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Multiresolution Frequency Domain Technique for Electromagnetics

Multiresolution Frequency Domain Technique for Electromagnetics

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"Multiresolution Frequency Domain Technique for Electromagnetics" by Mesut Gökten, Atef Elsherbeni, Ercument Arvas is a physics book focused on Devices & Sensors. Best for students, educators, and scientifically curious readers.

In this book, a general frequency domain numerical method similar to the finite difference frequency domain (FDFD) technique is presented. The proposed method, called the multiresolution frequency domain (MRFD) technique, is based on orthogonal Battle-Lemarie and biorthogonal Cohen-Daubechies-Feauveau (CDF) wavelets. The objective of developing this new technique is to achieve a frequency domain scheme which exhibits improved computational efficiency figures compared to the traditional FDFD method: reduced memory and simulation time requirements while retaining numerical accuracy. The newly introduced MRFD scheme is successfully applied to the analysis of a number of electromagnetic problems, such as computation of resonance frequencies of one and three dimensional resonators, analysis of propagation characteristics of general guided wave structures, and electromagnetic scattering from two dimensional dielectric objects. The efficiency characteristics of MRFD techniques based on different wavelets are compared to each other and that of the FDFD method. Results indicate that the MRFD techniques provide substantial savings in terms of execution time and memory requirements, compared to the traditional FDFD method. Table of Contents: Introduction / Basics of the Finite Difference Method and Multiresolution Analysis / Formulation of the Multiresolution Frequency Domain Schemes / Application of MRFD Formulation to Closed Space Structures / Application of MRFD Formulation to Open Space Structures / A Multiresolution Frequency Domain Formulation for Inhomogeneous Media / Conclusion

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Best For: Researchers and engineers working in electromagnetics and frequency domain numerical methods.
Focus: Development and application of a multiresolution frequency domain technique using orthogonal and biorthogonal wavelets.
Covers: Numerical methods in electromagnetics, specifically a technique based on Battle-Lemarie and Cohen-Daubechies-Feauveau wavelets for improved computational efficiency.
Why It Matters: Provides an alternative to finite difference frequency domain methods with potential improvements in computational efficiency for electromagnetic analysis.

"Multiresolution Frequency Domain Technique for Electromagnetics" by Mesut Gökten, Atef Elsherbeni, Ercument Arvas is a physics book focused on Devices & Sensors. Best for students, educators, and scientifically curious readers.

Topic: Devices & Sensors

Author: Mesut Gökten, Atef Elsherbeni, Ercument Arvas

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

In this book, a general frequency domain numerical method similar to the finite difference frequency domain (FDFD) technique is presented. The proposed method, called the multiresolution frequency domain (MRFD) technique, is based on orthogonal Battle-Lemarie and biorthogonal Cohen-Daubechies-Feauveau (CDF) wavelets. The objective of developing this new technique is to achieve a frequency domain scheme which exhibits improved computational efficiency figures compared to the traditional FDFD method: reduced memory and simulation time requirements while retaining numerical accuracy. The newly introduced MRFD scheme is successfully applied to the analysis of a number of electromagnetic problems, such as computation of resonance frequencies of one and three dimensional resonators, analysis of propagation characteristics of general guided wave structures, and electromagnetic scattering from two dimensional dielectric objects. The efficiency characteristics of MRFD techniques based on different wavelets are compared to each other and that of the FDFD method. Results indicate that the MRFD techniques provide substantial savings in terms of execution time and memory requirements, compared to the traditional FDFD method. Table of Contents: Introduction / Basics of the Finite Difference Method and Multiresolution Analysis / Formulation of the Multiresolution Frequency Domain Schemes / Application of MRFD Formulation to Closed Space Structures / Application of MRFD Formulation to Open Space Structures / A Multiresolution Frequency Domain Formulation for Inhomogeneous Media / Conclusion

AuthorMesut Gökten, Atef Elsherbeni, Ercument Arvas
PublisherSpringer
Published2012-10-22
ISBN-139783031005862
BindingPaperback
Pages124
LanguageEnglish
SubjectsTechnology & Engineering
TopicDevices & Sensors
SeriesSynthesis Lectures on Computational Electromagnetics

Format: Paperback

Length: 124 pages

Language: English

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