| # Scientific Sources — Case01 |
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| ## References |
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| Pei-Lun He, Camilo Ruiz, and Feng He. 2016. *Carrier-Envelope-Phase Characterization for an Isolated Attosecond Pulse by Angular Streaking*. *Physical Review Letters*, 116, 203601. [Source](https://doi.org/10.1103/PhysRevLett.116.203601) |
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| Carrier-Envelope-Phase Characterization for an Isolated Attosecond Pulse by Angular Streaking |
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| ## Criterion-to-source crosswalk |
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| 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. |
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| | Criteria | Source locations, scientific use and limits | |
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| | F1 | He et al. (2016), article p.203601-2, Eq.(1) and Fig.1(a): finite-support circular pulses, intensity-to-field convention and combined waveform. | |
| | F2, O1, I1, M1, M2 | He et al. (2016), article p.203601-2, Fig.1(a,b) and paragraph beginning "At the moment": parallel/antiparallel field addition modulates nonlinear ADK release, and subsequent vector-potential streaking maps release to detection direction. The ADK reference is their Ref.[32]. | |
| | F3, O3, M3 | He et al. (2016), article pp.203601-2-3, Eqs.(2)-(4), Fig.2(c,h): one combined-field SFA amplitude; its interference contribution is signed, not a probability or two independently propagated single-pulse yields. | |
| | O2, I2 | He et al. (2016), article p.203601-3, Fig.2(a-d), especially final total (d), and adjacent ring/modulation discussion. These are 67 nm fixed-phase SFA anchors; genuine multi-CEP recalculation is a task-defined inference duty, not an existing source phase-map target. | |
| | O4, I3, M6 | He et al. (2016), article p.203601-3, Fig.2(f-i), especially 100 nm total (i), compared with 67 nm Fig.2(a-d); p.203601-2 states wavelength generality. Applying one diagnostic across genuine CEP recalculations is task-defined. | |
| | M4, M5, M7, M8 | He et al. (2016), article pp.203601-3-4, Fig.3(a) and paragraphs defining angular integration and CEP dependence; pp.203601-2-3, Eq.(4), Fig.2(d,i). Fig.3(a) is a hydrogen 100 nm TDSE phase map: it motivates phase-sensitive inference but does not prescribe the different ADK/SFA diagnostic or its geometry. | |
| | V1, V2 | He et al. (2016), article pp.203601-2-4, Eqs.(2)-(5), discussion distinguishing explanatory SFA from quantitative TDSE and Fig.4(a,b) noise examples. The positive stated model domain and risk-triggered validation are task/evaluation duties; neither TDSE nor these particular noise controls is compulsory. | |
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| ## Formula and convention notes |
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| For F1-F3/O1-O4/M1-M4, the source convention (article p.203601-2, Eqs.(1)-(4)) is |
| $$M(\mathbf p)=-i\int dt\,e^{i\phi(t)}\mathbf d[\mathbf p+\mathbf A(t)]\cdot\mathbf E(t),\quad |
| \phi(t)=I_p(t-t_0)+\frac12\int_{t_0}^{t}[\mathbf p+\mathbf A(s)]^2ds,$$ |
| $$\mathbf E=\mathbf E_{\rm IAP}+\mathbf E_{\rm IR}=-\dot{\mathbf A},\quad I_p=0.5,\quad |
| \mathbf d(\mathbf k)\propto\frac{\mathbf k}{(k^2+2I_p)^3}.$$ |
| The common dipole scale is free. In the usual electron convention with zero final vector potential, the no-Coulomb zero-launch drift is $\mathbf p_\infty=-\mathbf A(t_r)$; an opposite global momentum convention requires the matching angular transformation. A hydrogen-1s relative ADK form is $w(F)\propto F^{-1}\exp[-2/(3F)]$, $F=|\mathbf E(t_r)|$, within the stipulated tunnelling baseline. The source cites ADK rather than printing this rate. The already stated signed cross term is the algebraic expansion of this one amplitude; components retain the same combined-field action and dipole. |
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| The physical finite-support source pulse is $\mathbf E_i(t)=E_{0i}[\cos(\omega_it+\theta_i)\hat x-\sin(\omega_it+\theta_i)\hat y]\cos^2(\pi t/\tau_i)$ for $|t|<\tau_i/2$, zero otherwise, with $E_{0i}=\sqrt{I_i/(3.51\times10^{16}\,{\rm W\,cm^{-2}})}$ in atomic units. These are source Eq.(1), not a vector-potential envelope substituted for the physical field. |
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| ## Scope of the source anchors |
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| 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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