Dynamics of optical pulses in fiber optics

In this paper, we pay attention to the nonlinear dynamical behavior of ultra-short pulses in optical fiber. The new Hamiltonian amplitude equation is used as a governing model to analyze the pulses. We secure the ultra-short pulses in the forms of bright, dark, singular, combo and complex soliton solutions by the utilization of three of sound computational integration techniques that are protracted (or extended) Fan-sub equation method (PFSEM), the generalized exponential rational function method (GERFM), extended Sinh-Gordon equation expansion method (ShGEEM). Moreover, Jacobi’s elliptic, trigonometric, and hyperbolic functions solutions are also discussed as well as the constraint conditions of the achieved solutions are also presented. In addition, we discuss the different wave structures by the assistance of logarithmic transformation. The findings demonstrate that the examined equation theoretically contains a large number of soliton solution structures. By selecting appropriate criteria, the actual portrayal of certain obtained results is sorted out graphically in 3D and 2D profiles. The results suggest that the procedures used are concise, direct, and efficient, and that they can be applied to more complex phenomena. The resulting solutions are novel, intriguing, and potentially useful in understanding energy transit and diffusion processes in mathematical models of several disciplines of interest, including nonlinear optics. Our new results have been compared to these in the literature.

Pengembangan Video Pembelajaran Kalkulus Untuk Memahamkan Konsep

This research is motivated by the difficulty of students understanding the concept of integration techniques through bold learning, so that a concept understanding-based learning video is needed for flat area material. This study aims to develop learning videos and determine the validity and practicality of the videos produced. This type of research is in the form of ADDIE model development research (Analysis, Design, Development, Implementation, Evaluation). The research subjects were class B students, batch 2020, the Ahmad Dahlan University Mathematics Education study program. The results of the assessment from material experts obtained an average score of 4.77 with very good criteria, from material experts obtained an average score of 4.55 with very good criteria, and from student responses a score of 3.50 was obtained with good criteria so that it can be concluded that the video Integral calculus learning is valid and practical to use. Keywords: integral calculus, learning videos, trigonometric functions

Stretchable Systems

Stretchable electronics is one of the transformative pillars of future flexible electronics. As a result, the research on new passive and active materials, novel designs, and engineering approaches has attracted significant interest. Recent studies have highlighted the importance of new approaches that enable the integration of high-performance materials, including, organic and inorganic compounds, carbon-based and layered materials, and composites to serve as conductors, semiconductors or insulators, with the ability to accommodate electronics on stretchable substrates. This Element presents a discussion about the strategies that have been developed for obtaining stretchable systems, with a focus on various stretchable geometries to achieve strain invariant electrical response, and summarises the recent advances in terms of material research, various integration techniques of high-performance electronics. In addition, some of the applications, challenges and opportunities associated with the development of stretchable electronics are discussed.

Conformal vector fields of Bianchi type-I spacetimes

This paper aims to investigate Conformal Vector Fields (CVFs) of Bianchi type-I spacetimes. A set of 10-coupled Partial Differential Equations (PDEs) is obtained from the conformal Killing equations. These equations are solved by using direct integration techniques to explore the components of CVFs. Utilizing these components, we get a system of three integrability conditions. Finally, we achieve CVFs along with conformal factors for unique possibilities of unknown metric functions from the solution of these conditions. From our results, it is examined that Bianchi type-I spacetimes admit five or fifteen CVFs for specific choices of metric functions.

Identification of Understanding Student in Solving Integral Calculus Based on Mathematical Ability

The purpose of this study was to identify students' lack of understanding in completing integral calculus based on students' mathematical abilities. Integral calculus material here focuses on the material integration techniques. This material is important to identify the lack of understanding experienced by prospective mathematics teacher students because they muhs be able to mahser this material because this material is found at the secondary school level where they will teach. The research method used is descriptive qualitative method. The results of the study are described in a narrative manner based on the data obtained. The subjects in this study were two people with high abilities, two people with moderate abilities, and two people with low abilities. Each ability identified their lack of understanding of integral calculus, especially material on integration techniques. Based on the research that has been done, it is concluded that the identification of students' misunderstandings in solving integral calculus problems, especially the material for integration techniques. High ability students can understand the concept of integration techniques. students with moderate abilities can claMSify integration techniques but do not understand the rational function integral techniques. Low-ability students can only understand the basic concepts of integrals but cannot understand the concepts of integration techniques.

High-performance lasers for fully integrated silicon nitride photonics

Silicon nitride (SiN) waveguides with ultra-low optical loss enable integrated photonic applications including low noise, narrow linewidth lasers, chip-scale nonlinear photonics, and microwave photonics. Lasers are key components to SiN photonic integrated circuits (PICs), but are difficult to fully integrate with low-index SiN waveguides due to their large mismatch with the high-index III-V gain materials. The recent demonstration of multilayer heterogeneous integration provides a practical solution and enabled the first-generation of lasers fully integrated with SiN waveguides. However, a laser with high device yield and high output power at telecommunication wavelengths, where photonics applications are clustered, is still missing, hindered by large mode transition loss, non-optimized cavity design, and a complicated fabrication process. Here, we report high-performance lasers on SiN with tens of milliwatts output power through the SiN waveguide and sub-kHz fundamental linewidth, addressing all the aforementioned issues. We also show Hertz-level fundamental linewidth lasers are achievable with the developed integration techniques. These lasers, together with high-Q SiN resonators, mark a milestone towards a fully integrated low-noise silicon nitride photonics platform. This laser should find potential applications in LIDAR, microwave photonics and coherent optical communications.

Studi Komunikasi Persuasif Anak Vegetarian terhadap Orang Tua Nonvegetarian

Vegetarian is one of the ways that human can do to start healthy lifestyle. There is process, technique, principle, and factors that supports nor hinders a message to be delivered in persuasive communication. This research is talking about persuasive communication that child to their parents and using communication theory, persuasive communication theory, interpersonal communication theory, lifestyle, and vegetarian. This research is using descriptive qualitative approach and deduction model. This research data is obtained from interview with two key informant and three informant, documentation, and study literature. From this research is known there is a difference in characteristic of interpersonal communication on the process of persuasive communication that key informant number one and key informant number two. Then, on the process of persuasive communication there is a principle of selective exposure, principle of audience participation and principle of inoculation. Besides that, the persuasive communication that vegetarian child do to their parents is using association techniques, integration techniques, reward techniques, structuring techniques, and red-herring techniques. The factors that support or hinder the persuasive communication process of vegetarian child do to their non-vegetarian parents can be viewed in terms of communicators and communicants. Communicators must have confidence and attractiveness in the form of self-confidence while communicants must really understand the communication message conveyed.Vegetarian merupakan salah satu cara yang dapat dilakukan oleh manusia untuk memulai gaya hidup sehat. Komunikasi persuasif yang dilakukan anak vegetarian terhadap orang tua nonvegetarian terdapat proses, teknik, prinsip, dan faktor-faktor yang mendukung maupun menghambat sebuah pesan untuk tersampaikan. Penelitian ini membahas tentang komunikasi persuasif anak vegetarian terhadap orang tua nonvegetarian dan menggunakan teori yang terdiri dari teori komunikasi, teori komunikasi persuasif, teori komunikasi antarpribadi, gaya hidup, dan vegetarian. Penelitian ini menggunakan pendekatan kualitatif yang bersifat deskriptif dengan model deduksi. Data penelitian ini diperoleh melalui wawancara terhadap dua orang key informan, tiga orang informan, dokumentasi, dan studi kepustakaan. Dari penelitian ini diketahui bahwa proses komunikasi persuasif yang dilakukan key informan satu dan key informan dua memiliki perbedaan karakteristik komunikasi antarpribadi. Kemudian terdapat prinsip pemaparan selektif, prinsip partisipasi khalayak dan prinsip inokulasi dalam proses komunikasi persuasif. Selain itu komunikasi persuasif yang dilakukan anak vegetarian terhadap orang tua nonvegetarian adalah dengan menggunakan teknik asosiasi, teknik integrasi, teknik ganjaran, teknik tataan, dan teknik red-herring. Kemudian faktor-faktor yang mendukung maupun menghambat proses komunikasi persuasif anak vegetarian terhadap orang tua nonvegetarian dapat ditinjau dari segi komunikator maupun komunikan. Komunikator harus memiliki kepercayaan dan daya tarik yang berupa rasa percaya diri sementara komunikan harus benar-benar mengerti pesan komunikasi yang disampaikan.