Title page for etd-0812114-125553


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URN etd-0812114-125553
Author Kun-jie Lin
Author's Email Address No Public.
Statistics This thesis had been viewed 5392 times. Download 802 times.
Department Physics
Year 2013
Semester 2
Degree Master
Type of Document
Language zh-TW.Big5 Chinese
Title Optical properties of material calculated through Kramers-Kronig relation using MATLAB
Date of Defense 2014-07-24
Page Count 46
Keyword
  • MATLAB
  • Kramers-Kronig relation
  • dispersion
  • damped oscillation
  • optical constants
  • Abstract This thesis investigates the robustness of three MATLAB computer programs in calculating the optical constants of materials based on given spectral data, using well-documented single crystalline silicon as a testing case. The real and imaginary parts of a complex function are correlated through the Kramers-Kronig integral transform between them. The foci of the current investigation are on the dispersive dielectric function  ̃ε ̃(ω)=ε'(ω)+iε"(ω), or refractive index function n ̃(ω)=n(ω)+ik(ω), where ε ̃(ω)=〖n ̃(ω)〗^2. The representation of material constants as a complex function of frequency is a manifestation of optical dispersion that emulates a damped mechanical oscillation system. The computer codes contain a factor that is characteristic of the scattering rate γ of the oscillator. The factor was found to be critical to obtaining reliable outcome. Such improvement in the consistency, i.e., the reduction in deviation of the recovered optical spectrum from the original one, is believe to originate from avoiding the singular point when evaluating the principal values of the conventional Kramers-Kronig integral transform. A modified calculation through the so-called singly-subtractive Kramers-Kronig relation was then implemented to demonstrate this strategy in minimizing the deviations.
    Advisory Committee
  • Li-Wei Tu - chair
  • Zhi-xiong liao - co-chair
  • Den -Jun Jang - co-chair
  • Quark Chen - advisor
  • Files
  • etd-0812114-125553.pdf
  • Indicate in-campus at 3 year and off-campus access at 3 year.
    Date of Submission 2014-09-12

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