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<p>We present a method for obtaining the leaky modes and their losses in arbitrary leaky fiber structures. We first obtain the guided part of a leaky mode as a ‘limiting’ guided mode of the core structure of the fiber. Next, the ‘limiting’ guided mode is propagated through the actual leaky fiber to obtain the propagation loss. In this way we obtain the real and imaginary parts of the effective index of the leaky mode. Traditionally, the complex effective index has been obtained either by direct solutions of the complex eigenvalue equation which often presents convergence difficulties, or by involved computations in the transfer matrix method (TMM) to obtain a particular functional behavior of the field characteristics as a function of the propagation constant values to obtain the peak position and the width of the obtained function which give, respectively, the real and imaginary parts of the propagation constant. Our method involves only real eigenvalue problem and straightforward numerical propagation of the field. The method works for all modes and for any arbitrary fiber. Comparison with the available results shows the effectivity and applicability of the method.</p>

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A simple method to obtain leaky modes and their power loss in arbitrary leaky optical fibers

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • Ajay Kumar,
  • Anurag Sharma

摘要

We present a method for obtaining the leaky modes and their losses in arbitrary leaky fiber structures. We first obtain the guided part of a leaky mode as a ‘limiting’ guided mode of the core structure of the fiber. Next, the ‘limiting’ guided mode is propagated through the actual leaky fiber to obtain the propagation loss. In this way we obtain the real and imaginary parts of the effective index of the leaky mode. Traditionally, the complex effective index has been obtained either by direct solutions of the complex eigenvalue equation which often presents convergence difficulties, or by involved computations in the transfer matrix method (TMM) to obtain a particular functional behavior of the field characteristics as a function of the propagation constant values to obtain the peak position and the width of the obtained function which give, respectively, the real and imaginary parts of the propagation constant. Our method involves only real eigenvalue problem and straightforward numerical propagation of the field. The method works for all modes and for any arbitrary fiber. Comparison with the available results shows the effectivity and applicability of the method.