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The z-transform is a powerful tool for analyzing practical discrete-time systems, often represented by linear difference equations. Solving a higher-order difference equation requires knowledge of the input signal and the initial conditions up to one term less than the order of the equation.
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Gradient Echo Quantum Memory in Warm Atomic Vapor
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THz generation using a reflective stair-step echelon.

Benjamin K Ofori-Okai, Prasahnt Sivarajah, W Ronny Huang

    Optics Express
    |November 3, 2017
    PubMed
    Summary
    This summary is machine-generated.

    We developed a new method for terahertz (THz) generation using a lithium niobate stair-step echelon. This technique offers improved pulse front tilting and THz output compared to traditional gratings.

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    Area of Science:

    • Optics and Photonics
    • Terahertz (THz) Science and Technology
    • Materials Science

    Background:

    • Efficient generation of terahertz (THz) radiation is crucial for various scientific and technological applications.
    • Traditional methods using gratings often suffer from significant angular dispersion, limiting performance.
    • Lithium niobate is a promising material for nonlinear optical processes, including THz generation.

    Purpose of the Study:

    • To introduce and demonstrate a novel reflective stair-step echelon structure for THz generation in lithium niobate.
    • To compare the performance of the echelon structure against high groove-density gratings.
    • To characterize the generated THz pulses and assess the efficiency of the method.

    Main Methods:

    • Utilizing a reflective stair-step echelon fabricated on lithium niobate.
    • Employing broadband 800 nm laser pulses (0.95 mJ energy, 70 fs duration) as the excitation source.
    • Characterizing THz output using 1-lens and 3-lens imaging systems at room and cryogenic temperatures.

    Main Results:

    • The stair-step echelon produced a discretely tilted pulse front with reduced angular dispersion.
    • Generated THz pulses achieved field strengths up to 500 kV/cm and pulse energies up to 3.1 μJ.
    • The highest optical-to-THz conversion efficiency reached 0.33%.

    Conclusions:

    • The novel reflective stair-step echelon provides an effective and efficient method for THz generation in lithium niobate.
    • The echelon structure offers advantages in terms of reduced angular dispersion and ease of experimental implementation.
    • This technique shows potential for advancing THz spectroscopy and imaging applications.