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

Journal Article · Thu Aug 25 00:00:00 EDT 2016 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.94.023845· OSTI ID:1325713

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)

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.

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Research Organization:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1325713

Alternate ID(s):: OSTI ID: 1306699

Report Number(s):: SAND-2016-7759J; PLRAAN; 646517

Journal Information:: Physical Review A, Vol. 94, Issue 2; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 21 works

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Efficient All‐Optical Plasmonic Modulators with Atomically Thin Van Der Waals Heterostructures Guo, Xiangdong; Liu, Ruina; Hu, Debo Advanced Materials, Vol. 32, Issue 11 https://doi.org/10.1002/adma.201907105	journal	February 2020
2D Layered Materials: Synthesis, Nonlinear Optical Properties, and Device Applications Guo, Bo; Xiao, Quan‐lan; Wang, Shi‐hao Laser & Photonics Reviews, Vol. 13, Issue 12 https://doi.org/10.1002/lpor.201800327	journal	November 2019
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Optical nonlinearities of excitons in monolayer ${MoS}_{2}$ Soh, Daniel B. S.; Rogers, Christopher; Gray, Dodd J. Physical Review B, Vol. 97, Issue 16 https://doi.org/10.1103/physrevb.97.165111	journal	April 2018
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Nonlinear optics of graphene and other 2D materials in layered structures Cheng, J. L.; Sipe, J. E.; Vermeulen, N. arXiv https://doi.org/10.48550/arxiv.1808.02954	text	January 2018

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