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ABCD matrix for reflection and refraction of laser beam at tilted concave and convex elliptic paraboloid interfaces and studying laser beam reflection from a tilted concave parabola of revolution | ||
| Journal of Electrical and Computer Engineering Innovations (JECEI) | ||
| مقاله 1، دوره 3، شماره 1 - شماره پیاپی 5، فروردین 2015، صفحه 1-11 اصل مقاله (1.16 M) | ||
| نوع مقاله: Original Research Paper | ||
| شناسه دیجیتال (DOI): 10.22061/jecei.2015.338 | ||
| نویسندگان | ||
| M. Mansour Abadi1؛ Z. Ghassemlooy* 1؛ D. Smith2؛ W. Pang Ng1 | ||
| 1Optical Communications Research Group (NCRLab), Northumbria University, NE1 8ST, UK | ||
| 2Microwave Imaging Research Group, Northumbria University, NE1 8ST, UK | ||
| تاریخ دریافت: 13 اسفند 1393، تاریخ بازنگری: 02 فروردین 1394، تاریخ پذیرش: 02 فروردین 1394 | ||
| چکیده | ||
| Studying Gaussian beam is a method to investigate laser beam propagation and ABCD matrix is a fast and simple method to simulate Gaussian beam propagation in different mediums. Of the ABCD matrices studied so far, reflection and refraction matrices at various surfaces have attracted a lot of researches. However in previous work the incident beam and the principle axis of surface are in parallel. As an extension to those investigations, a general scheme that the incident beam is oblique is discussed here and the full analysis of the reflection and refraction of a Gaussian beam at the surface of a tilted concave/convex elliptic paraboloid surface is addressed. Based on the optical phase matching, analytic mathematical equations are derived for the spot size and the wavefront radius of a beam. Expressions are converted into the ABCD matrices, which are more convenient and practical to use. Finally, a practical case is analyzed by applying the obtained formulas. This analysis is important since paraboloid surfaces in optics or terahertz waves are used as mirrors or lenses. | ||
| کلیدواژهها | ||
| Laser Beam؛ Gaussian Beam؛ ABCD Matrix؛ Reflection؛ Refraction؛ Tilted Surface؛ Convex/Concave Elliptic؛ Paraboloid Surface | ||
| مراجع | ||
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