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Related Concept Videos

Dielectric Polarization in a Capacitor01:31

Dielectric Polarization in a Capacitor

The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
Standing Waves in a Cavity01:28

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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:
Potential Due to a Polarized Object01:29

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A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
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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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Related Experiment Video

Updated: Jun 22, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

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Published on: August 5, 2013

Polarization dependence in waveguide-coupled micro-resonators.

M Chin

    Optics Express
    |May 26, 2009
    PubMed
    Summary
    This summary is machine-generated.

    Polarization sensitivity in micro-resonator filters arises from waveguide asymmetry. Researchers identified a critical waveguide width for polarization-independent operation, enabling new applications.

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    Area of Science:

    • Photonics
    • Nanophotonics
    • Optical Engineering

    Background:

    • Micro-resonator filters are crucial optical components.
    • Polarization sensitivity in these filters limits their performance.
    • This sensitivity stems from asymmetry in nanophotonic waveguides.

    Purpose of the Study:

    • To investigate the polarization sensitivity of micro-resonator filters.
    • To understand the role of waveguide geometry in polarization dependence.
    • To propose a design for polarization-independent operation.

    Main Methods:

    • Simulations of polarization-dependent coupling in directional couplers.
    • Analysis of propagation constants for TE and TM modes in waveguides of varying widths.
    • Theoretical design of polarization-independent waveguides.

    Main Results:

    • Demonstrated complete power transfer in ultra-small directional couplers.
    • Identified a critical waveguide width where TE and TM propagation constants are equal.
    • Simulated polarization dependence across different waveguide widths.

    Conclusions:

    • Waveguide asymmetry is the primary cause of polarization sensitivity.
    • A critical width exists for achieving polarization-independent, single-mode waveguides.
    • This design has significant implications for micro-resonator applications.