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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:
 [1];  [2];  [2]
  1. Stanford Univ., Stanford, CA (United States); Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. 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
Report Number(s):
SAND-2016-7759J
Journal ID: ISSN 2469-9926; PLRAAN; 646517
Grant/Contract Number:
AC04-94AL85000
Resource Type:
Journal Article: 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. doi:10.1103/PhysRevA.94.023845.
Soh, Daniel B. S., Hamerly, Ryan, and Mabuchi, Hideo. 2016. "Comprehensive analysis of the optical Kerr coefficient of graphene". United States. doi: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 = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
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