelope Case A. Those scales are recognition anchors, not exact pixel/cutoff tolerances. |
| O2, I2, M2, M3 | Jia et al. (2017), article pp.23659-23660, Fig.3 insets, Fig.4 and Sec.3.1: even/odd emitted structure and loss of half-cycle population symmetry during indirect multiband excitation; optional two-band control removes even-order contribution. |
| O3, O4, I3, I4, M6, M8 | Jia et al. (2017), article pp.23660-23661, Sec.3.2 and Figs.5-6: 10-cycle versus 15-cycle finite cosine-squared pulse spectra, stronger/earlier high-order redshift at shorter duration and later higher-region shift at longer duration. |
| M4, M5, M7 | Jia et al. (2017), article pp.23658,23660,23662, stepwise-excitation discussion, Fig.4, Eqs.(4),(5) and Fig.7: delayed higher-band population/emission favors the falling pulse, whose weaker instantaneous field yields redshift. Asymmetry coefficient is a canonical diagnostic, not mandatory. |
| V1, V2 | Jia et al. (2017), article pp.23656,23658,23660,23662, SAE model, finite-pulse interpretation and conclusion. Actual alternative discrimination and model/range restrictions are task obligations; coordinate inversion alone is not evidence of dynamical half-cycle symmetry. |
## Formula and convention notes
For M1/M4-M8, article pp.23656-23658, Eq.(1),(3), the semiclassical interpretation uses $k(t)=k_0+A(t)$ and $N_b\omega\simeq\varepsilon_{C_b}(k_{\max})-\varepsilon_v(k_{\max})$, not the gas-phase $I_p+3.17U_p$ rule. The optional falling/rising diagnostic (article pp.23660,23662, Eqs.(4),(5)) is
$$A(N)=\frac{S_f-S_r}{S_f+S_r},\quad
S_f=\int_{\tau/2}^{\tau}g(N\omega,t)dt,\quad S_r=\int_0^{\tau/2}g(N\omega,t)dt.$$
Here $g$ is a declared time-local harmonic signal. This coefficient is meaningful only with nonzero resolved denominator and correctly bound pulse centre; equivalent timing, intervention or pulse-segment evidence may replace it. The spectral parity and displacement aspects remain independently scored; a total-current redshift reference cannot establish uncomputed population symmetry or weak even-order amplitude.
## Scope of the source anchors
The locators identify scientific objects and mechanisms, not compulsory figure layouts, solver settings, exact grids, pointwise tolerances or a fixed evidence package. Canonical examples may be replaced by functionally equivalent evidence subject to the rubric. Source readback verifies the candidate's science; it cannot supply missing candidate presentation, identification or inference. Reporting, applicability/N/A and descriptive Research Closure duties remain those stated in the rubric and task.
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