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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.