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A theory of multiple photon absorption by graphene in intense laser fields
Author(s) -
Faisal Farhad H. M.
Publication year - 2013
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201200174
Subject(s) - physics , photon , absorption (acoustics) , graphene , atomic physics , two photon absorption , bessel function , laser , field (mathematics) , quantum electrodynamics , quantum mechanics , optics , mathematics , pure mathematics
A theoretical analysis of multiple photon absorption by Dirac fermions in graphene subjected to intense laser fields is made. An analytic expression for the probability of n ‐photon absorption is derived. It shows that the fundamental functional dependence of n photon absorption rate is governed by a Bessel function of order n ,J n ( g cos ( ϕ p − θ 0 ) ) , where g = 2 v Fe F ℏ ω 2, v F is the Fermi‐velocity, F is the peak field strength, ω is the frequency; ϕ p and θ 0 are the polar angles of the fermion momentum and the laser polarization, respectively. The result is used to investigate the rate of n photon absorption in the THz and the near‐infrared domains and both in the weak‐field perturbative, and the strong‐field non‐perturbative intensity regimes. Formation of an n ‐photon absorption plateau followed by an exponential cut‐off beyond n = n c u t − o f f ≈ g is also predicted to occur.