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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...
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Zener diodes are specialized semiconductor devices designed to operate in the reverse breakdown region, where they allow current to flow into the cathode, making it positive relative to the anode. This reverse operation distinguishes Zener diodes from conventional diodes and enables their use in various applications, most notably as voltage regulators. One of the defining characteristics of Zener diodes is their nearly vertical I-V (current-voltage) characteristic curve above a certain...
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Aberrations of a horizontal-vertical depolarizer.

S C McClain, R A Chipman, L W Hillman

    Applied Optics
    |August 20, 2010
    PubMed
    Summary

    Aberrations in imaging through uniaxial plates and horizontal-vertical (HV) depolarizers are estimated using ray-trace equations. HV depolarizers introduce astigmatism and image doubling, unlike isotropic plates, with image separation depending on retardance variation.

    Area of Science:

    • Optics
    • Materials Science
    • Physics

    Background:

    • Uniaxial birefringent materials exhibit unique optical properties.
    • Horizontal-vertical (HV) depolarizers use crossed birefringent wedges for spatial pseudodepolarization.
    • Aberrations in optical systems can degrade image quality.

    Purpose of the Study:

    • To derive third-order aberration estimates for imaging through uniaxial plates and HV depolarizers.
    • To analyze the aberrations introduced by HV depolarizers compared to isotropic plates.
    • To investigate the factors influencing image separation in HV depolarizers.

    Main Methods:

    • Utilized ray-trace equations for uniaxial birefringent materials.
    • Developed third-order aberration estimates.

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  • Employed a computer program for exact birefringent ray tracing.
  • Generated spot diagrams to validate aberration estimates.

    • Main Results:

    • Identified spherical aberration, astigmatism, and image doubling as principal aberrations in HV depolarizers for on-axis objects.
    • Demonstrated that astigmatism and image doubling are introduced by the birefringent wedges in HV depolarizers.
    • Showed image separation is proportional to retardance variation, independent of thickness, wedge angle, or refractive indices.

    Conclusions:

    • Third-order aberration estimates accurately predict imaging performance through uniaxial plates and HV depolarizers.
    • HV depolarizers introduce specific aberrations not present in isotropic materials.
    • Retardance variation is the key parameter controlling image separation in HV depolarizers.