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Transcript
Electromagnetic Theory
Electromagnetic Waves come in many varieties,
including radio waves, from the ‘long-wave’ band
through VHF, UHF and beyond; microwaves; infrared,
visible and ultraviolet light; X-rays, gamma rays etc.
About 1860, James Clerk Maxwell brought
together all the known laws of electricity and
magnetism:
What difference did it make? Maxwell’s new law
and Faraday’s law give a wave equation, implying
that any disturbance in the electric and magnetic
fields will be self sustaining and travel out in space at
the speed of light as an ‘electro-magnetic’ wave.
What happened next? In 1887 Heinrich Hertz used
a spark-gap transmitter and receiver to demonstrate
that these waves actually existed:
• Gauss’ law gives the electric field pro∇∙D = ρ
duced by electric charges
• Faraday’s law gives the electric field
produced by a changing magnetic field ∇×E = −∂B/∂t
• Ampère’s law gave the magnetic field
∇×H = J
produced by an electric current
• A fourth law states that individual
magnetic charges cannot exist
∇∙B = 0
In a metal wire electric charges flow round as a
continuous current, while in an insulator they are
only displaced by a small distance. Maxwell reasoned
that this displacement could still make a current,
∂D/∂t, and so he reformulated Ampère’s law as ∇
∇×H = J + ∂D/∂t.
Maxwell’s equations are essential to the
understanding of such things as the electrical and
optical properties of matter, the ionosphere, ‘space
weather’, solar dynamics and pulsars. New advances,
the Large Hadron Collider, also depend on them.
The spark generator causes a current spike across the gap in the central
antenna. The transient pulse of electric field travels outwards at the speed
of light. It alternates in direction (red for up, blue for down) making a
wave, and carries with it a magnetic field and electromagnetic energy.
The wave can be detected when it passes through a loop receiving
antenna incorporating a small gap where a feeble spark can be seen.
Milestones from Maxwell to the Wireless
Communications of Today
1885 - Oliver Heaviside reduces Maxwell’s original
equations into the form used today.
1897 - Guglielmo Marconi employs
electromagnetic waves for radio
communications.
1905 - Albert Einstein uses Maxwell’s equations to
a start his theory of special relativity.
1920 - households begin listening to music and
voice broadcast on crystal and valve radios.
1957 - Sony begins mass producing affordable
portable transistor radios.
1973 - the first hand-held or personal cellular
mobile telephone networks roll out.
2000 - WiFi expands connectivity of mobile
devices to networks and the internet.
Some Key Applications that Depend on Maxwell’s Equations and
Electromagnetic Waves.
This panel is sponsored by
The School of Engineering at the University of Edinburgh
James Clerk Maxwell
Foundation
James Clerk Maxwell Foundation 2015