Uji Model Dispersi Indeks Bias Cauchy Dan Sellmeier Pada Data Polymethyl Methacrylate (PMMA)

Herwinarso, Herwinarso (2006) Uji Model Dispersi Indeks Bias Cauchy Dan Sellmeier Pada Data Polymethyl Methacrylate (PMMA). Masters thesis, Institut Teknologi Sepuluh November.

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Abstract

Indeks bias merupakan bagian penting dalam perancangan suatu pandu gelombang optik. Nilai indeks bias suatu medium bergantung pada panjang gelombang cahaya yang berinteraksi dengan medium tersebut. Kebergantungan nilai indeks bias medium terhadap panjang gelombang, yang lazim dikenal sebagai dispersi indeks bias, secara empiris dituliskan dalam model dispersi indeks bias Cauchy. Melalui persamaan Maxwell dan beberapa pendekatan elektron yang berinteraksi dengan gelombang elektromagnetik (EM), diperoleh model dispersi indeks bias Sellmeier. Telah dilakukan pengujian model dispersi indeks bias Cauchy dan Sellmeier pada data PMMA-495 dan PMMA-950. Hasil kedua model dispersi tersebut secara statistik menunjukkan bahwa tidak terdapat perbedaan yang signifikan antara hasil model dan data. Berdasarkan grafik dan jumlah kuadrat sisa, model dispersi indeks bias Cauchy empat suku dan model dispersi indeks bias Sellmeier empat suku merupakan model yang paling sesuai untuk PMMA-495. Sementara itu, untuk PMMA-950, model dispersi indeks bias Cauchy tiga suku dan model dispersi indeks bias Sellmeier empat suku memberikan hasil yang paling sesuai. Penelitian ini juga melaporkan penerapan kedua model dispersi yang telah diuji dalam perancangan pandu gelombang planar step-index modus TE (Transverse Electric) dengan bahan PMMA-495 dan PMMA-950. Melalui model dispersi indeks bias Cauchy dan Sellmeier, diperoleh ketebalan film h = 6,7392 µm yang diperlukan agar cahaya dengan panjang gelombang 632,8 nm dapat terpandu dengan baik pada PMMA-495. Untuk PMMA-950, diperoleh ketebalan film yang relatif sama, yaitu sekitar 6,776 µm.
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The refractive index is an important factor in the design of optical waveguides. The refractive index of a medium depends on the wavelength of light interacting with the medium. The dependence of the refractive index on wavelength, commonly known as refractive index dispersion, can be empirically described using the Cauchy dispersion model. By applying Maxwell's equations and several approaches involving electrons interacting with electromagnetic (EM) waves, the Sellmeier refractive index dispersion model can be obtained. Numerical tests of the Cauchy and Sellmeier dispersion models were conducted using PMMA-495 and PMMA-950 data. Statistically, the results of both dispersion models showed no significant difference between the model predictions and the experimental data. Based on the graphical results and the residual sum of squares, the four-term Cauchy dispersion model and the four-term Sellmeier dispersion model provided the best fits for PMMA-495. For PMMA-950, the three-term Cauchy dispersion model and the four-term Sellmeier dispersion model provided the best fits. This study also reports the application of the two validated dispersion models to the design of a TE (Transverse Electric) mode step-index planar waveguide using PMMA-495 and PMMA-950. Based on the Cauchy and Sellmeier dispersion models, a film thickness of h = 6.7392 µm is required to guide light with a wavelength of 632.8 nm effectively in PMMA-495, while a relatively similar film thickness of approximately 6.776 µm is required for PMMA-950.

Item Type:	Thesis (Masters)
Additional Information:	RTFi 621.381 045 Her u
Uncontrolled Keywords:	Dispersi indeks bias, curve fitting, pandu gelombang planar, modus TE, refraction index dispersion, curve fitting, planar waveguide, TE mode
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Mathematics and Science > Physics > 45101-(S2) Master Thesis
Depositing User:	magang .
Date Deposited:	30 Sep 2026 02:51
Last Modified:	30 Sep 2026 02:51
URI:	http://repository.its.ac.id/id/eprint/145066

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