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Related Concept Videos

Parallel Resonance01:23

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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Unstable strip resonators with misaligned circular mirrors.

C Santana, L B Felsen

    Applied Optics
    |March 6, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study analyzes unstable strip resonators with tilted mirrors using a waveguide approach. Misalignment introduces ripples in power loss, explained by edge diffraction effects.

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    Area of Science:

    • Optics and Photonics
    • Waveguide Theory
    • Resonator Physics

    Background:

    • Unstable strip resonators are crucial in laser design.
    • Previous models often simplify mirror geometry and alignment.
    • Accurate modeling of tilted, unequal mirrors is needed for advanced applications.

    Purpose of the Study:

    • To apply a waveguide approach to analyze unstable strip resonators with tilted, unequal, sharp-edged circular mirrors.
    • To define an equivalent resonator with nontilted mirrors for analysis.
    • To investigate the impact of mirror misalignment on resonator eigenmode losses.

    Main Methods:

    • Utilizing a previously developed waveguide approach.
    • Defining an equivalent resonator with asymmetrically placed waveguide terminations.
    • Calculating waveguide mode reflection coefficients.
    • Inserting coefficients into the resonance equation to find eigenmode losses.

    Main Results:

    • Numerical calculations for low-loss detached modes in symmetrical resonators with equally tilted mirrors were performed.
    • Solutions agree with prior work for moderate Fresnel numbers and extend to large Fresnel numbers.
    • Mirror misalignment was found to introduce additional ripples in power loss versus Fresnel number curves.

    Conclusions:

    • The waveguide approach effectively models unstable strip resonators with tilted, unequal mirrors.
    • Mirror misalignment significantly affects resonator power loss, introducing ripple phenomena.
    • Ray-optical interpretation involving edge diffraction explains the observed ripple behavior.