# Group-phase Velocity Difference and THz Oscillation of the Nonlinear Refractive Index in Air: Particle-like Solutions

## Abstract

We present an analytical approach to the theory of optical pulses with superbroad spectrum propagated in air. The corresponding modified amplitude envelope equation admits oscillated with terahertz frequency nonlinear term The fluctuation is due to the group and phase velocity difference. In the partial case of femtosecond pulses with power, little above the critical for self-focusing, exact (3+1)D particle-like solution is found.

- Authors:

- Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradcko chaussee Blvd., 1784 Sofia (Bulgaria)

- Publication Date:

- OSTI Identifier:
- 21325582

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1186; Journal Issue: 1; Conference: 1. international conference on applications of mathematics in technical and natural sciences, Sozopol (Bulgaria), 22-27 Jun 2009; Other Information: DOI: 10.1063/1.3265363; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AIR; AMPLITUDES; FLUCTUATIONS; INTEGRO-DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; OSCILLATIONS; PHASE VELOCITY; POLARIZATION; PULSES; REFRACTIVE INDEX; THZ RANGE

### Citation Formats

```
Kovachev, L. M..
```*Group-phase Velocity Difference and THz Oscillation of the Nonlinear Refractive Index in Air: Particle-like Solutions*. United States: N. p., 2009.
Web. doi:10.1063/1.3265363.

```
Kovachev, L. M..
```*Group-phase Velocity Difference and THz Oscillation of the Nonlinear Refractive Index in Air: Particle-like Solutions*. United States. doi:10.1063/1.3265363.

```
Kovachev, L. M.. Thu .
"Group-phase Velocity Difference and THz Oscillation of the Nonlinear Refractive Index in Air: Particle-like Solutions". United States.
doi:10.1063/1.3265363.
```

```
@article{osti_21325582,
```

title = {Group-phase Velocity Difference and THz Oscillation of the Nonlinear Refractive Index in Air: Particle-like Solutions},

author = {Kovachev, L. M.},

abstractNote = {We present an analytical approach to the theory of optical pulses with superbroad spectrum propagated in air. The corresponding modified amplitude envelope equation admits oscillated with terahertz frequency nonlinear term The fluctuation is due to the group and phase velocity difference. In the partial case of femtosecond pulses with power, little above the critical for self-focusing, exact (3+1)D particle-like solution is found.},

doi = {10.1063/1.3265363},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1186,

place = {United States},

year = {Thu Oct 29 00:00:00 EDT 2009},

month = {Thu Oct 29 00:00:00 EDT 2009}

}

DOI: 10.1063/1.3265363

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.