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Journal : POSITRON

Simulation of Quantum Tunnelling in Semiconductors: Analysis of Barrier Thickness Variation through the High Order FDTD Method Firdaus, Rohim Aminullah; Kurniawan, Ananda Rossy; Latifah, Eny; Saputra, Yohanes Dwi; Masulah, Bidayatul; Winarno, Nanang
POSITRON Vol 14, No 2 (2024): Vol. 14 No. 2 Edition
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/positron.v14i2.82415

Abstract

The time-dependent Schrödinger equation is fundamental to quantum mechanics, describing the temporal evolution of quantum systems. This research presents a High-Order Finite-Difference Time-Domain (HO-FDTD) method, employing Taylor series expansion to solve the equation with enhanced efficiency and accuracy. By advancing beyond traditional methods like first-order Taylor series (Crank-Nicolson, forward or backward Euler) or computationally intensive Runge-Kutta schemes, the HO-FDTD method leverages higher-order Taylor expansion for the time evolution operator while simultaneously refining the Laplacian operator. This dual improvement enhances precision, allowing for accurate modeling of complex quantum phenomena. Focusing on quantum tunneling, a critical process where electrons traverse potential barriers despite insufficient classical energy, the study examines tunneling probabilities and electron behavior across barriers of varying thickness in semiconductors. The simulations reveal that thicker barriers reduce tunneling probabilities, amplify deviations in electron positions, and indicate energy transfer during interactions, with increased resistance lowering kinetic energy and raising potential energy. These findings emphasize the significant influence of barrier thickness on quantum tunneling and highlight the HO-FDTD method"™s capability to capture intricate quantum dynamics, establishing it as a robust tool for advancing research and applications in quantum mechanics.
Three-Dimensional Soliton Propagation in Ruby for High-Stability Optical Communication Yantidewi, Meta; Firdaus, Rohim Aminullah; Khoiro, Muhimmatul; Winarno, Nanang; Ramadani, Riski; Nikmah, Afiyah; Alhusni, Hanan Zaki
POSITRON Vol 16, No 1 (2026): Vol. 16 No. 1 Edition
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam, Univetsitas Tanjungpura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26418/positron.v16i1.93213

Abstract

Optical communication in digitalisation is a significant catalyst in supporting high-speed and large capacity data transmission. However, optical communication applications face substantial challenges, such as energy loss, dispersion effects, and signal stability over long transmission distances. One material that has the potential to overcome these problems is ruby due to its nonlinear characteristics. This research work numerically investigates soliton propagation in ruby material analysis as a Nonlinear Schrödinger Equation numerical modelling and three-dimensional visualisation with Cubic B-Spline, modified Korteweg-de Vries-Zakharov-Kuznetsov, and Boussinesq methods to understand ruby material characteristics more deeply. The simulations show that the soliton waveform remains stable during propagation, with its amplitude confined within approximately -1.05 to 0.35, indicating robust shape preservation under anisotropy and temperature variations. like most previous studies that are limited to one or two dimensional modelling or to dispersive fibre media, this study implement a full 3D NLSE framework tailored to the physical properties of ruby. The results show that both numerical modelling and three-dimensional visualisation indicate that ruby material can maintain the soliton waveform during propagation. This finding suggests that ruby has the potential to be applied in optical communication systems with high stability to support long-distance data transmission.
Co-Authors Achmad Samsudin Adi Rahmat Afianti, Eva Afifah, Ratih Mega Ayu Agus Fany Chandra Wijaya, Agus Fany Chandra Ahmad, Nur Jahan Ajiba, Indy Deraya Alhusni, Hanan Zaki Aliyatunnisa, Shofiyya Alnafa I'anatul Maula Amri, Muhammad Fahriza Andini Fajarwati Anna Permanasari Annifah, Annifah Antonio, Alvito Aprillia, Sakinah Ari Widodo Ari Widodo Arisna, Definda Putri Aritonang, Rika Magdalena arnando, steven Arnie Novianti Zulkarnain Aruna, Rezky Putri Asep Kadarohman Asep Supriatna, Asep Ashidiq, Rizki Maulana Aspo Ramadhan Atika Zahara Aulianuriy Sani Aziema, Nur Beatrik Nova Bevo Wahono Briantoko, Elang Rimba Rimba Chun-Yen Chang Damopolii, Insar Dandy Furqani Demboh, Primus Devina, Oryza Aprilia Diana Rochintaniawati Diana Rochintaniawati Dinne Nursyaidah Dita, Killian Iko Dzulkiflih, Dzulkiflih Eka Cahya Prima Eka Cahya Prima Eka Tiara Nur Fitriana Eliyawati, E. Emiliannur Emiliannur Endah Rahmawati Eny Latifah, Eny Erna Risfaula Kusumawati Erning Rahmadini Salsabila Fadillah*, Rofi Wafa Fadly, Wirawan Fahruddin, Devi Anggraini Vitri Fajarwati, Andini Farhan Perdiansyah Fatiin, Jihan Mutiara Fauziah, Naila Raima Fazriah, Sarah Nur Fiandini, Meli Firdaus, Rohim Aminullah Firdaus, Rohim Aminullah Firdaus Firdha Sarah Kartini Fitri Khoerunnisa Fitriana, Eka Tiara Nur Fitriyyatul Muslihah Fuja Novitra furqon, faizah Hanif, Norfazrin Mohd Hartono, Rudi Hasanah Purnama, Aisyah Nurul Hasanah, Maulidah Herman Jufri Andi HERNANI - Hestiningsih Ida Kaniawati Jan Hendriek Nunaki Jayadi, Agung Jefelson M. Paltep Jothy, Karismara Olivya Afiva Joumil Aidil Saifuddin Juliana, Erna Juniarti, Mia Angrianan Kadek Dwi Hendratma Gunawan Karimah, Fani Ulya Karimi, Amir Karwatisari, Rina kerans, geterudis Khaokhajorn, Wacharaporn Kharismayani, Annisa Lea Khoiro, Muhimmatul Kholidah, Nur Kurniasih, Encih Kurniawan, Ananda Rossy Kurniawan, Luthfiyah Azzahra Lea Tarliyah Lefudin Lefudin, Lefudin Leny Heliawati Lepir, Yenika Rambu Lia Astuti Liandha Arieska Putri Lilik Hasanah Lilit Rusyati Linggar Jati, Putri Liu, Shiang-Yao Lukman Hakim Lukman Hakim Maharani, Assyifa Ilma Maharani, Permata Putri Maoludin, Surya Alfin Masra Latjompoh Masulah, Bidayatul Maulidia, Diana Metta Liana Misbah Misbah Mohamad, Maslawati Momo Rosbiono Mr Sjaeful Anwar Mrs Yanti Hamdiyati Mubiar Agustin Muhammad Nur Hudha Muharam, Ghevira Syaharani Aulia Muharam, Ghevira Syaharani Aulia Muji Pangesti Prihandini Muntaz, Adinda Zaskia Yasmin Murti, Adek Diah Muslihah, Fitriyyatul Muslim Muslim Mustikasari, Vita Ria Nasir, Nur Indah Ririn Fitriani Nikmah, Afiyah Nindiati, Dina Sri Novita Damayanti Nur Aziema Nur Jahan Ahmad Nuraeni, Selvi Nuraysha, Anidya Diva Nurgan Tadeko Nurhadi Siswontoro Nurhaida, Popi Nurhayati Nurhayati Nuriyah, Syifa Nurkholidah Nurkholidah Nurkholidah, Nurkholidah NURUL ANNISA Olfiane Tamarengki Parlindungan Sinaga Patricia Lubis, Patricia Perdiansyah, Farhan Permata Putri Maharani Prasetyorini Prasetyorini Pratama, Dear Budi Prima, Eka Cahya Putra Habib Dhitareka Putri Nurul Fitriyyah Putri, Dela Putri, Nur Tasya Qamila*, Fairus Qisthi, Naufalia Rahma Doni Rahmat, Adi Ramadani, Riski Ramadhan, Wildan Septi Ratna Ekawati Riandi Riandi Rifaul Annisa Rika Magdalena Aritonang Rini Solihat Rizki Maulana Ashidiq Rizky Agassy Sihombing Salam, Abduh Salman, Jody Muhamad Salsa Karima Saprudin, Saprudin Saputra, Winata Tegar Selly Feranie Semuel Unwakoly Shofiah Jihni Sihombing, Putri Jessica Sihombing, Rizky Agassy Silvi Yulia Sari Simanjutak, Mariati Purnama Siti Sriyati Sofi Hanif Sriwulan, Wiwin Sujito Sujito Sulur Sunandar, Aris Sunardi Sunardi Supriyatin, Titin Syauqi, Salma Kaisan Syifa, Mutiara Taufik Rahman Titin Supriyatin Tortop, Hasan Said Tresnasih, Eka Ulfa, Rafika Fauzia Utami, Indri Sari Wafi, Wulanda Wahidin, Naufal Rabah Wahyuningsih, Yuyun Wambrauw, Hengky L. Wardani, Alfanisa Dwi Pramudia Warliyah, Heli Warsita, Juniza Putri Weni Rahmadani Widyastuti, Indri Wirawan Fadly Yantidewi, Meta Yenny Darvina Yohanes Dwi Saputra, Yohanes Dwi Yuliani, Galuh Yulianti Yusal Zakiya, Umi Sayidatus