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Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

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Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...

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Optical three-port circulators made with ring resonators.

Dirk Jalas, Alexander Yu Petrov, Manfred Eich

|April 3, 2014

Summary

This summary is machine-generated.

We introduce a novel optical circulator using a ring resonator and Bragg reflectors. This device achieves perfect circulation by exploiting magneto-optic effects for simplified fabrication and performance comparable to complex photonic crystal circulators.

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Area of Science:

Photonics
Optical Engineering
Materials Science

Background:

Optical circulators are essential components in integrated photonics for signal routing.
Existing circulators, like photonic crystal circulators, often involve complex fabrication processes.
There is a need for simpler, experimentally accessible circulator designs.

Purpose of the Study:

To propose and theoretically analyze a novel, simplified three-port optical circulator.
To demonstrate the potential for achieving perfect circulation using readily available components.
To offer a simpler alternative to existing photonic crystal circulators.

Main Methods:

A device design based on a ring resonator coupled to three waveguides.
Incorporation of Bragg reflectors at the waveguide ends.
Utilizing a magneto-optically active material within the ring resonator.
Analysis of resonance frequency splitting of counter-propagating modes.

Main Results:

The proposed circulator design enables perfect circulation.
Resonance frequency splitting is achieved through the magneto-optic effect.
Proper adjustment of waveguide-ring coupling is crucial for optimal performance.
The device exhibits a transmission spectrum similar to three-port photonic crystal circulators.

Conclusions:

The proposed ring resonator-based circulator offers a simpler fabrication route.
This design leverages experimentally realized elements for practical implementation.
It presents a viable and simplified alternative for integrated optical signal routing.