Comprehensive analysis of the optical Kerr coefficient of graphene
Abstract
We present a comprehensive analysis of the nonlinear optical Kerr effect in graphene. We directly solve the S-matrix element to calculate the absorption rate, utilizing the Volkov-Keldysh-type crystal wave functions. We then convert to the nonlinear refractive index coefficients through the Kramers-Kronig relation. In this formalism, the source of Kerr nonlinearity is the interplay of optical fields that cooperatively drive the transition from valence to conduction band. This formalism makes it possible to identify and compute the rates of distinct nonlinear processes that contribute to the Kerr nonlinear refractive index coefficient. The four identified mechanisms are two-photon absorption, Raman transition, self-coupling, and quadratic ac Stark effect. As a result, we present a comparison of our theory with recent experimental and theoretical results.
- Authors:
-
- Stanford Univ., Stanford, CA (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1325713
- Alternate Identifier(s):
- OSTI ID: 1306699
- Report Number(s):
- SAND-2016-7759J
Journal ID: ISSN 2469-9926; PLRAAN; 646517
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Soh, Daniel B. S., Hamerly, Ryan, and Mabuchi, Hideo. Comprehensive analysis of the optical Kerr coefficient of graphene. United States: N. p., 2016.
Web. doi:10.1103/PhysRevA.94.023845.
Soh, Daniel B. S., Hamerly, Ryan, & Mabuchi, Hideo. Comprehensive analysis of the optical Kerr coefficient of graphene. United States. https://doi.org/10.1103/PhysRevA.94.023845
Soh, Daniel B. S., Hamerly, Ryan, and Mabuchi, Hideo. Thu .
"Comprehensive analysis of the optical Kerr coefficient of graphene". United States. https://doi.org/10.1103/PhysRevA.94.023845. https://www.osti.gov/servlets/purl/1325713.
@article{osti_1325713,
title = {Comprehensive analysis of the optical Kerr coefficient of graphene},
author = {Soh, Daniel B. S. and Hamerly, Ryan and Mabuchi, Hideo},
abstractNote = {We present a comprehensive analysis of the nonlinear optical Kerr effect in graphene. We directly solve the S-matrix element to calculate the absorption rate, utilizing the Volkov-Keldysh-type crystal wave functions. We then convert to the nonlinear refractive index coefficients through the Kramers-Kronig relation. In this formalism, the source of Kerr nonlinearity is the interplay of optical fields that cooperatively drive the transition from valence to conduction band. This formalism makes it possible to identify and compute the rates of distinct nonlinear processes that contribute to the Kerr nonlinear refractive index coefficient. The four identified mechanisms are two-photon absorption, Raman transition, self-coupling, and quadratic ac Stark effect. As a result, we present a comparison of our theory with recent experimental and theoretical results.},
doi = {10.1103/PhysRevA.94.023845},
journal = {Physical Review A},
number = 2,
volume = 94,
place = {United States},
year = {Thu Aug 25 00:00:00 EDT 2016},
month = {Thu Aug 25 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Dynamical polarization of graphene at finite doping
journal, December 2006
- Wunsch, B.; Stauber, T.; Sols, F.
- New Journal of Physics, Vol. 8, Issue 12
Regenerative oscillation and four-wave mixing in graphene optoelectronics
journal, July 2012
- Gu, T.; Petrone, N.; McMillan, J. F.
- Nature Photonics, Vol. 6, Issue 8
Observation of quantum state collapse and revival due to the single-photon Kerr effect
journal, March 2013
- Kirchmair, Gerhard; Vlastakis, Brian; Leghtas, Zaki
- Nature, Vol. 495, Issue 7440
Stark Effect in Rapidly Varying Fields
journal, October 1955
- Autler, S. H.; Townes, C. H.
- Physical Review, Vol. 100, Issue 2
Third order optical nonlinearity of graphene
journal, May 2014
- Cheng, J. L.; Vermeulen, N.; Sipe, J. E.
- New Journal of Physics, Vol. 16, Issue 5
Third harmonic generation in graphene and few-layer graphite films
journal, March 2013
- Kumar, Nardeep; Kumar, Jatinder; Gerstenkorn, Chris
- Physical Review B, Vol. 87, Issue 12
Purely Coherent Nonlinear Optical Response in Solution Dispersions of Graphene Sheets
journal, December 2011
- Wu, Rui; Zhang, Yingli; Yan, Shichao
- Nano Letters, Vol. 11, Issue 12
Graphene photonics and optoelectronics
journal, August 2010
- Bonaccorso, F.; Sun, Z.; Hasan, T.
- Nature Photonics, Vol. 4, Issue 9
Coherent Nonlinear Optical Response of Graphene
journal, August 2010
- Hendry, E.; Hale, P. J.; Moger, J.
- Physical Review Letters, Vol. 105, Issue 9
The electronic properties of graphene
journal, January 2009
- Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
- Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
Single-photon all-optical switching using waveguide-cavity quantum electrodynamics
journal, October 2006
- Bermel, Peter; Rodriguez, Alejandro; Johnson, Steven G.
- Physical Review A, Vol. 74, Issue 4
Z-scan measurement of the nonlinear refractive index of graphene
journal, January 2012
- Zhang, Han; Virally, Stéphane; Bao, Qiaoliang
- Optics Letters, Vol. 37, Issue 11
Dispersion of bound electron nonlinear refraction in solids
journal, June 1991
- Sheik-Bahae, M.; Hutchings, D. C.; Hagan, D. J.
- IEEE Journal of Quantum Electronics, Vol. 27, Issue 6
Optical Second Harmonic Generation in Piezoelectric Crystals
journal, July 1964
- Miller, Robert C.
- Applied Physics Letters, Vol. 5, Issue 1
�ber eine Klasse von L�sungen der Diracschen Gleichung
journal, March 1935
- Wolkow, D. M.
- Zeitschrift f�r Physik, Vol. 94, Issue 3-4
Optical Third-Harmonic Generation in Graphene
journal, June 2013
- Hong, Sung-Young; Dadap, Jerry I.; Petrone, Nicholas
- Physical Review X, Vol. 3, Issue 2
Current injection by coherent one- and two-photon excitation in graphene and its bilayer
journal, May 2011
- Rioux, J.; Burkard, Guido; Sipe, J. E.
- Physical Review B, Vol. 83, Issue 19
Universal Optical Conductance of Graphite
journal, March 2008
- Kuzmenko, A. B.; van Heumen, E.; Carbone, F.
- Physical Review Letters, Vol. 100, Issue 11
Quantum theory of third-harmonic generation in graphene
journal, December 2014
- Mikhailov, S. A.
- Physical Review B, Vol. 90, Issue 24
Graphene Photonics, Plasmonics, and Broadband Optoelectronic Devices
journal, May 2012
- Bao, Qiaoliang; Loh, Kian Ping
- ACS Nano, Vol. 6, Issue 5
Works referencing / citing this record:
2D Materials for Optical Modulation: Challenges and Opportunities
journal, February 2017
- Yu, Shaoliang; Wu, Xiaoqin; Wang, Yipei
- Advanced Materials, Vol. 29, Issue 14
Efficient All‐Optical Plasmonic Modulators with Atomically Thin Van Der Waals Heterostructures
journal, February 2020
- Guo, Xiangdong; Liu, Ruina; Hu, Debo
- Advanced Materials, Vol. 32, Issue 11
2D Layered Materials: Synthesis, Nonlinear Optical Properties, and Device Applications
journal, November 2019
- Guo, Bo; Xiao, Quan‐lan; Wang, Shi‐hao
- Laser & Photonics Reviews, Vol. 13, Issue 12
Mid‐Infrared Photonics Using 2D Materials: Status and Challenges
journal, December 2019
- Fang, Yuanrong; Ge, Yanqi; Wang, Cong
- Laser & Photonics Reviews, Vol. 14, Issue 1
Nonlinear multi-frequency electromagnetic wave propagation phenomena
journal, September 2017
- Valovik, Dmitry V.
- Journal of Optics, Vol. 19, Issue 11
Nonlinear optics of graphene and other 2D materials in layered structures
journal, December 2018
- Cheng, J. L.; Sipe, J. E.; Vermeulen, N.
- Journal of Physics: Photonics, Vol. 1, Issue 1
Optical nonlinearities of excitons in monolayer
journal, April 2018
- Soh, Daniel B. S.; Rogers, Christopher; Gray, Dodd J.
- Physical Review B, Vol. 97, Issue 16
Improved third-order nonlinear effect in graphene based on bound states in the continuum
journal, January 2017
- Wang, Tiecheng; Zhang, Xiangdong
- Photonics Research, Vol. 5, Issue 6
All-optical modulation with 2D layered materials: status and prospects
journal, February 2020
- Chen, Haitao; Wang, Cong; Ouyang, Hao
- Nanophotonics, Vol. 9, Issue 8
All-Optical Ultra-Fast Graphene-Photonic Crystal Switch
journal, September 2019
- Jalali Azizpour, Mohammad Reza; Soroosh, Mohammad; Dalvand, Narges
- Crystals, Vol. 9, Issue 9
Nonlinear optics of graphene and other 2D materials in layered structures
text, January 2018
- Cheng, J. L.; Sipe, J. E.; Vermeulen, N.
- arXiv