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Ray (optics)

physical science Maturity 7-9 Next article →

In the study of optics, a ray is an idealized geometrical model used to represent light.

Hamiltonian Optics-Rays and Wavefronts
Hamiltonian Optics-Rays and Wavefronts

While light actually moves as electromagnetic waves, scientists use rays to simplify how we view its movement. A ray is defined as a line that is perpendicular to the light's wavefronts. It points in the specific direction of energy flow. This model is incredibly useful because it allows us to treat light as discrete paths. By doing this, we can use mathematical tools to analyze how light travels through complex optical systems.

To understand how rays work, we must look at how they interact with different materials. When a ray strikes a surface, it is called an incident ray. The angle between this ray and the perpendicular line to the surface is the angle of incidence. If the ray bounces off the surface, it becomes a reflected ray. According to the Law of Reflection, the angle of reflection is always equal to the angle of incidence for non-scattering surfaces. If the light passes through the surface instead, it is called a transmitted ray. The angle of this new path is known as the angle of refraction, which is determined by Snell's law. During this process, the total power must be conserved. The power in the incident ray must equal the sum of the power in the reflected ray, the refracted ray, and any power absorbed by the surface.

Optical systems use many specific types of rays to help scientists model how images are formed. One important type is the marginal ray, which is also called an a-ray. This ray starts at a point on the optical axis and touches the edge of the system's aperture stop. Marginal rays are vital because they help locate where a real or virtual image will form. Another key type is the chief ray, or b-ray. This ray starts at the edge of an object and passes through the center of the aperture stop. Together, the marginal and chief rays define the Lagrange invariant. This value characterizes the throughput, or etendue, of the entire optical system.

Scientists also categorize rays based on the geometric planes they inhabit. A meridional ray, or tangential ray, stays within a single plane that contains both the object point and the system's optical axis. This specific plane is called the meridional or tangential plane. In contrast, a skew ray does not stay in such a plane. Skew rays do not cross the optical axis and are not parallel to it. There are also sagittal rays, which propagate in a plane perpendicular to the meridional plane. The principal ray is unique because it serves as both a sagittal and a meridional ray.

In many calculations, researchers use a simplified method called the paraxial approximation. This involves modeling paraxial rays, which are rays that make small angles to the optical axis. These rays stay very close to the axis throughout the entire system. However, when more precision is needed, scientists use finite rays or real rays. These are traced without using the paraxial approximation. In systems that lack symmetry around the optical axis, researchers might use parabasal rays. These rays propagate close to a defined base ray rather than the central axis. This allows for more accurate computer modeling of complex real-world systems.

Entrance pupil - 4, 2024-07-18
Entrance pupil - 4, 2024-07-18

The concept of the pupil is also central to ray modeling. The entrance pupil is an image of the aperture stop formed by the optics located in front of it. Its size and location are determined by chief and marginal rays. Similarly, the exit pupil is the image of the aperture stop formed by the optics behind it.

Exit pupil, 2024-10-03
Exit pupil, 2024-10-03

Understanding these pupils helps engineers determine how much light can pass through a lens system and how large the resulting image will appear.

Ray modeling is also essential for understanding technology like fiber optics. In an optical fiber, rays can behave in several distinct ways. A meridional ray passes directly through the axis of the fiber. A skew ray travels in a non-planar, zig-zag path and never crosses that central axis. Some rays are considered guided, bound, or trapped rays. These rays are confined within the core of a multi-mode fiber. However, some light can be lost through leaky or tunneling rays. These occur when the curved boundary of a core causes light to escape, even when geometric optics predicts it should reflect perfectly. This detailed understanding of ray behavior allows for the creation of high-speed communication technologies used globally.

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🖼️ Images & Media (4)
File:Hamiltonian Optics-Rays and Wavefronts.svg
Hamiltonian Optics-Rays and Wavefronts.svg
File:Ray optics diagram incidence reflection and refraction.svg
Ray optics diagram incidence reflection...
File:Entrance pupil - 4, 2024-07-18.png
Entrance pupil - 4, 2024-07-18.png
File:Exit pupil, 2024-10-03.png
Exit pupil, 2024-10-03.png
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