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Related Concept Videos

Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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For the first part of...
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Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Gradient-probability-driven discrete search algorithm for on-chip photonics inverse design.

Shanglin Yang, Hao Jia, Lei Zhang

    Optics Express
    |October 7, 2021
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    Summary
    This summary is machine-generated.

    A new algorithm, gradient-probability-driven discrete search (GPDS), enables efficient inverse design for compact photonic devices. This discrete search method improves performance and stability over traditional approaches for on-chip photonics.

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    Area of Science:

    • Photonics
    • Computational electromagnetics
    • Materials science

    Background:

    • Gradient-based algorithms offer high convergence for photonic inverse design but struggle with discrete variables.
    • Pixel-based discrete search methods lack the efficiency of gradient approaches.
    • On-chip photonic devices require high performance and extreme compactness, necessitating advanced design tools.

    Purpose of the Study:

    • To introduce a novel gradient-probability-driven discrete search (GPDS) algorithm for photonic inverse design.
    • To bridge the gap between gradient-based methods and discrete search for pixel-based photonic devices.
    • To enhance device performance, stability, and design flexibility in silicon photonics.

    Main Methods:

    • Developed a GPDS algorithm connecting gradient information with discrete pixel values via probability sampling.
    • Implemented GPDS as an intrinsic discrete search, avoiding external discretization steps.
    • Compared GPDS performance against brute-force search (BFS) and traditional gradient methods.

    Main Results:

    • GPDS demonstrated improved device performance and enhanced stability compared to BFS and traditional gradient methods.
    • The algorithm achieved high-performance silicon photonic structures in fewer iterations.
    • GPDS exhibited strong multi-objective optimization capabilities and flexible, manufacturing-friendly geometry control.

    Conclusions:

    • The GPDS algorithm is an effective discrete search method for photonic inverse design.
    • GPDS offers significant advantages in performance, stability, and design efficiency for on-chip photonic applications.
    • GPDS shows potential as a powerful tool for solving complex multi-objective inverse design problems in photonics.