Explain Circular and Elliptical Polarisation
Mathematics

Explain Circular and Elliptical Polarisation

In both circular and elliptical polarisation the electric and magnetic field vectors rotate with angular frequency w. In circular polarisation E0,y = E0,x ≡ E0…
Explain Linear Polarisation
Mathematics

Explain Linear Polarisation

In linear polarisation the two phase constants are equal, by ϐy = ϐx ≡ ϐ, and so Re {R (r, t) = (x E0,x +…
Explain Polarisation of EM Waves
Mathematics

Explain Polarisation of EM Waves

In this section linear, circular and elliptical polarisations will be described in terms of the electric field of a monochromatic plane wave propagating in the…
What is Coherence of EM Waves?
Mathematics

What is Coherence of EM Waves?

The monochromatic plane wave solutions are an idealisation because they are of infinite extent in all directions and are pure sinusoidal waves, i.e. the spread…
Explain Energy and Momentum in Electromagnetic Waves
Mathematics

Explain Energy and Momentum in Electromagnetic Waves

Since for an EM wave B = √(μƐ) E, the electric and magnetic contributions to energy density are equal, (Ɛ E2)/2 = B2/2μ and so…
Explain EM Waves in Vacuum and Linear Media
Mathematics

Explain EM Waves in Vacuum and Linear Media

Starting with Maxwell’s equations, we shall shortly derive the wave equations for the electric and magnetic fields and show that they predict the existence of…
Explain Standing Waves on Lossless Transmission Line
Mathematics

Explain Standing Waves on Lossless Transmission Line

Unless the line is terminated with the characteristic impedance there will also be reflected waves traveling in the -x direction, and the wave amplitude will…
Explain Lossless Transmission Lines Equations
Mathematics

Explain Lossless Transmission Lines Equations

We will only discuss lossless transmission lines, i.e. where there is no resistance present between or along the conductors. Then the equivalent circuit of infinitesimal…
Explain Transmission Lines with Two Parallel Conductors
Mathematics

Explain Transmission Lines with Two Parallel Conductors

Transmission lines are electrical cables which consist of two parallel conductors of uniform cross section, usually separated by a dielectric, and which are designed to…
Explain Conservation of Momentum
Mathematics

Explain Conservation of Momentum

One can derive the equation describing conservation of momentum from the force on a particle of charge q, as given by Lorentz force equation F…
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