Probing the response of metals to low-frequency s-polarized evanescent fields

Mostepanenko, V. M.; Svetovoy, V. B.

doi:10.1209/0295-5075/ac8c69

Cited by 11 publications

(14 citation statements)

References 61 publications

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“…Despite the fact that there are many experiments mentioned above, which demonstrate the failure of the Drude model resulting from the region of transverse electric evanescent waves, it would be highly desirable to perform one more independent test disconnected with the Casimir effect. Recently such an alternative test in the field of classical electrodynamics was proposed in [59,71]. It was shown that the lateral components of magnetic field of an oscillating magnetic dipole spaced in the proximity of metallic plate are determined by solely the transverse electric evanescent waves.…”

Section: Discussion: Failure Of the Drude Model For Transverse Electr...mentioning

confidence: 99%

Casimir Effect Invalidates the Drude Model for Transverse Electric Evanescent Waves

Klimchitskaya,

Mostepanenko

2023

Physics

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We consider the Casimir pressure between two metallic plates and calculate the four contributions to it determined by the propagating and evanescent waves and by the transverse magnetic and transverse electric polarizations of the electromagnetic field. The range of interplate separations is considered where nearly the whole pressure has its origin in the electromagnetic response of conduction electrons. In the Casimir physics, this response is described either by the dissipative Drude model resulting in contradictions with the measurement data or by the experimentally consistent but dissipationless plasma model. It is shown that the total transverse magnetic contribution to the Casimir pressure due to both the propagating and evanescent waves and the transverse electric contribution due to only the propagating waves, computed by means of the Drude model, correlate well with the corresponding results obtained using the plasma model. We conclude that the disagreement between the theoretical predictions obtained using the Drude model and precision measurements of the Casimir force is not caused by the account of dissipation in itself, but arises from an incorrect description of the response of metals to the low-frequency transverse electric evanescent waves by this model. It is demonstrated that the Drude model has no supporting experimental evidence in the range of transverse electric evanescent waves, so that the above conclusion is consistent with all available information. The alternative test of the Drude model for the transverse electric evanescent waves suggested in the framework of classical electrodynamics is discussed.

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Section: Discussion: Failure Of the Drude Model For Transverse Electr...mentioning

confidence: 99%

Casimir Effect Invalidates the Drude Model for Transverse Electric Evanescent Waves

Klimchitskaya,

Mostepanenko

2023

Physics

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“…The brief presentation of the part of obtained results related to the lateral component of the field of magnetic dipole is published in the form of a letter in [73].…”

Section: Introductionmentioning

confidence: 99%

Experimentum crucis for Electromagnetic Response of Metals to Evanescent Waves and the Casimir Puzzle

Mostepanenko

Svetovoy

2022

Universe

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It is well known that the Casimir force calculated at large separations using the Lifshitz theory differs by a factor of 2 for metals described by the Drude or plasma models. We argue that this difference is entirely determined by the contribution of transverse electric (s) evanescent waves. Taking into account that there is a lack of experimental information on the electromagnetic response of metals to low-frequency evanescent waves, we propose an experiment on measuring the magnetic field of an oscillating magnetic dipole spaced in a vacuum above a thick metallic plate. According to our results, the lateral components of this field are governed by the transverse electric evanescent waves and may vary by orders of magnitude depending on the model describing the permittivity of the plates used in calculations and the oscillation frequency of the magnetic dipole. Measuring the lateral component of the magnetic field for typical parameters of the magnetic dipole designed in the form of a 1-mm coil, one could either validate or disprove the applicability of the Drude model as a response function of metal in the range of low-frequency evanescent waves. This will elucidate the roots of the Casimir puzzle lying in the fact that the theoretical predictions of the Lifshitz theory using the Drude model are in contradiction with the high-precision measurements of the Casimir force at separations exceeding 150 nm. Possible implications of the suggested experiment for a wide range of topics in optics and condensed matter physics dealing with evanescent waves are discussed.

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Section: Discussionmentioning

confidence: 99%

“…It was hypothesized that the above problems derive from the fact that the Drude model is not applicable in the area of the low-frequency s-polarized evanescent waves, where it has no sufficient experimental confirmation [69,70]. An experiment was proposed allowing one to check this hypothesis [69,70]. The possible resolution of the problem might be found in the search for spatially nonlocal generalizations of the Drude model at low frequencies [71,72].…”

Section: Discussionmentioning

confidence: 99%

Comparison of the Lifshitz Theory Using the Nonconventional Fit of Response Functions with Precise Measurements of the Casimir Force

Mostepanenko

2023

Symmetry

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It is known that the fundamental Lifshitz theory, which is based on the first principles of thermal quantum field theory, experiences difficulties when compared with precise measurements of the Casimir force. We analyzed the nonconventional fit of the response functions of many materials along the imaginary frequency axis to the empirical model of “modified” oscillators, which was recently proposed in the literature. According to our results, this model is unacceptable because at high frequencies it leads to the asymptotic behavior of the response functions, which is in contradiction with that following from the fundamental physical principles. We calculated the Casimir interaction in the configurations of several precise experiments using the Lifshitz theory and the response functions to the quantized electromagnetic field expressed in terms of modified oscillators and demonstrated that the obtained results are excluded by the measurement data. This invalidated a claim made in the literature that the Casimir–van der Waals forces calculated using these response functions are in remarkable agreement with the experimental values. Possible reasons for a disagreement between experiment and theory are discussed, and the way to improve the situation is indicated.

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Probing the response of metals to low-frequency s-polarized evanescent fields

Cited by 11 publications

References 61 publications

Casimir Effect Invalidates the Drude Model for Transverse Electric Evanescent Waves

Casimir Effect Invalidates the Drude Model for Transverse Electric Evanescent Waves

Experimentum crucis for Electromagnetic Response of Metals to Evanescent Waves and the Casimir Puzzle

Comparison of the Lifshitz Theory Using the Nonconventional Fit of Response Functions with Precise Measurements of the Casimir Force

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