Comment on “Casimir force acting on magnetodielectric bodies embedded in media”

Brevik, Iver; Ellingsen, Simen Å.

doi:10.1103/physreva.79.027801

Cited by 17 publications

(13 citation statements)

References 32 publications

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“…We subtract the bulk part G (0) of the Green's tensor, which is connected to the position-independent Lamb shift [49] and does not contribute to forces between bodies, and only use the scattering part G (1) in the following: 1) . Performing a rotation on the complex frequency plane, extending the integral to a closed contour and then identifying the only non-vanishing contribution to be the residues connected to the enclosed poles, one finds the mean values of the two competing stress tensors with respect to the thermal electromagnetic field in a homogeneous medium These results have been found earlier by Brevik and Ellingsen [50]. The expectation value of the Maxwell stress tensor, a function of z, depends on the location within the medium.…”

Section: Appendixsupporting

confidence: 71%

“…While Lifshitz theory for Van der Waals forces in free space is conventionally generalised to media on the basis of the Abraham stress tensor [11,12] for the electromagnetic field [13], Raabe and Welsch had advocated the use of the Maxwell stress tensor as it could be shown to be equivalent to the Lorentz force and was able to predict a Casimir-induced pressure gradient within the intervening medium [14]. This idea had been challenged by several authors [15][16][17]. Some of us have recently given theoretical arguments in favour of the standard Abraham-based Lifshitz theory by showing its compatibility with microscopic calculations, which are at odds with the Maxwell-based Raabe-Welsch result [18].…”

Section: Introductionmentioning

confidence: 99%

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Comparison of theory and experiments on Van der Waals forces in media -- a survey

Burger¹,

Corkery²,

Buhmann³

et al. 2020

Preprint

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We present a critical overview comparing theoretical predictions and measurements of Van der Waals dispersion forces in media on the basis of the respective Hamaker constants. To quantify the agreement, we complement the reported experimental errors with those for the theoretical predictions, which are due to uncertainties in the underlying spectroscopic data. Our main finding is that the theoretical errors are often larger than their experimental counterparts. Within these uncertainties, the comparison confirms the standard Lifshitz theory based on the Abraham electromagnetic stress tensor against the recently suggested alternative account on the basis of the Maxwell stress tensor.

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Section: Appendixsupporting

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Comparison of theory and experiments on Van der Waals forces in media -- a survey

Burger¹,

Corkery²,

Buhmann³

et al. 2020

Preprint

View full text Add to dashboard Cite

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“…In the case of instantaneous polarization response and pointlike magnetic response, we find that eqn. (27) can be directly reduced to the same result as in eqn. (26), but scaled by µ 0 , since H has been replaced by B in the flux vector.…”

Section: Instantaneous and Pointlike Responsesmentioning

confidence: 99%

Four Poynting theorems

2009

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The Poynting vector is an invaluable tool for analysing electromagnetic problems. However, even a rigorous stress-energy tensor approach can still leave us with the question: is it best defined as E × H or as D × B? Typical electromagnetic treatments provide yet another perspective: they regard E × B as the appropriate definition, because E and B are taken to be the fundamental electromagnetic fields. The astute reader will even notice the fourth possible combination of fields: i.e. D × H. Faced with this diverse selection, we have decided to treat each possible flux vector on its merits, deriving its associated energy continuity equation but applying minimal restrictions to the allowed host media. We then discuss each form, and how it represents the response of the medium. Finally, we derive a propagation equation for each flux vector using a directional fields approach; a useful result which enables further interpretation of each flux and its interaction with the medium. Eur. J. Phys. 30, 983 (2009). 1 This arXiv version has updates not present in the published version. Published in

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“…This approach was adopted in Refs. [39,40] to calculate the Casimir(-Polder) forces, but disputed by Pitaevskii [42] and Brevik [43].…”

Section: Introductionmentioning

confidence: 99%

Casimir forces in multilayer magnetodielectrics with both gain and loss

et al. 2011

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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 relation to microscopic coupling functions are determined. By carefully relating the twopoint 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, also 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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Comment on “Casimir force acting on magnetodielectric bodies embedded in media”

Cited by 17 publications

References 32 publications

Comparison of theory and experiments on Van der Waals forces in media -- a survey

Comparison of theory and experiments on Van der Waals forces in media -- a survey

Four Poynting theorems

Casimir forces in multilayer magnetodielectrics with both gain and loss

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