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<p>In this paper, we investigate the interplay between disorder-induced localization and magneto-optical (MO) effects in one-dimensional magnetophotonic crystals (MPCs) composed of alternating Ce:YIG&#xa0;and GGG layers with randomized thicknesses. Using the transfer matrix method, we analyze the localization length and MO responses across polar, longitudinal, and transverse magnetic geometries for wavelengths inside and outside the photonic band gap (PBG). Our results reveal that disorder strength critically modulates localization: while it enhances transmission at PBG edges (consistent with), it suppresses MO effects in longitudinal/transverse geometries, contrasting with the polar case where nonreciprocal localization emerges for circular polarizations. Notably, in the polar geometry, disorder amplifies Faraday rotation. These findings align with recent studies on disorder-enhanced MO responses while demonstrating the tunability of localization via magnetic and structural parameters. The work provides design principles for disordered MPCs in applications such as optical isolation, sensors, and tuneable filters.</p>

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Nonreciprocal Anderson Localization in Disordered Magnetophotonic Crystals: Interplay of Birefringence and Thickness Disorder

  • 期刊论文

  • 发表日期：

    2025年10月22日

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  • Mehrnaz Sarabandi,
  • Mojtaba Golshani,
  • Mehdi Zamani

摘要

In this paper, we investigate the interplay between disorder-induced localization and magneto-optical (MO) effects in one-dimensional magnetophotonic crystals (MPCs) composed of alternating Ce:YIG and GGG layers with randomized thicknesses. Using the transfer matrix method, we analyze the localization length and MO responses across polar, longitudinal, and transverse magnetic geometries for wavelengths inside and outside the photonic band gap (PBG). Our results reveal that disorder strength critically modulates localization: while it enhances transmission at PBG edges (consistent with), it suppresses MO effects in longitudinal/transverse geometries, contrasting with the polar case where nonreciprocal localization emerges for circular polarizations. Notably, in the polar geometry, disorder amplifies Faraday rotation. These findings align with recent studies on disorder-enhanced MO responses while demonstrating the tunability of localization via magnetic and structural parameters. The work provides design principles for disordered MPCs in applications such as optical isolation, sensors, and tuneable filters.