∟Light Interacting with Flat Surface

This section descrives the interaction of light at a flat surface of 2 different medium.

When a single photon hits a flat surface, the interaction is pretty random. It could be absorption, ionization, scattering, stimulated emission, or passthrough, as described in the previous section.

But if we hit a flat surface with a beam of light (lots of photons), called incident light, the interaction divides it into 3 portions called: reflected light, refracted light and absorbed light, as shown in the diagram below:

Light and Flat Surface Interaction
Light and Flat Surface Interaction

Reflected Light - The portion of the incident light that gets reflected back from the surface. It follows the reflection law:

1. The reflected light lies in the plane formed by the incident light and the normal line of the surface at the incident point.

2. The reflection angle between reflected light and the normal line equals to the incident angle between the incident light and the normal line.

3. The intensity of the reflected light is proportional to the intensity of the incident light.

Refracted Light - The portion of the incident light that passes through the surface. It follows the refraction law, also called Snell's law, named after Willebrord Snellius:

1. The refracted light lies in the plane formed by the incident light and the normal line of the surface at the incident point.

2. The refraction angle between refracted light and the normal line is related to incident angle between the incident light and the normal line based on the following equation:

        n1 × sin(θ1) = n2 × sin(θ2)
where: 
        n1: refractive index of the medium where incident light comes from
        n2: refractive index of the medium where refracted light goes into
        θ1: incident angle
        θ2: refraction angle

3. The intensity of the refracted light is proportional to the intensity of the incident light.

Absorbed Light - The portion of the incident light that gets absorbed by the surface. Intensity lost in absorption is proportional to the intensity of the incident light.

Example 1: Let's hit a water surface with a laser beam straight forward from air at a 45-degree angle downward. Given the refractive indexes for air and water of 1.00 and 1.33, the interaction will produced the following:

The reflected light will be:

The refracted light will be:

The absorbed light will be:

Example 2: Let's hit a polished and flat silver wall with a laser beam from air straight forward. Given the refractive indexes for air and silver of 1.00 and 0.13, the interaction will produced the following:

The reflected light will be:

The refracted light will be:

The absorbed light will be:

Table of Contents

 About This Book

 Introduction of Space

 Introduction of Frame of Reference

 Introduction of Time

 Introduction of Speed

 Newton's Laws of Motion

 Electromagnetic Fields

►Introduction of Light

 What Is Light

 Light Spectrum - Range of Electromagnetic Frequencies

 Visible Light Spectrum

 Can Human See a Single Photon

 Stimulated Emission of Radiation and Laser

 Coherent vs. Incoherent Light

 Superposition of Electromagnetic Field Waves

 Types of Photon-Atom Interactions

►Light Interacting with Flat Surface

 Speed of Light

 Introduction of Special Relativity

 Time Dilation in Special Relativity

 Length Contraction in Special Relativity

 The Relativity of Simultaneity

 Introduction of Spacetime

 Minkowski Spacetime and Diagrams

 Introduction of Hamiltonian

 Introduction of Lagrangian

 Introduction of Generalized Coordinates

 Phase Space and Phase Portrait

 Poisson Bracket Expression

 References

 Index

 Full Version in PDF/ePUB