In this paper, author investigates NM and PE in term of their mathematical approach as well as their computation. Further, Tonkin Gulf has been modeled and simulated using both of NM and PE. The simulation results show that there are the agreement and the reliability between both methodologies. | Normal mode vs parabolic equation and their application in Tonkin Gulf P-ISSN 1859-3585 E-ISSN 2615-9615 SCIENCE - TECHNOLOGY NORMAL MODE vs PARABOLIC EQUATION AND THEIR APPLICATION IN TONKIN GULF MODE CHUẨN SO VỚI PHƯƠNG TRÌNH PARABOLIC VÀ ÁP DỤNG VÀO VỊNH BẮC BỘ Tran Cao Quyen to an eigenfunction (mode shape) and an eigenvalue ABSTRACT (horizontal propagation constant). Normal Mode (NM) and Parabolic Equation (PE) have been used widely by Third, the PE method is introduced firstly by Tappert [5] Underwater Acoustic Community due to their effectiveness. In this paper, author investigates NM and PE in term of their mathematical approach as well as their and is considered the modern method since it applied for computation. Further, Tonkin Gulf has been modeled and simulated using both the medium which has layers separated unclearly [5-8]. The of NM and PE. The simulation results show that there are the agreement and the advantages of parabolic method consists of using a source reliability between both methodologies. with one-way propagation, applying for range dependence, as well as performing in the medium which is Keywords: SONAR, Parabolic Equation, Normal Mode, Tonkin Gulf. not required exactly layered separation. TÓM TẮT In this paper we investigate NM and PE in term of their Phương pháp Mode chuẩn và phương trình Parabolic được dùng rộng rãi mathematical approach as well as their computation. trong cộng đồng thủy âm vì sự hiệu quả của chúng. Trong bài báo này, tác giả Besides, Tonkin Gulf has been modeled and simulated nghiên cứu mode chuẩn và phương trình Parabolic ở khía cạnh toán học và tốc độ using not only NM but also PE. The obtained results show tính toán. Hơn nữa, Vịnh Bắc Bộ được mô hình hóa và mô phỏng dùng cả mode that when we divided the grid small enough (the depth, chuẩn và phương trình Parabolic. Các kết quả mô phỏng cho thấy có sự đồng z , the range, r (5 10) z , the parabolic .
