Worked examples#

Full-size simulations of experimentally motivated configurations, each run to the length its physics needs and explained from the set-up to what to look for in the result. Unlike the focused demonstrations, these are not executed when the documentation is built: they take from seconds to a few hours each, so the pages, figures and printed output below are the stored result of their last run, and every page ends with the time that run took and the backend it used. To run one yourself, download the script from its page; to re-run and refresh them all in a checkout, use uv run poe docs-examples (see Contributing to solprop).

Nonlinear processes in gas-filled hollow-core fibres#

One process per example – self-phase modulation, soliton self-compression and dispersive-wave emission, four-wave mixing, cross-phase modulation, Raman and photoionisation-induced soliton frequency shifts – each a single deterministic run with the parameters of the survey figure in J. C. Travers, T. Grigorova, C. Brahms and F. Belli’s review of nonlinear optics in gas-filled hollow-core fibres, headed by the vacuum-ultraviolet dispersive wave that illustrates this package’s README. The last two compare the electronic responses of A frequency-dependent electronic response at full size: the helium dispersive wave, with one, two and four modes, and deep-ultraviolet four-wave mixing in argon over a pressure scan.

Vacuum-ultraviolet dispersive-wave emission in a gas-filled capillary

Self-phase modulation and post-compression

Soliton self-compression and ultraviolet dispersive-wave emission

Four-wave mixing into the vacuum ultraviolet

Cross-phase modulation in the deep ultraviolet

Raman soliton self-frequency shift in hydrogen

Photoionisation-induced soliton blue-shift

The vacuum-ultraviolet dispersive wave under a frequency-dependent Kerr response

Deep-ultraviolet four-wave mixing in argon under a frequency-dependent Kerr response

Supercontinuum generation#

The four mechanisms of supercontinuum generation in gas-filled hollow-core fibres – self-phase modulation, soliton self-compression and dispersive-wave emission, modulational instability, and Raman comb-to-continuum – with ensembles of noisy shots for the averaged spectrum, its relative intensity noise and its first-order coherence. The MI ensemble uses eight seeded shots over 0.4 m; the Raman comb-to-continuum example uses one seeded shot over 0.4 m and does not estimate ensemble coherence. The SPM and soliton examples use twenty shots. Measured runtimes and backends are reported on the individual pages; they depend on the problem and machine.

Supercontinuum by self-phase modulation

Supercontinuum by soliton self-compression, reaching the vacuum ultraviolet

Supercontinuum by modulational instability

Comb-to-continuum broadening in hydrogen

Waveguide physics#

Pressure-gradient compressors with a coherent capillary wall, mode conversion in tapers, the vector wall, multimode graded-index fibres, a moving solid guide and a planar compressor.