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In small-signal analysis, a MOSFET transistor amplifier acts as a linear amplifier when operating in its saturation region. The gate-to-source voltage (VGS) of the MOSFET is the sum of the DC biasing voltage and the small time-varying input signal. This combination sets up the operating point and modulates the drain current (ID) that flows from the drain to the source. When a small AC signal is superimposed on the DC bias voltage at the gate, the instantaneous drain current comprises three...
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Efficient general method for numerically modeling laser pulse propagation, overlap, and lifetime effects in

F X Morrissey, M D Rotter, A C Erlandson

    Optics Express
    |June 14, 2025
    PubMed
    Summary

    A new numerical method, the alternating propagation-population laser energetics method (APPLE), efficiently models laser amplifier dynamics, including pulse overlap and lifetime effects, with minimal computational cost.

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    Area of Science:

    • Numerical methods in laser physics
    • Computational electromagnetics
    • Nonlinear optics

    Background:

    • Modeling laser amplifiers requires accounting for complex phenomena like incoherent pulse overlap and finite population lifetimes.
    • Existing numerical methods can be computationally intensive or lack generality.

    Purpose of the Study:

    • To develop an efficient and general numerical method for simulating laser amplifier dynamics.
    • To accurately model incoherent pulse overlap and lifetime effects.

    Main Methods:

    • Developed the alternating propagation-population laser energetics method (APPLE), a time-dependent numerical approach.
    • APPLE updates space-time-dependent populations and pulse energetics consistently within each time step.
    • Validated APPLE against the semi-discrete coupled rate equation (SDRE) method and analytic formalisms.

    Main Results:

    • APPLE demonstrates conceptual simplicity, ease of implementation, and reduced computational cost compared to SDRE.
    • Simulations showed relative differences in energetics and power pulse shape on the order of 1% between APPLE and SDRE.
    • The method was validated across a wide range of initial conditions.

    Conclusions:

    • APPLE provides an efficient and accurate alternative for simulating laser amplifier behavior.
    • The method's simplicity and low computational cost make it suitable for various applications in laser design and analysis.