Monday, February 16, 2026

LAB Physics - file 03: Light slows down

LAB Physics - file 03

Light slows down


In my previous post, we examined the speed of light to see how fast light is! And in consequence, the speed of light is formidable compared to any human technology.

But in fact, light can be slowed down by the medium it’s traveling through.


Light beams passing through a big transparent ice cube


Vacuum vs. Atmosphere

Light can travel at its maximum possible speed (approximately 299,792 km/s) but ONLY in a perfect Vacuum.

When light enters the Earth’s atmosphere, it has to struggle to navigate through Nitrogen, Oxygen, and other Molecules. This disturbance causes light to slow down, though ONLY a tiny portion…


Speed of light in a vacuum:  approx. 299,792 km/s
Speed of light in Earth’s atmosphere:  approx. 299,702 km/s

So light is about 90 km/s (324,000 km/h) slower in the Earth’s air than in space!



How much does light slow down?

In physics, the Refractive Index is used to indicate how much a substance slows down light.


The Refractive Index:  v = c / n

Where:
v = the speed of light in the material
c = the speed of light in a vacuum (a constant)
n = the Refractive Index. Vacuum is 1.0.


Speed Comparisons in different media


Light traveling through winding fiber cables

How fast does light go through various common substances?


At first, for the standard…

In a vacuum (Refractive Index = 1.0):

The speed of light is approximately 299,792 km/s (100%).

In the air (Refractive Index = 1.0003):

299,792 km/s / 1.0003 = approx. 299,702 km/s (99.97% of the vacuum speed)

In ice (Refractive Index = 1.31):

299,792 km/s / 1.31 = approx. 228,848 km/s (76% of the vacuum speed)

In water (Refractive Index = 1.33):

299,792 km/s / 1.33 = approx. 225,407 km/s (75% of the vacuum speed)

In glass (Refractive Index = 1.50):

299,792 km/s / 1.50 = approx. 199,861 km/s (67% of the vacuum speed)

In diamond (Refractive Index = 2.42):

299,792 km/s / 2.42 = approx. 123,881 km/s (41% of the vacuum speed)


So, as you can clearly see, the denser the material, the slower the light. Especially, speaking about diamonds, the secret of mysterious brilliancy might come from such density, which hardly allows light to pass through.

So I think that… we can imagine that light goes through a material like a quarterback in American Football struggles to run forward, dodging defenders’ (so electrons’) sacks to navigate the ball going as much straight as possible toward the goal line!

Or light going through a dense material is like you struggling to run through a waist-deep pool in water exercise.




Then, do individual Photons slow down?


The basic unit of light that carries Electromagnetic energy is called a Photon. A photon is a fundamental and massless particle, and exhibits the property of Wave-Particle Duality, acting as both a Wave and a Particle. More energetic photons show a higher Frequency, seen as blue light, while less energetic photons show a lower frequency, seen as red light. This property explains the Photoelectric Effect.

But don't be confused that a photon is NOT a charged particle, unlike an electron. Electrons have a negative charge, while photons are neutral (zero charge) as well as massless. And photons act as the carriers of electromagnetic force, whereas electrons are fundamental matter particles.

Surprisingly, individual photons always travel at the speed of light (“c”) regardless of how dense the medium light is going through. When we say light “slows down” in glass, it correctly means that the light wave is interacting with the electrons in the atoms of glass. The atoms of glass absorb and re-emit the energy, or their electric fields interfere with the light wave. This interaction creates a tiny delay.

So, while the electric wave takes longer to go through the glass, the actual energy packets Photons are still zipping between atoms at full speed! It's a little difficult to make intuitive sense about this gap between the electric wave and photons…


So here I would like to introduce you to the Cherenkov Radiation, which explains this phenomenon. The Cherenkov Radiation just occurs when photons actually travel faster than light itself does in a specific medium.




When light delays behind photons — Mysterious, fantastic blue glow


Cherenkov Radiation's fantastic blue glow
Fantastic blue glow of the Cherenkov Radiation
(source: Idaho National Laboratory)

You might easily recall the fantastic blue glow in the pool of an underwater nuclear reactor. This is a typical phenomenon of Cherenkov Radiation. When charged particles like electrons travel through a transparent medium faster than the actual speed of light in that medium, such a blue glow emits. But note that photons can NOT exceed the speed of light in a vacuum, but constantly as fast as that (“c”).


In general, a particle's electric field interferes with and polarizes atoms in its path in a medium, and then the atoms of the substance re-emit photons.

The material that slows down the speed of light, such as pure water (H2O), glass, diamond, etc., is called a Dielectric.

When the charged particle runs faster than the actual speed of light in the dielectric medium, these waves add up constructively and form an electromagnetic shockwave.


For example, during the process of Radioactive Decay or Nuclear Fission, the decaying Atomic Nuclei (nucleuses) emit Beta Particles, which are extremely high-energy, superluminal electrons or Positrons. These beta particles outpace light in water and excite water molecules. And in turn, the water molecules release photons. This sequence creates the blue glow of photons in the pool of the nuclear reactor. It's a Cherenkov Radiation!


This phenomenon is analogous to a Sonic Boom of a sound wave. When a supersonic aircraft flies through the air faster than the speed of sound, the sound waves are intensely compressed and merged into a powerful shockwave.

Likewise, when photons travel through a specific medium comparatively faster than the actual speed of light, a light shockwave is created, releasing photons with intense, higher frequency light. And also, the light shockwave forms a cone shape, which is analogous to the Mach Cone of sonic boom.

The photons are emitted more intensely and carry more electromagnetic energy. For human eyes, these photons are seen as blue or violet light due to their high frequency and shorter wavelength.



The actual speed of light is NOT constant by medium, while a photon travels constantly the 100% of speed of light (“c”) as its property. This discrepancy, as well as the interference with molecules of water bears the fantastic, beautiful blue glow in a nuclear reactor pool. But at the same time, this indicates extremely high energetic nuclear activity in it.

Light is overtaken by photons. Then, is there anything else exceeding the speed of light? Is the speed of light in a vacuum really the fastest and the upper limit in the Universe?

We will examine it in my next post. Coming soon, and stick around!




Further Reading (sponsored by Amazon):


● Thomas D. Rossing, et al. (2020). Light Science: Physics and Visual Arts (2nd edition). 501 pages. Springer.


Light Science: Physics and Visual Arts

In this fully revised 2nd edition of the classic textbook “Light Science: Physics and Visual Arts,” the authors Thomas Rossing (Stanford University) and Christopher Chiaverina present the science of light – that is, the science behind what and how we see!



Table of Contents

Front Matter

Our World of Light and Color
The Wave Nature of Light
Ray Optics: Reflection, Mirrors, and Kaleidoscopes
Refraction of Light
Interference and Diffraction
Polarized Light
Light Sources and the Particle Nature of Light
Sources of Color
Color Vision
Photography
Holography
Computer Imaging
Photonics – Light in the Twenty-First Century
Visual Perception, Illusions, and the Arts

Correction to: Light Science
Back Matter



● Ramamurti Shankar (2020). Fundamentals of Physics II: Electromagnetism, Optics, and Quantum Mechanics (The Open Yale Courses Series; Expanded edition). 680 pages. Yale University Press.



Fundamentals of Physics II

Fundamentals of Physics II: Electromagnetism, Optics, and Quantum Mechanics” is a beloved introductory physics textbook, including exercises and an answer key, accessibly explains electromagnetism, optics, and quantum mechanics!




Table of Contents


Preface to the Expanded Edition
Preface to the First Edition

1 Electrostatics I

Review of F = ma
Enter electricity
Coulomb’s law
Properties of charge
Superposition principle
Verifying Coulomb’s law
The ratio of gravitational to electric forces
Coulomb’s law for continuous charge density

2 The Electric Field

Review of key ideas
Digression on nuclear forces
The electric field E
Visualizing the field
Field of a dipole
Far field of dipole: general case
Response to a field
Dipole in a uniform field

3 Gauss’s Law I

Field of an infinite line charge
Field of an infinite sheet of charge
Spherical charge distribution: Gauss’s law
Digression on the area vector dA
Composition of areas
An application of the area vector
Gauss’s law through pictures
Continuous charge density

4 Gauss’s Law II: Applications

Applications of Gauss’s law
Field inside a shell
Field of an infinite charged wire, redux
Field of an infinite plane, redux
Conductors
Field inside a perfect conductor is zero
The net charge on a conductor will reside at the surface
A conductor with a hole inside
Field on the surface of a conductor

5 The Coulomb Potential

Conservative forces and potential energy
Is the electrostatic field conservative?
Path independence through pictures
Potential and field of a dipole

6 Conductors and Capacitors

Cases where computing V from E is easier
Visualizing V
Equipotentials
Method of images
Proof of uniqueness (optional section)
Additional properties of the potential V(r)
Capacitors
Energy stored in a capacitor
Energy of a charge distribution

7 Circuits and Currents

Energy in the electric field
Circuits and conductivity
Circuits
The battery and the emf Ε
The RC circuit with a battery
Miscellaneous circuits

8 Magnetism I

Experiments pointing to magnetism
Examples of the Lorenz force, the cyclotron
Lorentz force on current-carrying wires
The magnetic dipole
The DC motor

9 Magnetism II: Biot-Savart Law

Practice with Biot-Savart: field of a loop
Microscopic description of a bar magnet
Magnetic field of an infinite wire
Ampère’s law
Maxwell’s equations (static case)

10 Ampère II, Faraday, and Lenz

Field of an infinite wire, redux
Field of a solenoid
Faraday and Lenz
Optional digression on Faraday’s law

11 More Faraday

Batatron
Generators
Inductance
Mutual inductance
Self-inductance
Energy in the magnetic field

12 AC Circuits

Review of inductors
The LC circuit
The LCR circuit
Review of complex numbers
Solving the LCR equation
Visualizing Z
Complex form of Ohm’s law

13 LCR Circuits and Displacement Current

Analysis of LCR results
Transients and the complementary solution
Power of the complex numbers
Displacement current

14 Electromagnetic Waves

The wave equation
Restricted Maxwell equations in vacuum
Maxwell equations involving infinitesimal cubes  
Maxwell equations involving infinitesimal loops
The wave!
Sinusoidal solution to the wave equation
Energy in the electromagnetic wave
Origin of electromagnetic waves
Maxwell equations—the general case (optional)
Maxwell equations involving infinitesimal cubes
Maxwell equations involving infinitesimal loops
Consequences for the restricted E and B
From microscopic to macroscopic (optional)
Maxwell equations involving cubes
Maxwell equations involving loops

15 Electromagnetism and Relativity

Magnetism from Coulomb’s law and relativity
Relativistic invariance of electrodynamics
Review of Lorenz transformations
Implications for Newtonian mechanics
Scalar and vector fields
The derivative operator
Lorentz scalars and vectors
The four-current J
Charge conservation and the four-current J
The four-potential A
Gauge invariance
Wave equation for the four-vector A
Why work with V and A?
The electromagnetic tensor F
Tensors
The electromagnetic field tensor F

16 Optics I: Geometric Optics Revisited

Geometric or ray optics
Brief history of c
Some highlights of geometric optics
The law of reflection from Fermat’s principle
Snell’s law from Fermat’s principle
Reflection off a curved surface by Fermat
Elliptical mirrors and Fermat’s principle
Parabolic mirrors

17 Optics II: More Mirrors and Lenses

Spherical approximations to parabolic mirrors
Image formation: geometric optics
A midlife crisis
Image formation by Fermat’s principle
Tricky cases
Fermat’s principle for virtual focal points
Ray optics for virtual images
Lenses à la Fermat
Principle of least action
The eye

18 Wave Theory of Light

Interference of waves
Adding waves using real numbers
Adding waves with complex numbers
Analysis of interference
Diffraction grating
Single-slit diffraction
Understanding reflection and crystal diffraction
Light incident on an oil slick
Normal incidence
Oblique incidence

19 Quantum Mechanics: The Main Experiment

Double-slit experiment with light
Trouble with Maxwell
Digression on photons
Photoelectric effect
Compton Effect
Matter waves
Photons versus electrons
The Heisenberg uncertainty principle
There are no states of well-defined position and momentum
Heisenberg microscope
Let there be light
The wave function ψ
Collapse of the wave function
Summary

20 The Wave Function and Its Interpretation

Probability in classical and quantum mechanics
Getting to know ψ
Statistical concepts: mean and uncertainty

21 Quantization and Measurement

More on momentum states
Single-valuedness and quantization of momentum
Quantization
The integral of Ψp(x)
Measurement postulate: momentum
An example solvable by inspection
Using a normalized ψ
Finding A(p) by computation
More on Fourier’s theorems
Measurement postulate: general
More than one variable

22 States of Definite Energy
Free particle on a ring
Analysis of energy levels: degeneracy
Thinking inside the box
Particle in a well
The box: an exact solution
Energy measurement in the box

23 Scattering and Dynamics

Quantum scattering
Scattering for E > V0
Scattering for E < V0
Tunneling
Quantum dynamics
A solution of the time-dependent Schrödinger equation
Derivation of the particular solution ΨΕ(x, t
Special properties of the product solution
General solution for time evolution
Time evolution: a more complicated example

24 Summary and Outlook

Postulates: first pass
Refining the postulates
Toward a compact set of postulates
Eigenvalue problem
The Dirac delta function and the operator X
Postulates: final
Many particles, bosons, and fermions
Identical versus indistinguishable
Implications for atomic structure
Energy-time uncertainty principle
What next?

Excercises
Answers to Exercises
Constants
Index



● Ian A. Walmsley (2015). Light: A Very Short Introduction. 160 pages. Oxford University Press.

Light: A Very Short Introduction

In this “Light: A Very Short Introduction,” the author Ian Walmsley (experimental physics, the University of Oxford) discusses early attempts to explain light, and the development of apparently opposing particulate and wave theories by scientists such as Isaac Newton and Christiaan Huygens!



Table of Contents

Front Matter Preface and acknowledgements List of illustrations 1 What is light? 2 Light rays 3 Waves 4 Duality 5 Light matters 6 Light, space, and time 7 Lighting the frontiers 8 Quantum light 9 Twilight End Matter Further reading Index



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