Comprehensive analysis of the optical Kerr coefficient of graphene

Soh, Daniel B. S.; Hamerly, Ryan; Mabuchi, Hideo

doi:10.1103/PhysRevA.94.023845

Title: 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:

Soh, Daniel B. S. ^[1]; Hamerly, Ryan ^[2]; Mabuchi, Hideo ^[2]

Stanford Univ., Stanford, CA (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Stanford Univ., Stanford, CA (United States)

Publication Date:: Thu Aug 25 00:00:00 EDT 2016

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.

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                    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

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                    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.

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@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}

}

Copy to clipboard

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Title: Comprehensive analysis of the optical Kerr coefficient of graphene

Abstract

Citation Formats

Dynamical polarization of graphene at finite doping journal, December 2006

Regenerative oscillation and four-wave mixing in graphene optoelectronics journal, July 2012

Observation of quantum state collapse and revival due to the single-photon Kerr effect journal, March 2013

Stark Effect in Rapidly Varying Fields journal, October 1955

Third order optical nonlinearity of graphene journal, May 2014

Third harmonic generation in graphene and few-layer graphite films journal, March 2013

Purely Coherent Nonlinear Optical Response in Solution Dispersions of Graphene Sheets journal, December 2011

Graphene photonics and optoelectronics journal, August 2010

Coherent Nonlinear Optical Response of Graphene journal, August 2010

The electronic properties of graphene journal, January 2009

Single-photon all-optical switching using waveguide-cavity quantum electrodynamics journal, October 2006

Z-scan measurement of the nonlinear refractive index of graphene journal, January 2012

Dispersion of bound electron nonlinear refraction in solids journal, June 1991

Optical Second Harmonic Generation in Piezoelectric Crystals journal, July 1964

�ber eine Klasse von L�sungen der Diracschen Gleichung journal, March 1935

Optical Third-Harmonic Generation in Graphene journal, June 2013

Current injection by coherent one- and two-photon excitation in graphene and its bilayer journal, May 2011

Universal Optical Conductance of Graphite journal, March 2008

Quantum theory of third-harmonic generation in graphene journal, December 2014

Graphene Photonics, Plasmonics, and Broadband Optoelectronic Devices journal, May 2012

2D Materials for Optical Modulation: Challenges and Opportunities journal, February 2017

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Optical nonlinearities of excitons in monolayer MoS 2 journal, April 2018

Improved third-order nonlinear effect in graphene based on bound states in the continuum journal, January 2017

All-optical modulation with 2D layered materials: status and prospects journal, February 2020

All-Optical Ultra-Fast Graphene-Photonic Crystal Switch journal, September 2019

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Dynamical polarization of graphene at finite doping
journal, December 2006

Regenerative oscillation and four-wave mixing in graphene optoelectronics
journal, July 2012

Observation of quantum state collapse and revival due to the single-photon Kerr effect
journal, March 2013

Stark Effect in Rapidly Varying Fields
journal, October 1955

Third order optical nonlinearity of graphene
journal, May 2014

Third harmonic generation in graphene and few-layer graphite films
journal, March 2013

Purely Coherent Nonlinear Optical Response in Solution Dispersions of Graphene Sheets
journal, December 2011

Graphene photonics and optoelectronics
journal, August 2010

Coherent Nonlinear Optical Response of Graphene
journal, August 2010

The electronic properties of graphene
journal, January 2009

Single-photon all-optical switching using waveguide-cavity quantum electrodynamics
journal, October 2006

Z-scan measurement of the nonlinear refractive index of graphene
journal, January 2012

Dispersion of bound electron nonlinear refraction in solids
journal, June 1991

Optical Second Harmonic Generation in Piezoelectric Crystals
journal, July 1964

�ber eine Klasse von L�sungen der Diracschen Gleichung
journal, March 1935

Optical Third-Harmonic Generation in Graphene
journal, June 2013

Current injection by coherent one- and two-photon excitation in graphene and its bilayer
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Universal Optical Conductance of Graphite
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Quantum theory of third-harmonic generation in graphene
journal, December 2014

Graphene Photonics, Plasmonics, and Broadband Optoelectronic Devices
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2D Materials for Optical Modulation: Challenges and Opportunities
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Efficient All‐Optical Plasmonic Modulators with Atomically Thin Van Der Waals Heterostructures
journal, February 2020

2D Layered Materials: Synthesis, Nonlinear Optical Properties, and Device Applications
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