Misplaced Pages

Mode (electromagnetism)

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
(Redirected from Eigenmode)

The mode of electromagnetic systems describes the field pattern of the propagating waves.

Some of the classifications of electromagnetic modes include;

  • Modes in waveguides and transmission lines. These modes are analogous to the normal modes of vibration in mechanical systems.
    • Transverse modes, modes that have at least one of the electric field and magnetic field entirely in a transverse direction.
      • Transverse electromagnetic mode (TEM), as with a free space plane wave, both the electric field and magnetic field are entirely transverse.
      • Transverse electric (TE) modes, only the electric field is entirely transverse. Also notated as H modes to indicate there is a longitudinal magnetic component.
      • Transverse magnetic (TM) modes, only the magnetic field is entirely transverse. Also notated as E modes to indicate there is a longitudinal electric component.
    • Hybrid electromagnetic (HEM) modes, both the electric and magnetic fields have a component in the longitudinal direction. They can be analysed as a linear superposition of the corresponding TE and TM modes.
      • HE modes, hybrid modes in which the TE component dominates.
      • EH modes, hybrid modes in which the TM component dominates.
      • Longitudinal-section modes
        • Longitudinal-section electric (LSE) modes, hybrid modes in which the electric field in one of the transverse directions is zero
        • Longitudinal-section magnetic (LSM) modes, hybrid modes in which the magnetic field in one of the transverse directions is zero
    • The term eigenmode is used both as a synonym for mode and as the eigenfunctions in a eigenmode expansion analysis of waveguides.
      • Similarly natural modes arise in the singular expansion method of waveguide analysis and characteristic modes arise in characteristic mode analysis.
  • Modes in other structures
    • Bloch modes, modes of Bloch waves; these occur in periodically repeating structures.

Mode names are sometimes prefixed with quasi-, meaning that the mode is not quite pure. For instance, quasi-TEM mode has a small component of longitudinal field.

References

  1. Jackson, John David (1975). Classical electrodynamics (2d ed.). New York: Wiley. ISBN 978-0-471-43132-9.
  2. ^ Rothwell, Edward J.; Cloud, Michael J. (2001). Electromagnetics. Electrical engineering textbook series. Boca Raton, Fla: CRC Press. ISBN 978-0-8493-1397-4.
  3. Connor, F. R. (1972). Wave transmission. His Introductory topics in electronics and telecommunication. London: Edward Arnold. ISBN 978-0-7131-3278-6.
  4. Chen, Wai Kai (2004). The Electrical Engineering Handbook. Elsevier. ISBN 0-0804-7748-8.
  5. Zhang, Kequian; Li, Dejie (2008). Electromagnetic Theory for Microwaves and Optoelectronics. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-540-74296-8. ISBN 978-3-540-74295-1.
  6. ^ Huang, Shaode; Pan, Jin; Luo, Yuyue (2018). "Study on the Relationships between Eigenmodes, Natural Modes, and Characteristic Modes of Perfectly Electric Conducting Bodies". International Journal of Antennas and Propagation. 2018: 1–13. doi:10.1155/2018/8735635. hdl:10453/132538. ISSN 1687-5869.
  7. Yang, Jianke (2010). Nonlinear waves in integrable and nonintegrable systems. Mathematical modeling and computation. Philadelphia: Society for Industrial and Applied Mathematics. ISBN 978-0-89871-705-1.
  8. Edwards, T. C.; Steer, Michael Bernard (2016). Foundations for microstrip circuit design (Fourth ed.). Chichester, West Sussex, United Kingdom: IEEE Press, Wiley. ISBN 978-1-118-93619-1.
Categories: