Bir Dielektrik Tepki Analizi

Year 2020, Volume: 25 Issue: 3, 107 - 116, 30.12.2020

Fayrooz Al-basree Harun Akkus

Abstract

Bu çalışmada, klasik dispersiyon teorisi çerçevesinde dielektrik spektrumun matematiksel bir analizi yapılmaktadır. Bu analiz, bir kompleks düzlem analizidir. Bu analizle dielektrik fonksiyonun sanal kısmını temel bileşenlerine ayırmak için bir bütüncül analitik yöntem türetilmektedir. Dielektrik fonksiyonun kompleks özelliği kullanılarak bir kompleks düzlem oluşturulmuştur. Bu düzlemde, bir çembere tamamlanan her bir ε_2 (ε_1-1) fonksiyon döngüsü, tek bir Lorentz osilatörü için lineer optik tepkiyi temsil eder. Her bir Lorentz osilatörünün, doğal frekans, enerji ve yarı genişlik gibi parametreleri, bu çemberler analiz edilerek hesaplanır.

Keywords

Argand diagramı, Kompleks düzlem, Dielektrik tepki, Dispersiyon teorisi, Lorentz osilatorü, Rezonans frekansı

An Analysis of Dielectric Response

Abstract

We perform a mathematical analysis of the dielectric spectrum within the framework of classical dispersion theory. The analysis is a complex plane analysis. With this analysis, a holistic analytical method is derived to decompose the imaginary part of dielectric function into its fundamental components. A complex plane is formed using the complex feature of the dielectric function. In this plane, each loop of the function ε_2 (ε_1-1), which completed to a circle, represents the linear optical response for a single Lorentz oscillator. The parameters of each Lorentz oscillator such as natural frequency, energy, and half-width are calculated by analyzing the circles.

Keywords

Argand diagram, Complex plane, Dielectric response, Dispersion theory, Lorentz oscillator, Resonance frequency

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