To learn the foundations of electromagnetic field theory finalized to the analysis and design of electromagnetic systems to be used by biomedical engineers.
Curriculum
teacher profile teaching materials
Topics in algebra and calculus
Linear spaces, scalar and vector products, algebraic identities.
Scalar and vector fields. First- and second-order differential operators. Differential identities.
Irrotational and solenoidal fields. Scalar and vector potentials.
Dirac function.
Dyadic product.
Fundamental equations of electromagnetic fields
Maxwell equations in time and frequency domains.
Constitutive relations in time and frequency domains.
Boundary conditions in time and frequency domains.
Complex representations. Complex vectors and polarization properties of electromagnetic fields.
Fourier transform.
Poynting theorem in time and frequency domains.
Uniqueness theorems in time and frequency domains.
Plane waves
Helmholtz equation.
Wave functions.
Plane waves in free space.
Propagation and polarization features of plane waves.
Secondary constants of media.
Polychromatic fields.
Group velocity.
PART II
Electromagnetic field excited by impressed sources
Electrodynamic potentials
Deterministic problem
Green's functions
Electromagnetic field excited by impressed currents in free space: formulation of the problem
Green's function for free space
Electromagnetic field excited by impressed currents in free space: general solution and its approximations
Retarded potentials
Short dipole
Plane-wave reflection and transmission
Symmetry with respect to a plane, odd and even electromagnetic fields
Normal incidence
Oblique incidence
Transmission lines
Transmission-line (or telegraphers') equations
Solutions of the transmission-line equations
Impedance, admittance and reflection coefficients
Standing-wave ratio
Transmission-line formalism for the study of reflection and transmission of plane waves
Smith diagram and impedance matching with stubs
Waveguides
Structures with cylindrical symmetry
Transmission lines associated with TM, TE and TEM waves
Hollow metallic waveguides
Eigenvalue problems
Modal propagation in hollow metallic waveguides
Rectangular waveguides
Circular waveguides and coaxial cables
• Supplementary teaching handouts (by the lecturer)
• Electromagnetic fields exercises done (by the lecturer)
Textbook in English:
• F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed).
Programme
PART ITopics in algebra and calculus
Linear spaces, scalar and vector products, algebraic identities.
Scalar and vector fields. First- and second-order differential operators. Differential identities.
Irrotational and solenoidal fields. Scalar and vector potentials.
Dirac function.
Dyadic product.
Fundamental equations of electromagnetic fields
Maxwell equations in time and frequency domains.
Constitutive relations in time and frequency domains.
Boundary conditions in time and frequency domains.
Complex representations. Complex vectors and polarization properties of electromagnetic fields.
Fourier transform.
Poynting theorem in time and frequency domains.
Uniqueness theorems in time and frequency domains.
Plane waves
Helmholtz equation.
Wave functions.
Plane waves in free space.
Propagation and polarization features of plane waves.
Secondary constants of media.
Polychromatic fields.
Group velocity.
PART II
Electromagnetic field excited by impressed sources
Electrodynamic potentials
Deterministic problem
Green's functions
Electromagnetic field excited by impressed currents in free space: formulation of the problem
Green's function for free space
Electromagnetic field excited by impressed currents in free space: general solution and its approximations
Retarded potentials
Short dipole
Plane-wave reflection and transmission
Symmetry with respect to a plane, odd and even electromagnetic fields
Normal incidence
Oblique incidence
Transmission lines
Transmission-line (or telegraphers') equations
Solutions of the transmission-line equations
Impedance, admittance and reflection coefficients
Standing-wave ratio
Transmission-line formalism for the study of reflection and transmission of plane waves
Smith diagram and impedance matching with stubs
Waveguides
Structures with cylindrical symmetry
Transmission lines associated with TM, TE and TEM waves
Hollow metallic waveguides
Eigenvalue problems
Modal propagation in hollow metallic waveguides
Rectangular waveguides
Circular waveguides and coaxial cables
Prerequisiti
Mastery of the basic mathematical tools taught in the Analysis I and II and Geometry courses. Knowledge of basic physics topics, particularly electromagnetism, taught in the "Physics and Elements of Data Representation and Interpretation" course.Core Documentation
• G. Gerosa, P. Lampariello - Lezioni di Campi elettromagnetici - Ed. Ingegneria 2000, Roma, 2006, seconda edizione.• Supplementary teaching handouts (by the lecturer)
• Electromagnetic fields exercises done (by the lecturer)
Textbook in English:
• F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed).
Reference Bibliography
Textbooks • G. Gerosa, P. Lampariello - Lezioni di Campi elettromagnetici - Ed. Ingegneria 2000, Roma, 2006, seconda edizione. • F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed). Reference texts C. A. Balanis - Advanced engineering electromagnetics - John Wiley & Sons, New York, 1989. G. Barzilai - Fondamenti di Elettromagnetismo - Siderea, Roma, 1983. G. Conciauro - Introduzione alle onde elettromagnetiche - McGraw-Hill Libri Italia, Milano, 1993. G. C. Corazza - Campi elettromagnetici - Zanichelli, Bologna, 1994. G. Franceschetti - Campi elettromagnetici - Editore Boringhieri, Torino, 1983. D. S. Jones - Acoustic and Electromagnetic Waves - Clarendon Press, Oxford, 1986. S. Ramo, J. R. Whinnery, T. Van Duzer - Campi e onde nell'elettronica per le telecomunicazioni - Franco Angeli Editore, Milano, 1982. C. G. Someda - Onde elettromagnetiche - UTET, Torino, 1986. G. Toraldo di Francia, P. Buscaglioni - Onde elettromagnetiche - Zanichelli, Bologna, 1988. J. Van Bladel - Electromagnetic Fields - Hemisphere Publ. Corp., Washington, 1985.Attendance
Non-mandatory attendanceType of evaluation
-Two oral questions (max 15 points each) on the first and second parts of the program, respectively. The exam is passed if the overall grade is greater than or equal to 18/30. -There is one exemption test (written exam, lasting two hours, with one or more open questions) of the first part of the program (max 15 points). Exemption from the first part is obtained with a score equal to or greater than 9. The final exam, in the case of exemption from the first part, will consist of one oral question on the second part of the course (max 15 points). The exam is passed if the overall grade is greater than or equal to 18/30. -For each part, the score will reflect the completeness and accuracy of the answer; understanding of the physical meaning of electromagnetic laws and phenomena; rigour of reasoning and any mathematical derivations; the ability to apply knowledge and establish connections between topics; and clarity of expression and appropriate use of technical terminology and mathematical notation. Grades in the range 18–23/30 reflect knowledge of the fundamentals and an overall satisfactory understanding, despite some uncertainty and a limited ability to explore topics in depth. Grades in the range 24–27/30 reflect sound knowledge, correct interpretation of physical phenomena, and a good ability to develop arguments and apply knowledge. Grades in the range 28–30/30 reflect comprehensive and integrated knowledge, methodological rigour, independent reasoning, and clarity of expression. teacher profile teaching materials
Topics in algebra and calculus
Linear spaces, scalar and vector products, algebraic identities.
Scalar and vector fields. First- and second-order differential operators. Differential identities.
Irrotational and solenoidal fields. Scalar and vector potentials.
Dirac function.
Dyadic product.
Fundamental equations of electromagnetic fields
Maxwell equations in time and frequency domains.
Constitutive relations in time and frequency domains.
Boundary conditions in time and frequency domains.
Complex representations. Complex vectors and polarization properties of electromagnetic fields.
Fourier transform.
Poynting theorem in time and frequency domains.
Uniqueness theorems in time and frequency domains.
Plane waves
Helmholtz equation.
Wave functions.
Plane waves in free space.
Propagation and polarization features of plane waves.
Secondary constants of media.
Polychromatic fields.
Group velocity.
PART II
Electromagnetic field excited by impressed sources
Electrodynamic potentials
Deterministic problem
Green's functions
Electromagnetic field excited by impressed currents in free space: formulation of the problem
Green's function for free space
Electromagnetic field excited by impressed currents in free space: general solution and its approximations
Retarded potentials
Short dipole
Plane-wave reflection and transmission
Symmetry with respect to a plane, odd and even electromagnetic fields
Normal incidence
Oblique incidence
Transmission lines
Transmission-line (or telegraphers') equations
Solutions of the transmission-line equations
Impedance, admittance and reflection coefficients
Standing-wave ratio
Transmission-line formalism for the study of reflection and transmission of plane waves
Smith diagram and impedance matching with stubs
Waveguides
Structures with cylindrical symmetry
Transmission lines associated with TM, TE and TEM waves
Hollow metallic waveguides
Eigenvalue problems
Modal propagation in hollow metallic waveguides
Rectangular waveguides
Circular waveguides and coaxial cables
• Supplementary teaching handouts (by the lecturer)
• Electromagnetic fields exercises done (by the lecturer)
Textbook in English:
• F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed).
Programme
PART ITopics in algebra and calculus
Linear spaces, scalar and vector products, algebraic identities.
Scalar and vector fields. First- and second-order differential operators. Differential identities.
Irrotational and solenoidal fields. Scalar and vector potentials.
Dirac function.
Dyadic product.
Fundamental equations of electromagnetic fields
Maxwell equations in time and frequency domains.
Constitutive relations in time and frequency domains.
Boundary conditions in time and frequency domains.
Complex representations. Complex vectors and polarization properties of electromagnetic fields.
Fourier transform.
Poynting theorem in time and frequency domains.
Uniqueness theorems in time and frequency domains.
Plane waves
Helmholtz equation.
Wave functions.
Plane waves in free space.
Propagation and polarization features of plane waves.
Secondary constants of media.
Polychromatic fields.
Group velocity.
PART II
Electromagnetic field excited by impressed sources
Electrodynamic potentials
Deterministic problem
Green's functions
Electromagnetic field excited by impressed currents in free space: formulation of the problem
Green's function for free space
Electromagnetic field excited by impressed currents in free space: general solution and its approximations
Retarded potentials
Short dipole
Plane-wave reflection and transmission
Symmetry with respect to a plane, odd and even electromagnetic fields
Normal incidence
Oblique incidence
Transmission lines
Transmission-line (or telegraphers') equations
Solutions of the transmission-line equations
Impedance, admittance and reflection coefficients
Standing-wave ratio
Transmission-line formalism for the study of reflection and transmission of plane waves
Smith diagram and impedance matching with stubs
Waveguides
Structures with cylindrical symmetry
Transmission lines associated with TM, TE and TEM waves
Hollow metallic waveguides
Eigenvalue problems
Modal propagation in hollow metallic waveguides
Rectangular waveguides
Circular waveguides and coaxial cables
Prerequisiti
Mastery of the basic mathematical tools taught in the Analysis I and II and Geometry courses. Knowledge of basic physics topics, particularly electromagnetism, taught in the "Physics and Elements of Data Representation and Interpretation" course.Core Documentation
• G. Gerosa, P. Lampariello - Lezioni di Campi elettromagnetici - Ed. Ingegneria 2000, Roma, 2006, seconda edizione.• Supplementary teaching handouts (by the lecturer)
• Electromagnetic fields exercises done (by the lecturer)
Textbook in English:
• F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed).
Reference Bibliography
Textbooks • G. Gerosa, P. Lampariello - Lezioni di Campi elettromagnetici - Ed. Ingegneria 2000, Roma, 2006, seconda edizione. • F. Frezza - A Primer on Electromagnetic Fields - Ed Springer International Publishing Switzerland, 2015, (1° ed). Reference texts C. A. Balanis - Advanced engineering electromagnetics - John Wiley & Sons, New York, 1989. G. Barzilai - Fondamenti di Elettromagnetismo - Siderea, Roma, 1983. G. Conciauro - Introduzione alle onde elettromagnetiche - McGraw-Hill Libri Italia, Milano, 1993. G. C. Corazza - Campi elettromagnetici - Zanichelli, Bologna, 1994. G. Franceschetti - Campi elettromagnetici - Editore Boringhieri, Torino, 1983. D. S. Jones - Acoustic and Electromagnetic Waves - Clarendon Press, Oxford, 1986. S. Ramo, J. R. Whinnery, T. Van Duzer - Campi e onde nell'elettronica per le telecomunicazioni - Franco Angeli Editore, Milano, 1982. C. G. Someda - Onde elettromagnetiche - UTET, Torino, 1986. G. Toraldo di Francia, P. Buscaglioni - Onde elettromagnetiche - Zanichelli, Bologna, 1988. J. Van Bladel - Electromagnetic Fields - Hemisphere Publ. Corp., Washington, 1985.Attendance
Non-mandatory attendanceType of evaluation
-Two oral questions (max 15 points each) on the first and second parts of the program, respectively. The exam is passed if the overall grade is greater than or equal to 18/30. -There is one exemption test (written exam, lasting two hours, with one or more open questions) of the first part of the program (max 15 points). Exemption from the first part is obtained with a score equal to or greater than 9. The final exam, in the case of exemption from the first part, will consist of one oral question on the second part of the course (max 15 points). The exam is passed if the overall grade is greater than or equal to 18/30. -For each part, the score will reflect the completeness and accuracy of the answer; understanding of the physical meaning of electromagnetic laws and phenomena; rigour of reasoning and any mathematical derivations; the ability to apply knowledge and establish connections between topics; and clarity of expression and appropriate use of technical terminology and mathematical notation. Grades in the range 18–23/30 reflect knowledge of the fundamentals and an overall satisfactory understanding, despite some uncertainty and a limited ability to explore topics in depth. Grades in the range 24–27/30 reflect sound knowledge, correct interpretation of physical phenomena, and a good ability to develop arguments and apply knowledge. Grades in the range 28–30/30 reflect comprehensive and integrated knowledge, methodological rigour, independent reasoning, and clarity of expression.