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Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

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In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
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Arbitrary-ratio 1 × 2 power splitter based on asymmetric multimode interference.

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    Researchers developed an arbitrary-ratio 1x2 multimode interference (MMI) power splitter for integrated photonics. This novel device allows continuous adjustment of power splitting ratios, overcoming limitations of conventional MMI splitters.

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    Area of Science:

    • Integrated photonics
    • Waveguide devices
    • Optical components

    Background:

    • Conventional multimode interference (MMI) power splitters offer limited, discrete splitting ratios.
    • Achieving arbitrary power splitting ratios is crucial for advanced integrated photonic applications.

    Purpose of the Study:

    • To present a novel 1x2 MMI power splitter capable of arbitrary power splitting ratios.
    • To demonstrate continuous tunability of the splitting ratio from 100:0 to 50:50.

    Main Methods:

    • Numerical simulations and experimental validation.
    • Modification of the MMI region by breaking its symmetry.
    • Fabrication and characterization of the proposed power splitter.

    Main Results:

    • An arbitrary-ratio 1x2 MMI power splitter was successfully designed and tested.
    • Continuous power splitting ratios from 100:0 to 50:50 were achieved.
    • The device maintained low excess loss, weak wavelength dependence, and large fabrication tolerance.

    Conclusions:

    • Breaking the symmetry of the multimode region enables arbitrary power splitting ratios in MMI devices.
    • The proposed MMI power splitter offers a versatile solution for integrated photonics.
    • The device retains the key advantages of traditional MMI splitters.