25.1 The Ray Aspect of Light

3 min readjune 18, 2024

Light behaves in fascinating ways, traveling through , , , , and . Understanding these modes helps us grasp how light interacts with different materials and environments, shaping our visual world.

simplifies light as rays, making it easier to predict its behavior in everyday situations. This approach allows us to explain phenomena like shadows, pinhole cameras, and the laws of reflection and refraction, which are crucial for understanding optics.

Light as a Ray

Modes of light travel

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  • Emission generates light from a source (sun, light bulb, laser)
  • Absorption occurs when an object absorbs light energy
    • Absorbed energy can be converted to heat or cause the object to emit light at a different
  • Transmission allows light to pass through a medium without being absorbed
    • The speed of light may change based on the medium's
  • Reflection causes light to bounce off a surface, changing its direction
    • The equals the
  • Refraction bends light when it passes between media with different refractive indices
    • The angle of refraction depends on the refractive indices and angle of incidence, described by : n1sinθ1=n2sinθ2n_1 \sin \theta_1 = n_2 \sin \theta_2

Light behavior as rays

  • treats light as rays traveling in straight lines when interacting with objects much larger than its wavelength
    • This approximation is valid for everyday situations (light reflecting off mirrors, refracting through lenses)
  • Opaque objects blocking light rays cast shadows
    • Shadow size and shape depend on object size and shape, light source size, and distance between object and light source
  • Pinhole cameras use a small aperture to focus light rays from a scene onto a screen or film
    • The image is inverted and can be used to study light behavior as rays
  • of light rays can occur when light is reflected or transmitted through certain materials

Laws of reflection and refraction

  1. Law of reflection states the angle of incidence equals the angle of reflection: θi=θr\theta_i = \theta_r
    • The incident , reflected ray, and normal to the surface at the point of incidence lie in the same plane
  2. Law of refraction (Snell's law) relates the angles of incidence and refraction to the refractive indices of two media: sinθ1sinθ2=n2n1\frac{\sin \theta_1}{\sin \theta_2} = \frac{n_2}{n_1}
    • The incident ray, refracted ray, and normal to the surface at the point of incidence lie in the same plane
  3. occurs when light travels from a higher to lower refractive index medium above a of incidence
    • All light is reflected back into the first medium
    • The is given by: θc=arcsin(n2n1)\theta_c = \arcsin(\frac{n_2}{n_1}), where n1>n2n_1 > n_2
  4. separates white light into its constituent colors when refracted due to different wavelengths having slightly different refractive indices in a given medium
    • This effect is seen in prisms and rainbows (demonstrating the )

Wave-particle duality and interference

  • Light exhibits both wave-like and particle-like properties, known as
  • Interference occurs when light waves interact, resulting in constructive or destructive interference patterns
  • of light waves is necessary for observable interference effects

Key Terms to Review (30)

Absorption: Absorption is the process by which a substance or energy is taken up and incorporated into a system. This term is particularly relevant in the context of various physical phenomena, including radiation, sound, and light, where absorption plays a crucial role in the behavior and interactions of these forms of energy.
Angle of Incidence: The angle of incidence is the angle at which a ray of light or other wave strikes a surface. It is the angle between the incident ray and the normal (perpendicular) to the surface at the point of incidence. This term is crucial in understanding the behavior of light and waves as they interact with different mediums and surfaces.
Angle of Reflection: The angle of reflection is the angle at which a ray of light or other wave is reflected from a surface. It is a fundamental concept in the study of optics and the behavior of light, and is closely related to the law of reflection.
Coherence: Coherence is a fundamental property of waves that describes the extent to which different parts of a wave or different waves maintain a fixed phase relationship with one another. It is a crucial concept in understanding the wave-like behavior of light and its applications in various areas of physics.
Critical angle: The critical angle is the minimum angle of incidence at which light is totally internally reflected within a medium. It occurs when light passes from a medium with a higher refractive index to one with a lower refractive index.
Critical Angle: The critical angle is the angle of incidence at which the angle of refraction becomes 90 degrees, marking the boundary between refraction and total internal reflection. It is a fundamental concept in the study of light and its behavior at the interface between two different media.
De Broglie wavelength: The de Broglie wavelength is the wavelength associated with a particle and is inversely proportional to its momentum. It highlights the wave-particle duality of matter.
Diffraction: Diffraction is the bending and spreading of waves as they encounter an obstacle or an aperture. This phenomenon occurs when waves, such as light or sound, encounter an edge or an opening, causing them to bend and spread out, rather than traveling in a straight line.
Direction of polarization: Direction of polarization refers to the orientation of the electric field vector in an electromagnetic wave. It describes how the electric field oscillates as the wave propagates.
Dispersion: Dispersion is the phenomenon where light is separated into its constituent wavelengths or colors as it passes through a medium with a varying refractive index, such as a prism or the atmosphere. This separation of light occurs due to the fact that different wavelengths of light travel at slightly different speeds within the medium, causing them to bend at different angles.
Electromagnetic spectrum: The electromagnetic spectrum is the range of all types of electromagnetic radiation, which includes visible light, radio waves, microwaves, infrared, ultraviolet, X-rays, and gamma rays. This spectrum is crucial because it encompasses the various forms of energy that travel through space at the speed of light and affects many aspects of physics, including radiation, magnetism, wave production, and energy transfer.
Emission: Emission is the process by which energy is released in the form of electromagnetic radiation or particles. This term is particularly relevant in the context of radiation and the ray aspect of light, as it describes the mechanisms by which these phenomena occur.
Fermat's Principle: Fermat's principle, also known as the principle of least time, is a fundamental concept in optics that describes the behavior of light. It states that light travels between two points along the path that takes the least time, rather than the shortest distance.
Geometric optics: Geometric optics is the study of light as rays that travel in straight lines and interact with surfaces according to the laws of reflection and refraction. It simplifies complex wave phenomena by ignoring diffraction and interference.
Geometric Optics: Geometric optics is a model of light propagation that treats light as a collection of rays. It describes the behavior of light as it interacts with various optical components, such as mirrors, lenses, and prisms, based on the principles of reflection, refraction, and ray tracing.
Intensity reflection coefficient: The intensity reflection coefficient is a measure of the fraction of incident acoustic wave intensity that is reflected at the boundary between two different media. It is a dimensionless quantity and ranges from 0 to 1.
Pinhole Camera: A pinhole camera is a simple camera without a lens, using a small aperture to project an image onto a light-sensitive surface. It relies on the principles of optics and the ray aspect of light to create an inverted, real image of the scene in front of it.
Polarization: Polarization is a fundamental property of electromagnetic waves, including light, that describes the orientation of the electric field oscillations within the wave. It is a crucial concept that underlies many important phenomena in the fields of static electricity, electromagnetism, and optics.
Ray: A ray is a straight line that represents the path along which light energy travels. It is used in geometric optics to model the behavior of light when it encounters boundaries such as mirrors and lenses.
Ray Optics: Ray optics is a model of light propagation that treats light as a collection of rays, each of which travels in a straight line and obeys the laws of geometric optics. This model is particularly useful for understanding the behavior of light as it interacts with various optical components, such as mirrors, lenses, and prisms.
Reflection: Reflection is the change in direction of a wave, such as light or sound, when it encounters a boundary or surface. It is a fundamental concept in physics that describes how waves interact with different media and surfaces, leading to various phenomena observed in the physical world.
Refraction: Refraction is the bending of a wave, such as light or sound, when it passes from one medium to another with a different density or refractive index. This phenomenon occurs due to the change in the speed of the wave as it moves between the two mediums, causing it to change direction.
Refractive Index: The refractive index is a dimensionless number that describes how light propagates through a given medium. It quantifies the bending or refraction of light as it passes from one material into another with a different optical density.
Single-photon-emission computed tomography(SPECT): Single-photon-emission computed tomography (SPECT) is a nuclear imaging technique that provides 3D images of functional processes in the body. It uses gamma rays and a rotating camera system to capture detailed images of internal organs.
Snell's Law: Snell's law, also known as the law of refraction, describes the relationship between the angles of incidence and refraction when light passes from one medium to another with a different refractive index. It is a fundamental principle in the study of optics and the behavior of light.
Total internal reflection: Total internal reflection occurs when a light wave traveling through a denser medium hits the boundary with a less dense medium at an angle greater than the critical angle, causing the wave to be completely reflected back into the denser medium. This phenomenon is critical in fiber optics and certain optical instruments.
Total Internal Reflection: Total internal reflection is a fundamental optical phenomenon that occurs when light encounters the boundary between two materials with different refractive indices, resulting in the light being completely reflected back into the original medium instead of passing through the boundary. This principle is crucial in understanding the behavior of light in various optical systems and applications.
Transmission: Transmission refers to the process by which light energy is conveyed or propagated through a medium or space. It is a fundamental concept in the study of the ray aspect of light, describing how light travels and interacts with different materials and environments.
Wave-Particle Duality: Wave-particle duality is a fundamental concept in quantum physics that describes the dual nature of light and matter, where they exhibit characteristics of both waves and particles depending on the context and experimental conditions. This principle is central to understanding the behavior of electromagnetic radiation and the properties of subatomic particles.
Wavelength: Wavelength is a fundamental characteristic of waves, representing the distance between consecutive peaks or troughs in a wave. It is a crucial parameter that describes the spatial extent of a wave and is closely related to other wave properties such as frequency and speed.
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