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Fundamentals of Electromagnetic Radiation
Nov 23, 2024
Electromagnetic Radiation Lecture Notes
Introduction
Humans are surrounded by electromagnetic (EM) radiation.
Heinrich Hertz was the first to transmit and detect EM waves.
Hertz's experiment involved:
Applying high-voltage current to metal wires.
Creating a spark that generated EM waves.
Demonstrated propagation and detection of EM waves.
Historical Background
James Clerk Maxwell
: Formulated four mathematical equations laying the foundation for electromagnetic radiation before Hertz’s experiment.
Key Question
: How do electromagnetic fields detach from wires and propagate through space?
Understanding Electromagnetic Waves
Moving Electric Charge
: When a charge moves at constant speed, it has an electric field around it.
Effect of Acceleration
:
When the charge accelerates, the change in the electric field propagates at the speed of light.
Regions of the electric field transition, creating a "kink" that radiates outward.
Electromagnetic Disturbance
: The acceleration of the charge causes this disturbance, leading to radiation.
Oscillating Electric Dipole
An
oscillating dipole
produces EM radiation sinusoidally.
Velocity and Acceleration
:
At both ends of the dipole, velocities are zero; maximum in the middle.
Continuous acceleration/deceleration leads to deformation of the electric field lines.
Radiation Propagation
: When charges meet at the center, they detach, and the radiation travels at light speed.
Application to Antennas
Dipole Antenna
:
When voltage is applied, electrons move, creating a dipole effect.
It can function as both a transmitter (sending signals) and a receiver (detecting signals).
Design Criteria for Antennas
:
Length
: Should be half of the wavelength for optimal performance.
Impedance Matching
:
Ensures efficient wave radiation.
Impedance is the combined effect of resistance, inductance, and capacitance in a circuit.
Maximum Power Transfer Theorem
: Load impedance must match source impedance.
Example of Impedance Matching
In a circuit with an alternator as the source and a motor/bulb as a load:
Load impedance must match alternator impedance for maximum power transfer.
Antenna Systems
: High-frequency signals require impedance matching between source, transmission line, and antenna.
Free Space Impedance
: Has a value of 377 ohms.
Parabolic Antennas
: Use waveguides with different impedance; feed horns help match impedance with free space.
Conclusion
Understanding the principles of electromagnetic radiation and antenna design is crucial in engineering.
Importance of supporting educational content.
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