## This content will become publicly available on May 21, 2020

# Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain

- Authors:

- Publication Date:

- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

- OSTI Identifier:
- 1515101

- Grant/Contract Number:
- FG02-96ER14646

- Resource Type:
- Publisher's Accepted Manuscript

- Journal Name:
- Physical Review A

- Additional Journal Information:
- Journal Name: Physical Review A Journal Volume: 99 Journal Issue: 5; Journal ID: ISSN 2469-9926

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

### Citation Formats

```
Vikartofsky, Andrew, Jahns, Ethan C., and Starace, Anthony F. Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain. United States: N. p., 2019.
Web. doi:10.1103/PhysRevA.99.053832.
```

```
Vikartofsky, Andrew, Jahns, Ethan C., & Starace, Anthony F. Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain. United States. doi:10.1103/PhysRevA.99.053832.
```

```
Vikartofsky, Andrew, Jahns, Ethan C., and Starace, Anthony F. Wed .
"Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain". United States. doi:10.1103/PhysRevA.99.053832.
```

```
@article{osti_1515101,
```

title = {Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain},

author = {Vikartofsky, Andrew and Jahns, Ethan C. and Starace, Anthony F.},

abstractNote = {},

doi = {10.1103/PhysRevA.99.053832},

journal = {Physical Review A},

number = 5,

volume = 99,

place = {United States},

year = {2019},

month = {5}

}

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Works referenced in this record:

##
Twisted photons

journal, May 2007

- Molina-Terriza, Gabriel; Torres, Juan P.; Torner, Lluis
- Nature Physics, Vol. 3, Issue 5

##
The Formula of Faa Di Bruno

journal, December 1980

- Roman, Steven
- The American Mathematical Monthly, Vol. 87, Issue 10

##
Generation and Applications of Extreme-Ultraviolet Vortices

journal, April 2017

- Hernández-García, Carlos; Vieira, Jorge; Mendonça, Jose
- Photonics, Vol. 4, Issue 4

##
Creating High-Harmonic Beams with Controlled Orbital Angular Momentum

journal, October 2014

- Gariepy, Genevieve; Leach, Jonathan; Kim, Kyung Taec
- Physical Review Letters, Vol. 113, Issue 15

##
From Ford to Faà

journal, June 2001

- Flanders, Harley
- The American Mathematical Monthly, Vol. 108, Issue 6

##
Gaussian beam propagation beyond the paraxial approximation

journal, January 1979

- Agrawal, G. P.; Pattanayak, D. N.
- Journal of the Optical Society of America, Vol. 69, Issue 4

##
Faà di Bruno's formula, lattices, and partitions

journal, June 2005

- Encinas, L. Hernández; del Rey, A. Martín; Masqué, J. Muñoz
- Discrete Applied Mathematics, Vol. 148, Issue 3

##
Perturbative representation of ultrashort nonparaxial elegant Laguerre-Gaussian fields

journal, October 2018

- Vikartofsky, Andrew; Starace, Anthony F.; Pi, Liang-Wen
- Physical Review A, Vol. 98, Issue 4

##
Space-time profiles of an ultrashort pulsed Gaussian beam

journal, April 1997

- Zhongyang Wang,
- IEEE Journal of Quantum Electronics, Vol. 33, Issue 4

##
Virtual source for a Laguerre–Gauss beam

journal, January 2002

- Seshadri, S. R.
- Optics Letters, Vol. 27, Issue 21

##
Higher-order complex source for elegant Laguerre–Gaussian waves

journal, January 2004

- Bandres, Miguel A.; Gutiérrez-Vega, Julio C.
- Optics Letters, Vol. 29, Issue 19

##
Beam modes beyond the paraxial approximation: A scalar treatment

journal, April 1998

- Sheppard, C. J. R.; Saghafi, S.
- Physical Review A, Vol. 57, Issue 4

##
Fields of a Gaussian beam beyond the paraxial approximation

journal, September 2006

- Salamin, Y. I.
- Applied Physics B, Vol. 86, Issue 2

##
Orbital angular momentum: origins, behavior and applications

journal, January 2011

- Yao, Alison M.; Padgett, Miles J.
- Advances in Optics and Photonics, Vol. 3, Issue 2

##
Fifth‐order corrected electromagnetic field components for a fundamental Gaussian beam

journal, October 1989

- Barton, J. P.; Alexander, D. R.
- Journal of Applied Physics, Vol. 66, Issue 7

##
Spatiotemporal structure of isodiffracting ultrashort electromagnetic pulses

journal, January 2000

- Feng, Simin; Winful, Herbert G.
- Physical Review E, Vol. 61, Issue 1

##
Theory of electromagnetic beams

journal, March 1979

- Davis, L. W.
- Physical Review A, Vol. 19, Issue 3

##
The Curious History of Faà di Bruno's Formula

journal, March 2002

- Johnson, Warren P.
- The American Mathematical Monthly, Vol. 109, Issue 3

##
From Maxwell to paraxial wave optics

journal, April 1975

- Lax, Melvin; Louisell, William H.; McKnight, William B.
- Physical Review A, Vol. 11, Issue 4

##
Nonperturbative Twist in the Generation of Extreme-Ultraviolet Vortex Beams

journal, October 2016

- Rego, Laura; Román, Julio San; Picón, Antonio
- Physical Review Letters, Vol. 117, Issue 16

##
Free-space propagation of ultrashort pulses: Space-time couplings in Gaussian pulse beams

journal, November 1999

- Caron, C. F. R.; Potvliege, R. M.
- Journal of Modern Optics, Vol. 46, Issue 13