Optical acceptance function of modified compound parabolic concentrators with linear corrugated reflectors
Applied Optics
|February 21, 2008
Summary
Linear corrugated reflectors enhance acceptance in meridian planes for reflective concentrators. This study analyzes troughlike compound parabolic concentrators (CPCs) with these reflectors, finding potential applications in solar energy systems.
Area of Science:
- Optical Engineering
- Solar Energy Concentration
Background:
- Standard reflective cylindrical concentrators exhibit constant acceptance functions in the meridian plane across oblique incidence planes.
- Modifying reflective surfaces can alter angular acceptance properties, potentially improving performance for specific applications.
Purpose of the Study:
- To investigate the optical properties of troughlike compound parabolic concentrators (CPCs) with linear corrugated reflectors.
- To analyze the angular acceptance function of a modified CPC with a concentration C = x.
Main Methods:
- A ray-tracing study was conducted to evaluate the optical performance.
- Calculations focused on the angular acceptance for CPCs featuring linear corrugated reflectors.
Main Results:
- Linear corrugated structures increase acceptance in the meridian plane.
- This enhancement comes at the cost of reduced acceptance for more oblique incidence angles.
- Angular acceptance calculations for a modified CPC (C=x) are presented.
Conclusions:
- Troughlike CPCs with linear corrugated reflectors offer a trade-off between meridian and oblique incidence acceptance.
- These modified CPCs show promise as secondary concentrators for tracking parabolic troughs in solar energy applications.
More Related Videos
Related Concept Videos
Reflective Property of Parabolas
A parabola is a basic type of conic section that results from the intersection of a plane with a double-napped cone in a direction parallel to one of the cone's sides. This U-shaped curve has a distinctive reflective property: all incoming rays parallel to its axis of symmetry are directed toward a single point, known as the focus. This property is widely utilized in optical and communication technologies that require precise signal concentration.In analytic geometry, a parabola is defined as...
Surface Area Calculations
Surface area calculations for a graph z = f(x, y) are fundamental in engineering applications involving curved structures such as satellite dishes. A parabolic dish reflects communication signals efficiently, but engineers must determine its exact curved surface area to estimate coating materials, fabrication costs, and structural requirements. Since the rim of the dish forms a circular boundary, the surface area is calculated over a circular domain in the xy-plane.Parametric Representation of...
Focusing of Light in the Eye
Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
Parabolas
A parabola is a fundamental curve in the family of conic sections arising from the intersection of a plane with a double-napped cone when the plane is parallel to the cone’s slant height. This geometric condition yields a unique open curve defined by its equidistance from a fixed point, the focus, and a fixed line, the directrix.A parabola is mathematically defined as the locus of all points in a plane that are equidistant from the focus and the directrix. In Cartesian coordinates, the standard...
Polar Coordinates: Problem Solving
Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos(2θ), features four symmetric lobes, each...
Centroid for the Paraboloid of Revolution
The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in mechanical engineering due to its advantageous structural properties, such as strength against stress concentration points and rotational symmetry.
The centroid for the paraboloid of revolution is the point where all the mass of the paraboloid is concentrated. This centroid is important for engineering applications, as it determines how forces are...
The centroid for the paraboloid of revolution is the point where all the mass of the paraboloid is concentrated. This centroid is important for engineering applications, as it determines how forces are...


