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Analisis Distribusi Dosis Radiasi terhadap Perencanaan Radioterapi Menggunakan Metode Segmentasi Citra pada Kasus Tumor Otak dengan Teknik Intensity Modulated Radiation Therapy (IMRT) Saputri, Izza Wahyu Saputri; Suryatika, Ida Bagus Made; Amelia, Cory; Sandi, I Nengah; Sumadiyasa, Made; Widagda, I Gusti Agung; Irhas, Rozi
Kappa Journal Vol 9 No 1 (2025): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v9i1.29562

Abstract

A study has been conducted on the effect of the number of segments on the radiation dose distribution of photon beams in brain tumor cases using the Intensity Modulated Radiation Therapy (IMRT) technique. This study used 20 primary data and 10 secondary data from brain tumor patients with 6 MV photon beams and a total dose of 6000 cGy. Calculations were performed by analyzing the Homogeneity Index (HI) and Conformity Index (CI) values as well as the radiation dose to the Organs at Risk (OAR), followed by statistical testing. Based on the conducted research, the results showed that HI and CI values for 5, 10, and 15 segments were different. For example, the HI value for 5 segments was more homogeneous, approaching 0, and the CI value for 10 segments was closer to 1, which indicates a better match with the PTV shape. The average maximum dose distribution for OARs with 5 segments in the brainstem, chiasma, left eye, right eye, left lens, and right lens were 4541.9 cGy, 3893.8 cGy, 2754.2 cGy, 2516.1 cGy, 740.8 cGy, and 628.0 cGy, respectively. With 10 segments, the doses for these OARs were 4104.2 cGy, 3633.9 cGy, 2583.9 cGy, 3124.2 cGy, 710.5 cGy, and 625.5 cGy, respectively. With 15 segments, the doses for the same OARs were 4123.0 cGy, 3956.2 cGy, 2753.3 cGy, 2433.7 cGy, 667.7 cGy, and 547.8 cGy, respectively. All maximum dose distributions for the OARs received by the patients were still within the tolerance limits stated in the Radiation Oncology A Question-Based Review 2nd Edition.
SOLUTION OF THE TIME-INDEPENDENT SCHRÖDINGER EQUATION FOR THE ROSEN–MORSE POTENTIAL BY USING THE GALERKIN METHOD Widagda, I Gusti Agung; Artawan, Nengah; Trisnawati, Ni Luh Putu; Adnyana, I Gusti Agung Putra; Paramarta, Ida Bagus Alit
Indonesian Physical Review Vol. 8 No. 3 (2025)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ipr.v8i3.492

Abstract

This study presents a numerical solution to the time-independent Schrödinger equation (TISE) for the Rosen-Morse potential using the Galerkin method. The Rosen-Morse potential, commonly used in atomic and molecular physics, has known analytical solutions under certain conditions. By transforming the TISE into a Jacobi differential equation, the analytical wave function and energy levels can be derived. However, analytical solutions are limited to ideal cases, highlighting the need for numerical methods in more general scenarios. The Galerkin method is implemented by expanding the wave function using Sine basis functions and projecting the TISE onto this basis. The resulting eigenvalue problem is solved by constructing the Hamiltonian matrix from kinetic and potential energy operators. Numerical results from the Galerkin method are compared with analytical solutions using graphical analysis, percentage error (% error), and statistical tests, including the Mann-Whitney U test. The results demonstrate that the probability densities obtained using the Galerkin method closely approximate the analytical solution. This is visually evident from the overlapping of probability density plots from both methods. The percentage error of the probability densities is below 1 %, entirely.  Furthermore, the Mann–Whitney U test yields a p-value less than 0.05, indicating that the differences between the two sets of probability densities are statistically insignificant at the 95% confidence level. These findings highlight the Galerkin method’s effectiveness and accuracy as a robust numerical tool for solving the TISE with the Rosen-Morse potential.  
Analisis Spasial Penentuan Tipe Iklim Menurut Klasifikasi Schmidt-Ferguson Menggunakan Metode Thiessen-Polygon Di Kabupaten Bojonegoro Berdasarkan Data Curah Hujan Tahun 2016–2022 Hidayat, Alyi Savitri Astriyani; Baskoro, Winardi Tjahyo; Unsuriyah, Zumrotul; Yuliara, I Made; Widagda, I Gusti Agung; Pramarta, Ida Bagus Alit; Kurnia, Wenas Ganda
Kappa Journal Vol 7 No 3 (2023): Desember
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v7i3.23128

Abstract

Research on Schmidt-Ferguson climate classification and Thiessen polygon mapping in Bojonegoro Regency, East Java has been carried out based on rainfall data during the 2016–2022 period. The aim of this research is to determine climate types according to the Schmidt-Ferguson classification and the spatial distribution of climate types using the Thiessen Polygon method in Bojonegoro Regency, East Java. This process begins with collecting rainfall data, coordinates and height of rain posts. From the analysis results obtained, Bojonegoro Regency has 4 types of climate based on the Schmidt-Ferguson classification, namely: Very Wet (A), Wet (B), Slightly Wet (C) and Dry (F). While based on Thiessen Polygon mapping, type A distribution has an area of 323.02 km2, climate type B classification covering an area of 962.22 km2, Classification of climate type C covering an area of 669.95 km2 and climate type F classification covering an area of 374.07 km2.   
Perancangan Alat Ukur Intensitas Cahaya menggunakan Sensor BH1750 Berbasis Mikrokontroler ATMega328P Bano, Tominikus Benyamin; Widagda, I Gusti Agung; Trisnawati, Ni Luh Putu; Wibawa, I Made Satriya; Putra, I Ketut; Sandi, I Nengah
Kappa Journal Vol 8 No 1 (2024): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/kpj.v8i1.24917

Abstract

The design of a light intensity measuring instrument using the BH1750 sensor based on the ATMega328P microcontroller has been successfully created. The results of light intensity data are measured by using the BH1750 sensor which receives a data signal in the form of light intensity. In order to get results that are in accordance with the reference tool, the design of a light intensity measuring instrument by using the BH1750 sensor based on the ATmega328P microcontroller is carried out in the Electronics and Instrumentation Laboratory and Computing Laboratory, Physics Study Program, FMIPA, Udayana University, Jimbaran, Bali. Then the results of the design of tool and reference tool processed into graphical form and proven by employing a linear regression equation. The measurement results of light intensity are displayed on a 16x2 LCD. The test results of the design tool against the reference tool shown that the level of accuracy of the design tool is relatively high.
Solution of Time-Independent Schrodinger Equation (TISE) by Using Finite Difference Approach Widagda, I Gusti Agung; Artawan, Nengah; Kasmawan, I Gde Antha; Suharta, I Wayan Gede; Nurmalasari, Ni Putu Yuni
BULETIN FISIKA Vol. 26 No. 1 (2025): BULETIN FISIKA
Publisher : Departement of Physics Faculty of Mathematics and Natural Sciences, and Institute of Research and Community Services Udayana University, Kampus Bukit Jimbaran Badung Bali

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/BF.2025.v26.i01.p02

Abstract

This research investigates the numeric solution of the time-independent Schrödinger equation for the quantum harmonic oscillator by finite difference approach. The harmonic oscillator, described by a quadratic function potential, is a fundamental model in quantum mechanics due to its broad applications, ranging from molecular vibrations to quantum field theory. The time-independent Schrödinger equation is a second-order differential equation that typically poses challenges when solved analytically for complex potentials. The finite difference method become an attractive choice as it transforms the continuous differential equation into a system of linear equations that can be computationally solved through computer programming code. In this study, the spatial domain is discretized, and the second derivative is calculated by using central differences, transforming the TISE into a tridiagonal matrix representing Hamiltonian of system. By finding solutions to this matrix eigenvalue problem, wavefunctions and eigenvalues are obtained. The study results demonstrate that the finite difference approach effectively solves the TISE for the harmonic oscillator. The results obtained by using the finite difference method closely approximate the analytical results. The linear regression results show respectively that the gradient (β1), regression coefficient (β0) and coefficient of determination (R²) approach ideal values of 1, 0, and 1. The z-test results also show that the value of calculated z < critical z, indicating that the wavefunction and probability density, whether estimated by using finite difference approach or analytical methods, are equivalent with confidence level of 95 percent.
Bahasa Inggris Fahik, Gracia Paula; Gusti Ngurah, Sutapa; Widagda, I Gusti Agung; Anggarani, Ni Kadek Nova; Sumadiyasa, Made; Kasmawan, I Gde Antha
Jurnal Penelitian Pendidikan IPA Vol 11 No 6 (2025): June
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v11i6.10382

Abstract

A study has been conducted on the Effective Dose of Sensitive Organs and the Risk of Cancer in Contrast to Abdominal CT-Scan Examination to determine the effective dose of sensitive organs and the risk of cancer in male and female patients. This study was conducted at Bali Mandara Hospital, and data was used, namely, 60 CT-scans of the Abdomen in contrast to patient examination data. The sensitive organs of concern in this study are the stomach, colon, bladder, and liver. To determine the effective dose value of sensitive organs, the equivalent dose value (????????) is multiplied by the value (W????) in each sensitive organ. From the calculation results obtained, it is known that the highest dose is received by the stomach and colon with a value of 9.90  ± 3.94  mSv for male patients and 8.82  ± 2.27 mSv for female patients. To find out the cancer risk value in each organ for male and female patients is done by multiplying the equivalent dose value (????????) by the value (rt) in each organ in adult patients. From the results obtained, patients with the highest risk of cancer are male patients with the highest risk, namely the colon organ, with a risk of 79,16 ×10-4 %. From the results obtained, an analysis was carried out to compare the cancer risk in male and female patients for each organ using the Independent T-Test. From the results obtained, it was found that there was a difference in cancer risk between the two patients, where male patients have a greater risk of cancer than women, with the highest average difference in cancer risk, namely 0.00086 ± 0.00066% in the colon organ