Casimir forces in multilayer magnetodielectrics with both gain and loss

Ehsan Amooghorban, Martijn Wubs, N. Asger Mortensen, Fardin Kheirandish

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

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Resumé

A path-integral approach to the quantization of the electromagnetic field in a linearly amplifying magnetodielectric medium is presented. Two continua of inverted harmonic oscillators are used to describe the polarizability and magnetizability of the amplifying medium. The causal susceptibilities of the amplifying medium, with negative imaginary parts in finite frequency intervals, are identified and their relationships to microscopic coupling functions are determined. By carefully relating the two-point functions of the field theory to the optical Green functions, we calculate the Casimir energy and Casimir forces for a multilayer magnetodielectric medium with both gain and loss. We point out the essential differences with a purely passive layered medium. For a single layer, we find different bounds on the Casimir force for fully amplifying and for lossy media. The force is attractive in both cases, even if the medium exhibits negative refraction. From our Lagrangian we also derive by canonical quantization the postulates of the phenomenological theory of amplifying magnetodielectrics.
OriginalsprogEngelsk
TidsskriftPhysical Review A
Vol/bind84
Udgave nummer1
Sider (fra-til)013806
ISSN2469-9926
DOI
StatusUdgivet - 2011
Udgivet eksterntJa

Fingeraftryk

lossy media
axioms
harmonic oscillators
refraction
electromagnetic fields
Green's functions
continuums
intervals
magnetic permeability
energy

Bibliografisk note

Copyright 2011 The American Physical Society (APS).

Citer dette

Amooghorban, Ehsan ; Wubs, Martijn ; Mortensen, N. Asger ; Kheirandish, Fardin. / Casimir forces in multilayer magnetodielectrics with both gain and loss. I: Physical Review A. 2011 ; Bind 84, Nr. 1. s. 013806.
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abstract = "A path-integral approach to the quantization of the electromagnetic field in a linearly amplifying magnetodielectric medium is presented. Two continua of inverted harmonic oscillators are used to describe the polarizability and magnetizability of the amplifying medium. The causal susceptibilities of the amplifying medium, with negative imaginary parts in finite frequency intervals, are identified and their relationships to microscopic coupling functions are determined. By carefully relating the two-point functions of the field theory to the optical Green functions, we calculate the Casimir energy and Casimir forces for a multilayer magnetodielectric medium with both gain and loss. We point out the essential differences with a purely passive layered medium. For a single layer, we find different bounds on the Casimir force for fully amplifying and for lossy media. The force is attractive in both cases, even if the medium exhibits negative refraction. From our Lagrangian we also derive by canonical quantization the postulates of the phenomenological theory of amplifying magnetodielectrics.",
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Casimir forces in multilayer magnetodielectrics with both gain and loss. / Amooghorban, Ehsan; Wubs, Martijn; Mortensen, N. Asger; Kheirandish, Fardin.

I: Physical Review A, Bind 84, Nr. 1, 2011, s. 013806.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Casimir forces in multilayer magnetodielectrics with both gain and loss

AU - Amooghorban, Ehsan

AU - Wubs, Martijn

AU - Mortensen, N. Asger

AU - Kheirandish, Fardin

N1 - Copyright 2011 The American Physical Society (APS).

PY - 2011

Y1 - 2011

N2 - A path-integral approach to the quantization of the electromagnetic field in a linearly amplifying magnetodielectric medium is presented. Two continua of inverted harmonic oscillators are used to describe the polarizability and magnetizability of the amplifying medium. The causal susceptibilities of the amplifying medium, with negative imaginary parts in finite frequency intervals, are identified and their relationships to microscopic coupling functions are determined. By carefully relating the two-point functions of the field theory to the optical Green functions, we calculate the Casimir energy and Casimir forces for a multilayer magnetodielectric medium with both gain and loss. We point out the essential differences with a purely passive layered medium. For a single layer, we find different bounds on the Casimir force for fully amplifying and for lossy media. The force is attractive in both cases, even if the medium exhibits negative refraction. From our Lagrangian we also derive by canonical quantization the postulates of the phenomenological theory of amplifying magnetodielectrics.

AB - A path-integral approach to the quantization of the electromagnetic field in a linearly amplifying magnetodielectric medium is presented. Two continua of inverted harmonic oscillators are used to describe the polarizability and magnetizability of the amplifying medium. The causal susceptibilities of the amplifying medium, with negative imaginary parts in finite frequency intervals, are identified and their relationships to microscopic coupling functions are determined. By carefully relating the two-point functions of the field theory to the optical Green functions, we calculate the Casimir energy and Casimir forces for a multilayer magnetodielectric medium with both gain and loss. We point out the essential differences with a purely passive layered medium. For a single layer, we find different bounds on the Casimir force for fully amplifying and for lossy media. The force is attractive in both cases, even if the medium exhibits negative refraction. From our Lagrangian we also derive by canonical quantization the postulates of the phenomenological theory of amplifying magnetodielectrics.

U2 - 10.1103/PhysRevA.84.013806

DO - 10.1103/PhysRevA.84.013806

M3 - Journal article

VL - 84

SP - 013806

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

SN - 2469-9926

IS - 1

ER -