A convenient for practical use new theoretical approach describing a nonlinear frequency response of the multi-resonant nonlinear ring cavities (RC) to an intense monochromatic wave action is developed. The approach closely relates the many-valuednesses of the RC frequency response and the dispersion relation of a waveguide, from which the cavity is produced. Arising of the multistability regime in the nonlinear RC is treated. The threshold and the dynamic range of the bistability and tristability regimes for an optical ring cavity with the Kerr nonlinearity are derived and discussed.

中文翻译：

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多谐振环腔的非线性频率响应

开发了一种方便实用的新理论方法，该方法描述了多共振非线性环形腔（RC）对强烈单色波作用的非线性频率响应。该方法将RC频率响应的多值性与波导的色散关系紧密联系在一起，由此产生空腔。处理了非线性RC中的多稳定状态。推导并讨论了具有Kerr非线性的光学环形腔的双稳态和三稳态态的阈值和动态范围。