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Related Concept Videos

Cascaded Op Amps01:16

Cascaded Op Amps

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Operational amplifiers (op-amps) are versatile electronic components that can be interconnected in a cascade - one after another in a linear sequence. This cascading is possible due to their infinite input resistance and zero output resistance, allowing them to maintain their input-output relationships even when connected in series.
In a cascaded system, each op-amp is referred to as a stage. The output of one stage drives the input of the subsequent stage. As the input signal passes through...
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Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
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Characteristics of Series Resonant Circuit

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Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
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Parallel Resonance01:23

Parallel Resonance

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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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In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
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Related Experiment Video

Updated: Apr 28, 2026

Fabrication of Nanopillar-Based Split Ring Resonators for Displacement Current Mediated Resonances in Terahertz Metamaterials
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Plasmonic bandpass filters with cascaded rectangular ring resonators.

Chyong-Hua Chen

    Optics Letters
    |May 31, 2014
    PubMed
    Summary

    We designed a nanoplasmonic bandpass filter using rectangular ring resonators. This filter achieves a flat-top spectral characteristic, ideal for precise optical signal processing.

    Area of Science:

    • Optoelectronics
    • Nanophotonics
    • Plasmonics

    Background:

    • Plasmonic waveguides offer miniaturization potential for optical devices.
    • Achieving flat-top spectral characteristics in filters is crucial for signal integrity.
    • Metal-insulator-metal (MIM) waveguides are key components in nanoplasmonic devices.

    Purpose of the Study:

    • To theoretically analyze and design a nanoplasmonic bandpass filter.
    • To achieve flat-top spectral characteristics for improved filtering performance.
    • To explore the use of cascaded rectangular ring resonators in MIM waveguides.

    Main Methods:

    • Utilized an equivalent lumped circuit model for transmission line to plasmonic waveguide analysis.
    • Applied thin-film design methodology for filter realization.

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  • Employed the transmission line model and 2D finite difference time domain (FDTD) method for numerical demonstration.

    • Main Results:

    • The symmetric rectangular ring resonator exhibits Fabry-Perot-like transmission properties.
    • A plasmonic bandpass filter with a squared passband was designed.
    • Numerical simulation of a cascaded two-rectangular ring resonator structure validated the design.

    Conclusions:

    • Cascaded rectangular ring resonators in MIM waveguides can create high-performance nanoplasmonic bandpass filters.
    • The proposed design enables flat-top spectral characteristics, beneficial for optical communications and signal processing.
    • The employed theoretical and numerical methods provide a robust framework for designing such plasmonic devices.