Total Internal Reflection | Optics Basics Part 2

Part 2

Total Internal Reflection (TIR): The Physics behind Optical Fiber

About the Author:
Prof. Chandrakant Kali (M.Sc., M.Ed.) is a retired Physics professor with over 50 years of teaching experience. Through Physics Prana, he simplifies complex Physics concepts using clear explanations, practical examples, and easy-to-understand diagrams, making learning enjoyable for students and lifelong learners.

1.Introduction:

       In Part 1 of this Optics series, we learned about light, reflection, and refraction. We discovered that light changes its direction whenever it enters a different medium because its speed changes.

But have you ever wondered:

  • Why does a diamond sparkle so brilliantly?
  • How does an endoscope allow doctors to see inside the human body?
  • How can light travel through a thin glass fiber for hundreds of kilometers without escaping?

The answer lies in one fascinating optical phenomenon known as Total Internal Reflection (TIR).

   This principle has revolutionized modern communication and made Optical Fiber Technology possible.

2.What is Total Internal Reflection (TIR)?

       When light travels from a denser medium to a rarer medium, it bends away from the normal.

As the angle of incidence increases, the angle of refraction also increases.

      At a particular angle, the refracted ray travels exactly along the boundary between the two media.

This special angle is called the Critical Angle.

    If the angle of incidence becomes greater than the Critical Angle, the light does not emerge into the second medium. Instead, it is completely reflected back into the denser medium.

This phenomenon is known as Total Internal Reflection (TIR).

3.Understanding the Critical Angle:

   The Critical Angle (ic) is the angle of incidence in the denser medium for which the angle of refraction becomes 90°.

Beyond this angle, refraction is no longer possible.

The critical angle satisfy the condition,

sinic = n2 / n1 

Where

n1 is refractive index of denser medium

n2 is refractive index of rarer medium

4.Conditions for Total Internal Reflection:

Two conditions must be satisfied:

   1. Light must travel from a denser medium to a rarer medium.

Examples

  • Glass → Air
  • Water → Air
  • Diamond → Air

  2. Angle of Incidence

The angle of incidence must be greater than the Critical Angle.

If both conditions are satisfied,

Total Internal Reflection occurs.

5.Fig. C explains the complete process of Total Internal Reflection:

Fig. C

Case A

When Light strikes normally then No bending occurs.

Case B

 For small angle of incidence, Light refracts into air.

Case C

By increasing angle incidence . There is increase Refraction angle.

Case D

At the Critical Angle ic, The refracted ray travels along the surface.

Case E

At Angle greater than Critical Angle (i  > ic ) , No refraction. Complete reflection inside the glass.

This is Total Internal Reflection.

6.Why Does Total Internal Reflection Occur?

        When light tries to move from a denser medium into a rarer medium, it accelerates.

Beyond the Critical Angle, there is no physically possible refracted path.

Therefore, the entire light energy is reflected back into the denser medium.

Unlike an ordinary mirror, almost 100% of the light energy remains inside the medium.

7.Everyday Examples of TIR:

  7.1. Diamond Sparkle:

Diamonds have a very high refractive index.

Light undergoes multiple total internal reflections before emerging.

This gives diamonds their exceptional brilliance.

 7. 2. Mirage:

On a hot summer day, roads often appear wet.

This illusion occurs because light undergoes refraction and, under suitable atmospheric conditions, total internal reflection in layers of air.

 7.3. Right-Angle Prism:

Many binoculars and periscopes use prisms instead of mirrors because total internal reflection produces brighter images.

 7.4. Endoscope:

Doctors use flexible optical fibers inside endoscopes.

Light travels through these fibers by repeated total internal reflection.

This allows doctors to examine internal organs without major surgery.

 7.5. Optical Fiber:

The most important application of TIR is optical fiber communication.

Billions of light pulses travel through optical fibers every second with very little loss of energy.

8.Advantages of Total Internal Reflection:

  • Nearly 100% reflection
  • Very little energy loss
  • Produces brighter images
  • No mirror coating required
  • High efficiency in optical devices

9. Applications of Total Internal Reflection:

  • Optical Fiber Communication
  • Medical Endoscopy
  • Binoculars
  • Periscopes
  • Laser Systems
  • Diamond Cutting
  • Optical Sensors
  • Scientific Instruments

10. Did You Know?

  • More than 99% of international internet traffic travels through optical fiber cables laid under the oceans.
  • These cables depend entirely on Total Internal Reflection.

11. Examination Tips:

Remember these important points.

✔ Definition of Critical Angle

✔ Conditions for TIR

✔ Difference between Reflection and Total Internal Reflection

✔ Applications of TIR

✔ Optical Fiber works on TIR

12. Key Takeaways:

  • Total Internal Reflection occurs only when light travels from a denser medium to a rarer medium.
  • The angle of incidence must be greater than the Critical Angle.
  • TIR produces almost complete reflection.
  • Optical fibers depend entirely on Total Internal Reflection.
  • TIR is widely used in medicine, communication, and scientific instruments.

13. Frequently Asked Questions:

What is Total Internal Reflection?

It is the complete reflection of light back into a denser medium when the angle of incidence exceeds the Critical Angle.

What is the Critical Angle?

The angle of incidence in the denser medium, for which the angle of refraction becomes 90° is called Critical angle.

What are the conditions for TIR?

  1. Light must travel from a denser medium to a rarer medium.
  2. The angle of incidence must be greater than the Critical Angle.

Why is TIR important?

It enables optical fiber communication and improves the efficiency of many optical instruments.

Where is TIR used?

TIR is used in Optical fibers, prisms, binoculars, endoscopes, lasers, and scientific instruments.

14. Conclusion:

    Total Internal Reflection is one of the most remarkable phenomena in Optics. It allows light to remain trapped inside a denser medium with almost no loss of energy, making it invaluable in modern technology.

      From the sparkle of a diamond to high-speed internet and minimally invasive medical procedures, TIR has transformed the way we communicate, diagnose diseases, and explore the world.

     In the next and final part of this series, we will explore Optical Fiber Technology in detail. You will learn about the **construction of optical fibers, the role of the core and cladding, the path of light inside the fiber, different types of optical fibers, their advantages, and their wide-ranging applications in communication, medicine, military systems, AI data centers, and future technologies.

  • Part 1: Light, Reflection and Refraction – The Foundation of Optics
  • Part 2: Total Internal Reflection (TIR): The Physics Behind Optical Fiber
  • Part 3: Optical Fiber: Construction, Working Principle and Applications

Light, Reflection and Refraction | Optics Basics Part 1

Part 1

Light, Reflection and Refraction –

The Foundation of Optics

About the Author:
Prof. Chandrakant Kali (M.Sc., M.Ed.) is a retired Physics professor with over 50 years of teaching experience. Through Physics Prana, he simplifies complex Physics concepts using clear explanations, practical examples, and easy-to-understand diagrams, making learning enjoyable for students and lifelong learners.

1. Introduction:

      Every day we experience fascinating phenomena of light. We see our image in a mirror, admire the colors of a rainbow after rain, notice a spoon appearing bent in a glass of water, or observe sunlight sparkling on a lake. Although these events seem ordinary, they are governed by the fundamental laws of Optics.

      Today, technologies such as optical fiber communication, lasers, digital cameras, microscopes, telescopes, medical imaging, satellite communication, and high-speed internet all rely on the basic principles of light.

     Understanding these principles is essential not only for students of Physics but also for anyone interested in modern science and technology.

In this first article of the Optics Series, we will explore the nature of light, the laws of reflection, and the principles of refraction in a simple and student-friendly manner.

2. What is Light?

   Light is a form of electromagnetic radiation that is visible to the human eye. It carries energy in the form of tiny particles called photons, while also behaving like a wave. This unique nature makes light one of the most fascinating subjects in Physics.

   Unlike sound, light does not require a material medium to travel. It can travel through a vacuum, which is why sunlight reaches the Earth from the Sun.

2.1. The Visible Spectrum:

The visible portion of the electromagnetic spectrum consists of seven colors:

  • Red
  • Orange
  • Yellow
  • Green
  • Blue
  • Indigo
  • Violet

These colors are commonly remembered by the acronym VIBGYOR.

The wavelength of visible light ranges approximately from:

  • 400 nm – Violet
  • 700 nm – Red

Each color has a different wavelength and frequency, giving it unique optical properties.

2.2. Speed of Light:

The speed of light in a vacuum is

C = 3 × 10⁸ m/s

It is the fastest speed known in nature and serves as a universal constant in Physics.

  This extraordinary speed enables modern technologies such as satellite communication, laser systems, and optical fiber networks.

3. Reflection of Light:

  When a ray of light strikes a smooth surface and bounces back into the same medium, the phenomenon is called Reflection of Light.

Reflection allows us to see objects and plays a vital role in many optical instruments.

3.1. Everyday Examples of Reflection:

  • Looking at yourself in a mirror
  • Seeing the reflection of trees in a calm lake
  • Rear-view mirrors in automobiles
  • Reflecting telescopes
  • Solar cookers
  • Decorative mirrors

Reflection is one of the most common optical phenomena observed in daily life.

3.2. Laws of Reflection:

  Fig. A

Reflection obeys two simple but important laws.

First Law:

    The incident ray, the reflected ray, and the normal at the point of incidence all lie in the same plane.

Second Law:

The angle of incidence is equal to the angle of reflection.

i = r

These laws are valid for all smooth reflecting surfaces.

3.3. Why is Reflection Important?

Reflection is the working principle behind many scientific instruments and everyday devices.

Examples include:

  • Plane mirrors
  • Periscopes
  • Kaleidoscopes
  • Reflecting telescopes
  • Road safety reflectors
  • Solar concentrators

Without reflection, mirrors and many optical devices would not function.

4. Refraction of Light:

      When light travels from one transparent medium to another transparent medium , its speed changes. As a result, the direction of the light ray also changes. This bending of light is known as Refraction.

For example, light bends when it travels:

  • From air to water
  • From air to glass
  • From glass to water

4.1. Everyday Examples of Refraction:

Refraction can be observed in many everyday situations.

  • A pencil appears bent when placed in water.
  • A swimming pool appears shallower than it actually is.
  • Camera lenses focus light to produce sharp images.
  • Spectacles correct vision using refraction.
  • Magnifying glasses enlarge objects.

These examples demonstrate how changing the speed of light changes its direction.

4.2. Laws of Refraction:

Fig. B

Refraction follows two important laws.

First Law:

The incident ray, refracted ray, and the normal at the point of incidence all lie in the same plane.

Second Law (Snell’s Law):

      The ratio of the sine of the angle of incidence to the sine of the angle of refraction remains constant for a given pair of media.

n = sin i / sin r

where

  • i = Angle of Incidence
  • r = Angle of Refraction
  • n = Refractive Index

This relationship is known as Snell’s Law.

4.3. Refractive Index:

     The Refractive Index of a medium indicates how much the speed of light decreases when it enters that medium.

It is defined as

    Also  ang = Speed of light in air / Speed of light in glass  = C / V

where

  • C = Speed of light in vacuum (or air, approximately)
  • V = Speed of light in the medium

Typical values are:

Medium Refractive Index
Air 1.00
Water 1.33
Glass 1.50

A higher refractive index means that light travels more slowly through the medium.

4.4. Why Does Light Bend?

  The bending of light occurs because its speed changes when it enters a different medium.

  • Air → Glass: Light slows down and bends towards the normal.
  • Glass → Air: Light speeds up and bends away from the normal.

    This simple principle explains many natural phenomena and forms the basis of several optical technologies.

5. Applications of Reflection and Refraction:

Reflection and refraction are essential in many scientific and technological applications.

Reflection

  • Plane mirrors
  • Rear-view mirrors
  • Solar cookers
  • Reflecting telescopes
  • Optical instruments

Refraction

  • Camera lenses
  • Spectacles
  • Microscopes
  • Telescopes
  • Magnifying glasses
  • Prisms

  These principles are also the foundation of fiber optic communication, which will be discussed in the next article.

6. Did You Know?

  • The Moon does not produce its own light; it shines by reflecting sunlight.
  • Diamonds sparkle because of their very high refractive index.
  • Rainbows are formed due to both refraction and reflection inside water droplets.

7. Examination Tips:

Students should remember the following important points:

✔ Laws of Reflection

✔ Snell’s Law

✔ Formula for Refractive Index

✔ Difference between Reflection and Refraction

✔ Direction of bending when light travels from air to glass and glass to air

These concepts are frequently asked in Class 10, Class 12, Engineering Physics, and competitive examinations.

8. Key Takeaways:

  • Light is a form of electromagnetic radiation.
  • Visible light consists of seven colors (VIBGYOR).
  • The speed of light in vacuum is 3 × 10⁸ m/s.
  • Reflection follows two fundamental laws.
  • Refraction occurs because the speed of light changes in different media.
  • Refractive Index measures the optical density of a medium.
  • Reflection and Refraction form the foundation of modern optical technology.

9. Frequently Asked Questions (FAQ):

What is reflection of light?

Reflection is the bouncing back of light into the same medium after striking a surface.

What is refraction?

Refraction is the bending of light when it passes from one transparent medium to another due to a change in speed.

What is the refractive index?

It is the ratio of the speed of light in vacuum to the speed of light in a medium.

Why does light bend?

Light bends because its speed changes when it enters a different medium.

Why are reflection and refraction important?

These principles are fundamental to mirrors, lenses, cameras, microscopes, telescopes, lasers, and fiber optic communication.

10. Conclusion:

    Reflection and refraction are two of the most fundamental concepts in Optics. From simple mirrors to sophisticated communication systems, these principles influence almost every aspect of modern technology.

      A clear understanding of these topics provides the foundation for learning Total Internal Reflection (TIR)—the phenomenon that makes optical fiber communication possible.

       In Part 2 of this series, we will explore Total Internal Reflection, Critical Angle, and understand how these concepts form the basis of Optical Fiber Technology.

  • Part 1: Light, Reflection and Refraction – The Foundation of Optics
  • Part 2: Total Internal Reflection (TIR): The Physics Behind Optical Fiber
  • Part 3: Optical Fiber: Construction, Working Principle and Applications
Optics Archives | Physics Prana