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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.07240 |
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| _version_ | 1866915485745938432 |
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| author | Das, T. Alam, D. Ullrich, C. A. Jentschura, U. D. |
| author_facet | Das, T. Alam, D. Ullrich, C. A. Jentschura, U. D. |
| contents | Calcium fluoride (fluorspar, CaF2 ) is of consummate importance for the manufacturing of optical components. In many cases, its wide transmission band eliminates the need for antireflective coatings. It is thus of interest to study its optical properties as a function of temperature. The optical properties are mainly determined by a strongly temperature-dependent infrared (IR) peak, and a series of nearly temperature-independent ultraviolet (UV) peaks. We find that the temperature dependence of the IR peak can be modeled, to good accuracy, by a radiation-reaction improved coupled-oscillator model, with temperature-dependent parameters. For the UV peaks, we find a convenient functional form which covers both the real as well as the imaginary parts of the dielectric function and provide a comparison to first-principles calculations. The result is a compact functional form for the dielectric function of undoped CaF2 in the frequency range 0 < omega < 1.8 a.u., and in the temperature range 22Celsius < T < 500Celsius. With the help of the temperature-dependent dielectric function, we obtain temperature-dependent values of the short-range and long-range asymptotics of atom-surface interactions with CaF2, for hydrogen, as well as ground-state and metastable helium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Temperature-Dependent Dielectric Function of Calcium Fluoride Das, T. Alam, D. Ullrich, C. A. Jentschura, U. D. Materials Science Calcium fluoride (fluorspar, CaF2 ) is of consummate importance for the manufacturing of optical components. In many cases, its wide transmission band eliminates the need for antireflective coatings. It is thus of interest to study its optical properties as a function of temperature. The optical properties are mainly determined by a strongly temperature-dependent infrared (IR) peak, and a series of nearly temperature-independent ultraviolet (UV) peaks. We find that the temperature dependence of the IR peak can be modeled, to good accuracy, by a radiation-reaction improved coupled-oscillator model, with temperature-dependent parameters. For the UV peaks, we find a convenient functional form which covers both the real as well as the imaginary parts of the dielectric function and provide a comparison to first-principles calculations. The result is a compact functional form for the dielectric function of undoped CaF2 in the frequency range 0 < omega < 1.8 a.u., and in the temperature range 22Celsius < T < 500Celsius. With the help of the temperature-dependent dielectric function, we obtain temperature-dependent values of the short-range and long-range asymptotics of atom-surface interactions with CaF2, for hydrogen, as well as ground-state and metastable helium. |
| title | Temperature-Dependent Dielectric Function of Calcium Fluoride |
| topic | Materials Science |
| url | https://arxiv.org/abs/2509.07240 |