TY - JOUR

T1 - Bulk and surface dielectric response of a superlattice with an arbitrary varying dielectric function

T2 - A general analytical solution in the local theory in the long-wave limit

AU - Nazarov, V. U.

PY - 1994

Y1 - 1994

N2 - We present an analytical solution for the dielectric response of infinite and semi-infinite superlattices with the constituent dielectric function ε(ω,z) being an arbitrary periodic function of one coordinate z. The long-wave limit in the local theory is used. All results are expressed in terms of the two bulk quantities, namely, the average over one period of the functions ε(ω,z) and 1/ε(ω,z). The damping of the bulk and the surface plasmon modes specific for superlattices with a continuously varying constituent dielectric function is obtained and discussed. Our theory provides deeper insight into the role of the local-field effects in the dielectric response of a superlattice.

AB - We present an analytical solution for the dielectric response of infinite and semi-infinite superlattices with the constituent dielectric function ε(ω,z) being an arbitrary periodic function of one coordinate z. The long-wave limit in the local theory is used. All results are expressed in terms of the two bulk quantities, namely, the average over one period of the functions ε(ω,z) and 1/ε(ω,z). The damping of the bulk and the surface plasmon modes specific for superlattices with a continuously varying constituent dielectric function is obtained and discussed. Our theory provides deeper insight into the role of the local-field effects in the dielectric response of a superlattice.

UR - http://www.scopus.com/inward/record.url?scp=0004431291&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.49.17342

DO - 10.1103/PhysRevB.49.17342

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AN - SCOPUS:0004431291

SN - 0163-1829

VL - 49

SP - 17342

EP - 17350

JO - Physical Review B

JF - Physical Review B

IS - 24

ER -