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In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
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An antenna model for the Purcell effect.

Alexander E Krasnok1, Alexey P Slobozhanyuk2, Constantin R Simovski3

  • 1ITMO University, St. Petersburg 197101, Russia.

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Summary
This summary is machine-generated.

The Purcell effect, which modifies quantum emitter emission rates in cavities, has a classical analog in antenna radiation resistance. This study presents a general approach using this analogy to calculate Purcell factors for various systems and frequencies.

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Area of Science:

  • Quantum optics
  • Electromagnetism
  • Classical electrodynamics

Background:

  • The Purcell effect describes altered spontaneous emission rates of quantum emitters due to resonant cavities.
  • Classical antennas also exhibit environmental effects on their radiation, analogous to quantum emitters.

Purpose of the Study:

  • To develop a general, classical electrodynamics-based approach for calculating Purcell factors.
  • To extend the calculation to include both electric and magnetic Purcell factors across various frequency ranges.

Main Methods:

  • Exploiting the analogy between quantum emitters and classical antennas with radiative losses.
  • Modeling the environment's effect on radiation resistance.
  • Developing a general equivalent circuit scheme.

Main Results:

  • A unified approach to calculating Purcell factors using classical antenna theory.
  • The ability to compute both electric and magnetic Purcell factors.
  • Demonstration through an equivalent circuit model.

Conclusions:

  • The classical antenna radiation resistance provides a powerful analogy for understanding and calculating the Purcell effect.
  • This approach offers a versatile framework for analyzing Purcell factors in diverse electromagnetic environments.