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تسجيل مستخدم جديدتحويل الخطوط الخاصة والصفرات في الأدوات البصرية ذات الفهرس المصنف: طريقة لتصميم الأجهزة العملية
Transmutation of singularities and zeros in graded index optical instruments: a methodology for designing practical devices
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إننا نصف الوضعية التصميمية لتعديل توزيع الفائق الإنزيم لأدوات الضوء الذاتية التدرج الإنزيم التي تشمل الأصدارات أو الصفر في توزيع الإنزيم الخاص بها. يحافظ العملية على أداء الجهاز بينما يؤدي التوزيعات التدرجة إلى توزيعات ذاتية الديلكترية، ولا تتطلب المواد بقيم غير حقيقية، والتي تتناسب مع الوسط المحدد. ويتم الحصول على هذا عن طريق تحويل الأصدارات (أو الصفر) باستخدام النظام التحويلي للضوء، ولكن مع شرط حاشية إضافي يتطلب توازن التحويل الجغرافي للإجابة الحدودية. يضمن هذا الشرط الإضافي تناسب الإنزيم للوسط المحدد عندما يتم مقايسة ملامح السماحية والشدة المتغيرة المكانية إلى قيم محققة. نحن نظهر الطريقة في بعض التفصيل لعدسة ايتون، قبل أن نصف ملامح القرص الخفي والعدسات المتعددة الأجزاء.
We describe a design methodology for modifying the refractive index profile of graded-index optical instruments that incorporate singularities or zeros in their refractive index. The process maintains the device performance whilst resulting in graded profiles that are all-dielectric, do not require materials with unrealistic values, and that are impedance matched to the bounding medium. This is achieved by transmuting the singularities (or zeros) using the formalism of transformation optics, but with an additional boundary condition requiring the gradient of the co- ordinate transformation be continuous. This additional boundary condition ensures that the device is impedance matched to the bounding medium when the spatially varying permittivity and permeability profiles are scaled to realizable values. We demonstrate the method in some detail for an Eaton lens, before describing the profiles for an invisible disc and multipole lenses.
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