2003
DOI: 10.1364/josaa.20.001546
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Polarization independence of a one-dimensional grating in conical mounting

Abstract: We demonstrate theoretically a polarization-independent guided-mode resonant filter with only a one dimensional grating. A rigorous method, the modal method by Fourier expansion, is used to compute the diffracted efficiencies of the grating. Wave-vector analysis fails to correctly design a polarization-independent structure. We show that a rigorous analysis of the resonances must be employed to obtain such a device; using a pole approach, we study the effects of grating parameters on the resonances of both pol… Show more

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Cited by 56 publications
(27 citation statements)
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“…To our knowledge, less attention has been paid to polarization-independent one-dimensional grating GMR filters, although GMR filters have been extensively studied in recent years. The reflection of a onedimensional grating structure depends essentially on the polarization state of the incidence light, and for the same GMR structure, the resonance wavelengths of TM-polarized and TE-polarized lights will locate at different wavelengths [12]. This characteristic limits the usage of this kind of GMR filter in the nonpolarizing field.…”
mentioning
confidence: 99%
“…To our knowledge, less attention has been paid to polarization-independent one-dimensional grating GMR filters, although GMR filters have been extensively studied in recent years. The reflection of a onedimensional grating structure depends essentially on the polarization state of the incidence light, and for the same GMR structure, the resonance wavelengths of TM-polarized and TE-polarized lights will locate at different wavelengths [12]. This characteristic limits the usage of this kind of GMR filter in the nonpolarizing field.…”
mentioning
confidence: 99%
“…Yet, most of the perturbative methods developed for guided mode resonance gratings treat the scalar problem (typically, a 1D grating illuminated along a direction of periodicity). Now, the vectorial case (1D grating illuminated under conical incidence, or 2D grating) presents a strong interest, especially when polarization independent configurations are sought [26][27][28][29][30]. The complexity of the behavior of resonant structures with respect to the incident polarization is then a strong incentive for developing an approximate model giving a physical insight of the vectorial resonance phenomenon [31,32].…”
Section: Introductionmentioning
confidence: 99%
“…Similarly high efficiency polarization independent designed and fabricated gratings in fused silica for wideband transmission are used in chirped pulse applications 2 . Narrowband polarization independent 1D guided mode resonance filters GMRFs are designed at conical incidence for simultaneous excitation of two modes, the spectral position and width are controlled by Polymer grating duty cycles and depth respectively for TE and TM modes 3 . Similarly, narrowband reflection filters as the resonance grating filters showing polarization independence behavior by considering orthogonal incidence plane parallel to grating grooves with the result that a small change in the conical angle can lead to a large drop in the efficiency and distortion of lineshape of the resonance peak 4 .…”
Section: Introductionmentioning
confidence: 99%