The light filament as a new nonlinear polarization state

Lubomir M. Kovachev

RECORD

The light filament as a new nonlinear polarization state

Lubomir M. Kovachev

Optics · Submitted 11 Jul 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We found that this system of nonlinear equations has $3D+1$ vector soliton solutions with Lorentz shape.

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,421 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.14 · states limitation 0.34 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.79 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We present an analytical approach to the theory of nonlinear propagation in gases of femtosecond optical pulses with broad-band spectrum . The vector character of the nonlinear third-order polarization of the electrical field in air is investigated in details. A new polarization state is presented by using left-hand and right-hand circular components of the electrical field . The corresponding system of vector amplitude equations is derived in the rotating basis. We found that this system of nonlinear equations has $3D+1$ vector soliton solutions with Lorentz shape. The solution presents a relatively stable propagation and rotation with GHz frequency of the vector of the electrical field in a plane orthogonal to the direction of propagation. The evolution of the intensity profile demonstrates a weak self-compression and a week spherical wave in the first milliseconds of propagation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present an analytical approach to the theory of nonlinear propagation in gases of femtosecond optical pulses with broad-band spectrum .	contribution 0.90	0.90	0.04	asserted 0.95
s1	The vector character of the nonlinear third-order polarization of the electrical field in air is investigated in details.	contribution 0.89	0.80	0.04	asserted 0.96
s2	A new polarization state is presented by using left-hand and right-hand circular components of the electrical field .	contribution 0.90	0.87	0.25	asserted 1.00
s3	The corresponding system of vector amplitude equations is derived in the rotating basis.	method 0.85	0.93	0.04	asserted 1.00
s4	We found that this system of nonlinear equations has $3D+1$ vector soliton solutions with Lorentz shape.	result 1.00	0.95	0.52	asserted 1.00
s5	The solution presents a relatively stable propagation and rotation with GHz frequency of the vector of the electrical field in a plane orthogonal to the direction of propagation.	result 0.98	0.84	0.35	asserted 1.00
s6	The evolution of the intensity profile demonstrates a weak self-compression and a week spherical wave in the first milliseconds of propagation.	result 1.00	0.85	0.09	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We present an analytical approach to the theory of nonlinear propagation in gases of femtosecond optical pulses with broad-band spectrum . The vector character of the nonlinear third-order polarization of the electrical field in air is investigated in details. A new polarization state is presented by using left-hand and right-hand circular components of the electrical field . The corresponding system of vector amplitude equations is derived in the rotating basis. We found that this system of nonlinear equations has $3D+1$ vector soliton solutions with Lorentz shape. The solution presents a relatively stable propagation and rotation with GHz frequency of the vector of the electrical field in a plane orthogonal to the direction of propagation. The evolution of the intensity profile demonstrates a weak self-compression and a week spherical wave in the first milliseconds of propagation.

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How each label was checked · JSON

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We found that this system nonlinear equations admits $3D+1$ vector soliton solution with Lorentz shape.

The light filament as vector solitary wave · 1.00

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