Scientific sources - Case33
References
Emilio Pisanty, Daniel D. Hickstein, Benjamin R. Galloway, Charles G. Durfee, Henry C. Kapteyn, Margaret M. Murnane, and Misha Ivanov. 2018. High harmonic interferometry of the Lorentz force in strong mid-infrared laser fields. New Journal of Physics, 20, 053036. Source.
Single-atom first-order nondipole HHG in a two-beam geometry, helium parity-sensitive probing and Ne6+ recollision control. Model-specific dipole and relativistic/macroscopic limitations remain explicit; source qualitative ratios and exact orbit choices are not hidden targets.
Criterion-to-source crosswalk
Locations refer to the article or named preprint/manuscript page, not a figure-file index. The consulted PDF has a cover page: manuscript page 1 is PDF page 2. Source examples establish scientific identity and robust structure; the task defines required reporting, case coverage and risk-triggered validation. No original source images are reproduced.
| Criteria | Source locations, scientific use and limits |
|---|---|
| F1 | author manuscript p. 2 (PDF page 3), Eqs. (2)-(5); p. 4, Fig. 3(a-c); p. 5, Fig. 4; stated task target-input table Two-beam geometry, focus phase, transverse polarization and target groups define the cases. The exact He and Ne6+ ionization potentials are task-fixed atomic inputs, not values printed in those figure captions. |
| F2 | author manuscript pp. 3-4 (PDF pages 4-5), Eqs. (6)-(15), Fig. 2 and ionization-time-reference discussion First-order spatial gradients create ionization-time-dependent kinematic momentum; dropping the lower reference time can corrupt harmonic phases. |
| F3 | author manuscript p. 4, Eqs. (14)-(15), transition-dipole definition, Fig. 3 caption; stated task dipole-choice boundary A declared defensible SAE transition dipole and common transverse observable are required. The article does not uniquely impose one hydrogenic effective-1s model. |
| O1, I1, I2 | author manuscript p. 4 (PDF page 5), Fig. 3(a-c) and caption Three helium cases distinguish dominant odd and weak nondipole-sensitive even families. Intermediate-case strengths are assessed from actual data, not a forced binary category or exact ratio. |
| O2, O3, O4, I3 | author manuscript p. 5 (PDF page 6), Fig. 4 and caption; p. 4, suppression/recovery discussion The same-target Ne6+ dipole, nondipole-linear and two-beam branches establish suppression and material but partial recovery; the figure does not impose exact pointwise recovery or a unique orbit implementation. |
| M1 | author manuscript pp. 3-4, Fig. 2, Eqs. (12)-(15) and reference-time discussion Trajectory/phase or equivalent case intervention must connect the helium signal to recollision dynamics, not just spectral appearance. |
| M2 | author manuscript p. 2, Eq. (1), displacement/width and interferometric-sensitivity paragraphs Relative magnetic displacement is small, but interferometric asymmetry is more sensitive than quadratic density/drop-off response; no exact scaling fit is compulsory. |
| M3, M4 | author manuscript pp. 1-2, Fig. 1(c-f), half-cycle-asymmetry discussion; p. 4, Fig. 3 Longitudinal ellipticity changes sign with half-cycle while magnetic drift does not, unbalancing returns and enabling parity-sensitive interference. |
| M5, M6, M7 | author manuscript pp. 4-5, Fig. 4, recovery and compensation discussion Forward magnetic drift suppresses recollision and geometry partly compensates one half-cycle; probe and control are independent chains that must both support the synthesis. |
| M8, V1, V2 | author manuscript pp. 4-5, relativistic-treatment warning and macroscopic phase-matching paragraphs Proof of single-atom first-order control does not predict fully relativistic cutoff, macroscopic yield or optimized propagation. Actual t-prime, polarization and dipole risks are conditional, not universal extra checks. |
Formula and convention notes
Source-numbered identities below are paraphrased mathematically. Explicit algebraic consequences and accepted model-conditioned representations are identified as such; they do not add a required solver, plot or validation recipe.
To first order in spatial gradients, $H_L=p^2/2+\mathbf r\cdot\mathbf F+\mathbf r\cdot\nabla\mathbf A\cdot\mathbf p+V_0$ (Eq. (8)). The kinematic momentum is $\boldsymbol\pi(\mathbf p,t,t^{\prime})=\mathbf p+\mathbf A(t)-\int_{t^{\prime}}^t\nabla\mathbf A(\tau)\cdot[\mathbf p+\mathbf A(\tau)]d\tau$ (Eq. (13)); for the multiple-beam secular term the lower time is the ionization time, not an arbitrary discarded constant.
The continuum action is $S(\mathbf p,t,t^{\prime})=I_p(t-t^{\prime})+\tfrac12\int_{t^{\prime}}^t\pi^2(\mathbf p,\tau,t^{\prime})d\tau$ (Eq. (15)), with the compatible dipole/Fourier conjugation in Eq. (14). Compare $S_\perp(\omega)\propto\omega^4(|\widetilde D_x|^2+|\widetilde D_y|^2)$ or a consistently converted acceleration equivalent, excluding z-polarized emission as specified by Figs. 3-4.
The displacement/width ratio scales as $\zeta=d/\Delta x\propto(2I_p)^{1/4}F^{3/2}/(2c\omega^2)$ (Eq. (1)); ordinary density changes are quadratic while the symmetry-breaking interferometric response can be linear in the small displacement. This explains sensitivity, not a mandatory fitted exponent.
The task fixes $I_p(\mathrm{He})=0.90357$ a.u. and $I_p(\mathrm{Ne}^{6+}\to\mathrm{Ne}^{7+})=7.61707$ a.u. A fully specified physically defensible SAE dipole is accepted at those thresholds; a hydrogenic effective-1s dipole is one allowed choice, not the uniquely source-prescribed atom.
Scope of the source anchors
Figure panels, displayed source coordinates, curve multipliers, numerical grids and named controls are reference examples, not compulsory submission layouts or hidden pointwise targets. Equivalent evidence must preserve the actual physical observable, case, relative scale and discriminating function. Correct data, candidate identification, causal explanation and risk resolution are separate evidential acts. Existing branch-local dependencies, applicability/N/A and descriptive Research Closure rules remain in the case rubric.