cases/case01/sources.md

Scientific Sources — Case01

References

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

Carrier-Envelope-Phase Characterization for an Isolated Attosecond Pulse by Angular Streaking

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	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.

Formula and convention notes

For F1-F3/O1-O4/M1-M4, the source convention (article p.203601-2, Eqs.(1)-(4)) is $$M(\mathbf{p})=-i\int dt{e}^{i\varphi (t)}\mathbf{d}[\mathbf{p}+\mathbf{A}(t)]\cdot \mathbf{E}(t),\varphi (t)=I_p(t-t_0)+\frac{1}{2}{\int }_{t_0}^t[\mathbf{p}+\mathbf{A}(s){]}^{2}ds,M(\backslash mathbf\; p)=-i\backslash int\; dt\backslash ,e^\{i\backslash phi(t)\}\backslash mathbf\; d[\backslash mathbf\; p+\backslash mathbf\; A(t)]\backslash cdot\backslash mathbf\; E(t),\backslash quad\; \backslash phi(t)=I\_p(t-t\_0)+\backslash frac12\backslash int\_\{t\_0\}^\{t\}[\backslash mathbf\; p+\backslash mathbf\; A(s)]^2ds,$$ $$\mathbf{E}={\mathbf{E}}_{\mathrm{I}\mathrm{A}\mathrm{P}}+{\mathbf{E}}_{\mathrm{I}\mathrm{R}}=-\dot{\mathbf{A}},I_p=0.5,\mathbf{d}(\mathbf{k})\propto \frac{\mathbf{k}}{(k^2+2I_p{)}^3}\mathrm{.}\backslash mathbf\; E=\backslash mathbf\; E\_\{\backslash rm\; IAP\}+\backslash mathbf\; E\_\{\backslash rm\; IR\}=-\backslash dot\{\backslash mathbf\; A\},\backslash quad\; I\_p=0.5,\backslash quad\; \backslash mathbf\; d(\backslash mathbf\; k)\backslash propto\backslash frac\{\backslash mathbf\; k\}\{(k^2+2I\_p)^3\}.$$ 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.

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.

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.