کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7224011 | 1470565 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Evolutes of (n, m)-cusp curves and application in optical system
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The focal properties of generic curvilinear planar mirrors illuminated by a coplanar light source are very clear. However, the case is vague when the mirror has singularities. In this paper, we define the evolutes of (n, m)-cusp curves in Euclidean 2-space. The (n, m)-cusp curve is a generalization of regular curves which might have singularities. Furthermore, we study the behavior and the singular property of the evolute at the point corresponding to the (n, m)-cusp of the base curve. As an application, we study the caustic of the curvilinear planar mirror which is illuminated by a coplanar light source when the mirror is an (n, m)-cusp curve.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Optik - Volume 162, June 2018, Pages 42-53
Journal: Optik - Volume 162, June 2018, Pages 42-53
نویسندگان
Cuilian Zhang, Donghe Pei,