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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Fabrication and Testing of Photonic Thermometers
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Optimizing LERP systems: opto-thermal steady-state simulation analysis and experimental validation.

Elisavet Chatzizyrli, Angeliki Afentaki, Moritz Hinkelmann

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    Summary

    This study presents a simulation strategy for laser-excited remote phosphor (LERP) systems, coupling optical and thermal effects to model phosphor properties. The validated model aids in optimizing LERP system performance and reliability.

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    Area of Science:

    • Solid-state lighting
    • Opto-thermal analysis
    • Materials science

    Background:

    • Thermal stability of phosphors is critical for reliable laser-excited remote phosphor (LERP) systems.
    • Existing models often do not account for temperature-dependent phosphor properties.

    Purpose of the Study:

    • To develop and validate a simulation strategy that couples optical and thermal effects in LERP systems.
    • To model phosphor properties as a function of temperature for improved accuracy.
    • To demonstrate the utility of the simulation framework for LERP system optimization.

    Main Methods:

    • Developed a simulation framework in Python, interfacing with Zemax OpticStudio (optical analysis) and ANSYS Mechanical (thermal analysis).
    • Implemented a steady-state opto-thermal analysis model.
    • Experimentally validated the model using Ce:YAG single-crystals with polished and ground surfaces in transmissive and reflective setups.

    Main Results:

    • Simulated and experimental peak temperatures showed good agreement for both polished and ground phosphors.
    • The opto-thermal model accurately predicts system behavior under operational conditions.
    • Demonstrated the capability of the simulation for optimizing LERP system design.

    Conclusions:

    • The coupled opto-thermal simulation strategy provides a validated approach for analyzing LERP systems.
    • Accurate modeling of temperature-dependent phosphor properties is essential for reliable LERP system design.
    • This simulation framework can be used to optimize LERP systems for enhanced performance and longevity.