solid angle

简明释义

立体角

英英释义

例句

1.In physics, the solid angle is measured in steradians, which are used to quantify three-dimensional angles.

在物理学中，立体角以斯特拉迪安为单位，用于量化三维角度。

2.The solid angle of a cone is defined as the area of the cone's surface projected onto a unit sphere.

立体角的定义是锥体表面投影到单位球体上的面积。

3.The concept of solid angle is crucial in understanding how light spreads from a point source.

理解光从点光源传播的方式时，立体角的概念至关重要。

4.When designing a camera lens, engineers must consider the solid angle to ensure optimal light capture.

在设计相机镜头时，工程师必须考虑立体角以确保最佳的光捕获。

5.In astronomy, the solid angle helps astronomers measure the area of the sky that a celestial object occupies.

在天文学中，立体角帮助天文学家测量天体占据的天空面积。

作文

In the realm of geometry and physics, the concept of a solid angle is fundamental yet often overlooked. A solid angle is a three-dimensional analogue of a two-dimensional angle. Just as a two-dimensional angle measures the amount of rotation needed to bring one line or ray into alignment with another, a solid angle measures the amount of space an object occupies in three-dimensional space. The unit of measurement for a solid angle is the steradian (sr), which quantifies how much of the sphere's surface area is covered by the angle. To better understand this concept, consider a sphere. A complete sphere encompasses a total of 4π steradians. Therefore, if we were to visualize a solid angle originating from a point and extending outward to intersect the surface of a sphere, the size of that solid angle would depend on how much of the sphere’s surface is enclosed by it.The significance of solid angles extends beyond mathematics into various fields such as astronomy, optics, and engineering. For example, in astronomy, when we observe celestial bodies, we often need to calculate the solid angle subtended by these objects as viewed from Earth. This helps astronomers determine the apparent size of stars and galaxies in the night sky. Similarly, in optics, understanding solid angles is crucial for designing lenses and optical instruments. The performance of these devices can be influenced by how light is distributed across different solid angles.In engineering, particularly in the field of radiation and heat transfer, solid angles play a critical role in determining how energy is emitted, absorbed, or scattered by surfaces. Engineers often use the concept of solid angles to model and predict how heat radiates from a source and how it interacts with surrounding materials. By calculating the solid angle associated with a particular surface, they can optimize designs for efficiency and effectiveness.Moreover, the concept of solid angles is essential in computer graphics and simulations. When rendering three-dimensional scenes, understanding how light interacts with objects from various solid angles is vital for creating realistic images. Techniques such as ray tracing rely heavily on calculations involving solid angles to simulate the way light travels and interacts in a virtual environment.In conclusion, the concept of a solid angle is not just an abstract mathematical idea; it has practical implications across multiple disciplines. Whether in the study of the universe, the design of optical devices, the analysis of thermal radiation, or the creation of digital imagery, solid angles provide a framework for understanding and quantifying three-dimensional space. As we continue to explore and innovate in science and technology, the importance of mastering concepts like solid angles cannot be overstated. It empowers us to make informed decisions and advancements in our understanding of the world around us.

在几何和物理学领域，立体角的概念是基础但常常被忽视的。立体角是二维角度的三维类比。就像二维角度测量将一条线或光线旋转到与另一条线对齐所需的旋转量一样，立体角测量一个物体在三维空间中占据的空间量。立体角的测量单位是斯特拉迪安（sr），它量化了角度覆盖的球面面积的多少。为了更好地理解这个概念，可以考虑一个球体。一个完整的球体总共包含4π个斯特拉迪安。因此，如果我们想象一个从某个点发出的立体角向外延伸并与球的表面相交，该立体角的大小将取决于它所包围的球面表面的面积。立体角的重要性超越了数学，延伸到天文学、光学和工程等多个领域。例如，在天文学中，当我们观察天体时，通常需要计算这些物体从地球的视角所成的立体角。这有助于天文学家确定星星和星系在夜空中的明显大小。同样，在光学中，理解立体角对于设计透镜和光学仪器至关重要。这些设备的性能可能会受到光线在不同立体角中的分布的影响。在工程学中，特别是在辐射和热传递领域，立体角在确定能量如何被表面发射、吸收或散射方面发挥着关键作用。工程师们常常使用立体角的概念来模拟和预测热量从源头辐射出来以及与周围材料的相互作用。通过计算特定表面相关的立体角，他们可以优化设计以提高效率和效果。此外，立体角的概念在计算机图形学和模拟中也是必不可少的。在渲染三维场景时，理解光线如何从各种立体角与物体相互作用对于创建逼真的图像至关重要。光线追踪等技术在很大程度上依赖于涉及立体角的计算，以模拟光线在虚拟环境中的传播和相互作用。总之，立体角的概念不仅仅是一个抽象的数学思想；它在多个学科中具有实际意义。无论是在研究宇宙、设计光学设备、分析热辐射，还是创建数字图像，立体角为理解和量化三维空间提供了框架。随着我们在科学和技术领域的不断探索和创新，掌握像立体角这样的概念的重要性不容小觑。它使我们能够做出明智的决策，并推动我们对周围世界的理解。