Book contents
- Transmission Lines
- Transmission Lines
- Copyright page
- Epigraph
- Contents
- Preface to the First Edition
- Preface to the Second Edition
- 1Pulses on Transmission Lines
- 2Sine Waves and Networks
- 3Coupled Transmission Lines and Circuits
- 4Transmission Lines and Electromagnetism
- 5Guided Electromagnetic Waves
- 6Attenuation in Transmission Lines
- 7Plane Waves and Transmission Lines
- 8The Role of Photons in Transmission Line Circuits
- Index
- References
7 - Plane Waves and Transmission Lines
Published online by Cambridge University Press: 05 June 2026
Book contents
- Transmission Lines
- Transmission Lines
- Copyright page
- Epigraph
- Contents
- Preface to the First Edition
- Preface to the Second Edition
- 1Pulses on Transmission Lines
- 2Sine Waves and Networks
- 3Coupled Transmission Lines and Circuits
- 4Transmission Lines and Electromagnetism
- 5Guided Electromagnetic Waves
- 6Attenuation in Transmission Lines
- 7Plane Waves and Transmission Lines
- 8The Role of Photons in Transmission Line Circuits
- Index
- References
Summary
This chapter shows how using plane electromagnetic waves can simply give many of the results in previous chapters, without involving Maxwell’s equations. Starting with metallic rectangular and circular waveguides, these waves are used to find the main solutions for propagation and attenuation. After deriving the two Fresnel reflection coefficients for oblique incidence, plane waves reveal the solutions for slab guides directly. Following the analysis of oblique incidence on a conductor, solutions for the attenuation in some transmission lines are derived showing some of the physics of this phenomenon. There follows a section concerning plane waves going through thin resistive films. One of the examples shows the unusual result of a frequency independent solution for transmission through a resistive film on a dielectric substrate.
Information
- Type
- Chapter
- Information
- Transmission LinesEquivalent Circuits, Electromagnetic Theory, and Photons, pp. 272 - 305Publisher: Cambridge University PressPrint publication year: 2026
References
7.6 Further Reading
Bleaney, B. I. and Bleaney, B. Electricity and Magnetism, Oxford, Clarendon Press, 1957. Section 17.3, noise and Planck’s radiation law.Google Scholar
Clemmow, P. C The Plane Wave Spectrum Representation of Electromagnetic Fields, Oxford, Pergamon Press, 1966.Google Scholar
Schiff, L. I. Quantum Mechanics, Second edition, New York, McGraw-Hill, 1955. Page 378 (plane wave representation).Google Scholar
Stratton, J. A. Electromagnetic Theory, New York, McGraw-Hill, 1941. Pages 361–374 (plane waves in cylindrical boundaries), pages 551–554 (attenuation in coaxial cable – theoretical approach only).Google Scholar
Olyslager, F. Electromagnetic Waveguides and Transmission Lines, Oxford, Clarendon Press, 1999. A theoretical discussion of coupled lines and waveguides including attenuation. Chapter 2.CrossRefGoogle Scholar
Pozar, D. M. Microwave Engineering, Second edition, New York, Wiley, 1998. Chapter 1, sections 1.5 to 1.9.Google Scholar
Collin, R. E. Foundations for Microwave Engineering, New York, McGraw-Hill, 1992. Chapter 2, sections 2.7 to 2.9.Google Scholar
Elshabini-Riad, A. A. R. and Barlow, F. D. Thin Film Technology Handbook, New York, McGraw-Hill, 1998.Google Scholar
Elshabini-Riad, A. A. R. and Barlow, F. D. Thin Film Technology Handbook, New York, McGraw-Hill, 1998.Google Scholar
Thin Films
Elshabini-Riad, A. A. R. and Barlow, F. D. Thin Film Technology Handbook, New York, McGraw-Hill, 1998.Google Scholar
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