AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES
<p>A detailed theoritical discussion based on an effective medium theory<br /> approach is presented for the surface phonon-polaritons and the corresponding<br /> attenuated total reflection (ATR) spectra of dielectric composites. Both ATR and<br /> the propagation of the sur...
Main Authors: | , |
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Format: | Article |
Published: |
[Yogyakarta] : Fakultas MIPA Universitas Gadjah Mada
2007
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author | , Cian Wijaya Kurniawidi , , Kamsul Abraha |
author_facet | , Cian Wijaya Kurniawidi , , Kamsul Abraha |
author_sort | , Cian Wijaya Kurniawidi |
collection | UGM |
description | <p>A detailed theoritical discussion based on an effective medium theory<br />
approach is presented for the surface phonon-polaritons and the corresponding<br />
attenuated total reflection (ATR) spectra of dielectric composites. Both ATR and<br />
the propagation of the surface polariton (SP) modes are govemed by the<br />
frequency-dependent effective permittivity which can be modeled and derived in<br />
accordance with the effective medium theory. In this work, four models (Maxwell-<br />
Garnett, Birchak, Polder van Santen and wagner models)for effective permittivity<br />
are considered to presenting the theoritical results with and without the<br />
implementation of the Wiener inequality imposed on effective permittivity.<br />
Generally, the effective permittivity for all models depends on the composite filling<br />
factor f. Derivation of the SP dispersion curves means first finding solutions of<br />
Maxwell's equations that decay away from the interface between air and the<br />
sample and second applying the usual electromagnetic boundary conditions to<br />
find the dispersion relation between the frequency and the wave vector k af the<br />
SP modes. Experimental detection of the SP modes is then suggested by the<br />
introduction of a prism so as to enable ATR measurements to be carried out in<br />
the Otto configuration, in which an air gap separates the prism from the sample<br />
by a distance d. The computed numerical results for the semi-infinite sample of<br />
the dielectric composite Ag-KCI lead to the conclusion tha~ the SP modes for<br />
some chosen values of f are all reciprocal for all models of effective permittivity in<br />
the sense that the change of wave vector direction does not change the<br />
frequency. It is also found that the implementation of the Wiener inequality on<br />
effective permittivity lead to the fact that the number of the SP modes reduces<br />
significantly. The numerical calculations for the associated ATR spectra of the<br />
sample are also presented which show that when the Wiener inequality is not<br />
imposed on effective permittivity then the strongest ATR dips for each model are<br />
obtained with different values of f. Meanwhile, the same value of f equally gives<br />
the srongest dips for ails models when the Wiener inequality is imposed on<br />
effective permittivity.</p> |
first_indexed | 2024-03-13T22:20:32Z |
format | Article |
id | oai:generic.eprints.org:93851 |
institution | Universiti Gadjah Mada |
last_indexed | 2024-03-13T22:20:32Z |
publishDate | 2007 |
publisher | [Yogyakarta] : Fakultas MIPA Universitas Gadjah Mada |
record_format | dspace |
spelling | oai:generic.eprints.org:938512014-11-28T07:36:11Z https://repository.ugm.ac.id/93851/ AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES , Cian Wijaya Kurniawidi , , Kamsul Abraha <p>A detailed theoritical discussion based on an effective medium theory<br /> approach is presented for the surface phonon-polaritons and the corresponding<br /> attenuated total reflection (ATR) spectra of dielectric composites. Both ATR and<br /> the propagation of the surface polariton (SP) modes are govemed by the<br /> frequency-dependent effective permittivity which can be modeled and derived in<br /> accordance with the effective medium theory. In this work, four models (Maxwell-<br /> Garnett, Birchak, Polder van Santen and wagner models)for effective permittivity<br /> are considered to presenting the theoritical results with and without the<br /> implementation of the Wiener inequality imposed on effective permittivity.<br /> Generally, the effective permittivity for all models depends on the composite filling<br /> factor f. Derivation of the SP dispersion curves means first finding solutions of<br /> Maxwell's equations that decay away from the interface between air and the<br /> sample and second applying the usual electromagnetic boundary conditions to<br /> find the dispersion relation between the frequency and the wave vector k af the<br /> SP modes. Experimental detection of the SP modes is then suggested by the<br /> introduction of a prism so as to enable ATR measurements to be carried out in<br /> the Otto configuration, in which an air gap separates the prism from the sample<br /> by a distance d. The computed numerical results for the semi-infinite sample of<br /> the dielectric composite Ag-KCI lead to the conclusion tha~ the SP modes for<br /> some chosen values of f are all reciprocal for all models of effective permittivity in<br /> the sense that the change of wave vector direction does not change the<br /> frequency. It is also found that the implementation of the Wiener inequality on<br /> effective permittivity lead to the fact that the number of the SP modes reduces<br /> significantly. The numerical calculations for the associated ATR spectra of the<br /> sample are also presented which show that when the Wiener inequality is not<br /> imposed on effective permittivity then the strongest ATR dips for each model are<br /> obtained with different values of f. Meanwhile, the same value of f equally gives<br /> the srongest dips for ails models when the Wiener inequality is imposed on<br /> effective permittivity.</p> [Yogyakarta] : Fakultas MIPA Universitas Gadjah Mada 2007 Article NonPeerReviewed , Cian Wijaya Kurniawidi and , , Kamsul Abraha (2007) AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES. text. http://repository.ugm.ac.id/digitasi/index.php?module=cari_hasil_full&idbuku=1647 |
spellingShingle | , Cian Wijaya Kurniawidi , , Kamsul Abraha AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES |
title | AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES |
title_full | AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES |
title_fullStr | AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES |
title_full_unstemmed | AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES |
title_short | AN EFFECTIVE MEDIUM STUDY ON THE SURFACE PHONON-POLARITONS AND ATTENUATED TOTAL REFLECTION (ATR) SPECTRA OF DIELECTRIC COMPOSITES |
title_sort | effective medium study on the surface phonon polaritons and attenuated total reflection atr spectra of dielectric composites |
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