Saturday, January 24, 2026

LAB Physics - file 02: Traveling around the World within a blink

LAB Physics - file 02

Traveling around the World within a blink


And God said, Let there be light: and there was light. And God saw the light, that it was good: and God divided the light from the darkness.” (Genesis 1:3-4 KJV)


Light traveling between skyscrapers

Can you imagine the Universe without Light? Light is fundamental, energetic, and the symbol of hope, but mysterious. And it's always the most spotlighted superstar on the stage of physics in history.


In light of physics, light is, in short, a Quantum phenomenon of energy. It displays Wave-Particle Duality, which means both wave-like and particle-like properties.

Light behaves as an Electromagnetic Wave. It explains phenomena of the wave, such as Diffraction and Interference. And light can travel through a vacuum without a medium as a form of energy.

At the same time, light is composed of discrete, massless particles of energy called Photons. This explains interactions with matter, such as the Photoelectric Effect.

Light is said to be the fastest in the Universe, in common sense. In fact, how fast in the world does light travel?


Light runs 7.5 times around the Earth in 1 second!

In fact, light can indeed circle the Earth about 7.5 times in a single second. So let's break it down and calculate it!


At first, to understand why this happens, let's look at two specific numbers: the speed of light and the size of our planet.

Speed of Light (c):

Exactly 299,792,458 meters per second (approx. 300,000 km/s, or 186,000 miles/s).

Earth’s Circumference:

Approximately 40,075 km (about 24,901 miles) at the equator.


In this connection, the meter was initially defined in the 1790s by the French National Assembly as 1/10,000,000 of the distance from the North Pole to the Equator, measured along the Meridian Line running through Paris. So rationally, as the distance from the North Pole to the Equator (1/4 of the circumference of the Earth) equals (approximately) 10,000,000 m = 10,000 km, the Earth’s circumference should be 4 times that, so 40,000km!


Let's get back to the calculation…

1. How many times does light go around the Earth?


(the distance that light goes in 1 second / the distance of 1 lap around the equator):

299,792 km/s / 40,075 km = approx. 7.48 times per second

Rounding this gives 7.5 times!


2. And how long does one single lap take?


To know how long it takes for a beam of light to complete one full lap around the Earth, it's simple!

Take the inverse.


(1 second / the number of cycles that light travels around the equator in 1 second) (above):

1 / 7.48 = approx. 0.1337 seconds


This means light circles the Earth in about 134 milliseconds. This is literally faster than a blink of your eye, as the blink of a human eye usually takes around 300 - 400 milliseconds (0.3 - 0.4 seconds)!




Traveling to the Moon and the Sun

Light travels in an instant everywhere on the Earth. Then, how about in the cosmic scale? There are well-known figures that had been already calculated in Astronomy. So let's see the travel of light to our neighbors!


●The Moon

Light reaches our only satellite, the Moon, in about 1.3 seconds in a straight line.

For comparison, the Space Shuttle's maximum speed is around 28,000 km/h(17,500 mph) in orbit, allowing it to circle Earth every 90 minutes. So theoretically, if the Space Shuttle fly from the surface of the Earth to the Moon with a constant maximum speed in a straight line (388,400km);


384,400 km / 28,000 km/h = approx. 13.73 hours

So the Space Shuttle would take around 13.7 hours (about 13 hours 44 minutes).

But in reality, our current space rocket must overcome Earth's gravity, and moreover, requires complex orbital mechanics and maneuvers to navigate to the Moon, taking roughly 3 days to the Moon.



●The Sun

Likewise, light can reach our father, the Sun, in about 8 minutes and 20 seconds. So conversely, you always see the Sun beam that has actually departed from the Sun 8 minutes 20 seconds ago ever.




But in reality…

Theoretically, we could calculate the speed of light above, which can circle the Earth 7.5 times. However, there are some restrictions that affect the speed of light in the environment in reality…


Light beam traveling in the ocean

1. The Path of Light

In reality, light doesn't travel round along the Earth's surface like going on a circular orbit, but in straight lines regardless of the Earth's gravity. So in order to travel around the Earth, light must need to be reflected by a series of mirrors, or guided through a Fiber-Optic Cable.



2. Fiber Optics

Then, if we send data through fiber-optic cables like the internet, light actually travels about 30% slower. Because light needs to pass through dense glass molecules rather than a vacuum. Even as much slower, NO matter. Light can still reach everywhere on the Earth in a fraction of a second through fiber-optic cables!




Speed comparisons!

Let's compare the speed of human technologies to the speed of light so that we can intuitively see the speed of light!



Before proceeding, let's convert the speed of light (c = approx. 300,000 km/s) into km/h, which is a more familiar unit in our everyday life. It's not complicated at all to calculate it.

Just let it (c) multiply by 3,600! Because 1 hour consists of 60 minutes, and 1 minute consists of 60 seconds in turn (60 X 60 = 3,600).


(the speed of light per second X the number of seconds in an hour):

300,000 km/s X 3,600 s/h = approx. 1,080,000,000 km/h

In its most precise form, light travels at 1,079,252,849 km/h.



Shinkansen (N700S) (320 km/h)
A Japanese bullet train operated by JR (Japan Railways) Group.

1,080,000,000 km/h / 320 km/h = 3,375,000

3,375,000 (approximately 3.38 million) times slower than light.



Formula 1 car (370 km/h)
Honda RA105, McLaren MP4-20, Williams FW38, etc.

1,080,000,000 km/h / 370 km/h = approx. 2,918,919

2,918,919 (approximately 2.92 million) times slower than light.



Commercial airliner (920 km/h)

Boeing 787-9 Dreamliner, Boeing 777-300ER.

1,080,000,000 km/h / 920 km/h = approx. 1,173,913


1,173,913 (approximately 1.17 million) times slower than light.



SR-71 Blackbird (3,529 km/h)
A retired long-range, high-altitude, strategic reconnaissance aircraft, manufactured by Lockheed Corporation. Maximum Mach 3.3 supersonic speed!

1,080,000,000 km/h / 3,529 km/h = approx. 306,036

306,036 (approximately 306,000) times slower than light.



NASA Parker Solar Probe (690,000 km/h)

NASA Parker Solar Probe
NASA Parker Solar Probe
(source: NASA Science)

Launched in 2018, Parker Solar Probe bravely advances alone toward the scorching Sun to explore the Sun's outer corona. Despite its only 3-meter small body, it's capable of withstanding extreme heat up to 1,370-1,650°C (2,500-3,000°F) by reflecting intense solar radiation, and has reached extremely close to the Sun, flying through the Sun's outer atmosphere. He made history in December 2024 by coming the closest within 6.1 million kilometers (3.8 million miles. ONLY about 4.4 times the diameter of the Sun!) of the Sun’s surface.

In theory, using the same way of calculation for light above, the NASA Parker Solar Probe can travel a single lap of the equator of the Earth in about 3.5 minutes!



1,080,000,000 km/h / 690,000 km/h = approx. 1,565

1,565 times slower than light!


Plus, last but not least, we shouldn't forget to compare the speed of Sound!



Speed of Sound (1,235 km/h = Mach 1)


1,080,000,000 km/h / 1,235 km/h = approx. 874,494

874,494 (approximately 874,000) times slower than light.
Conversely, light goes at Mach 874,000!



Even if…


●Shinkansen bullet train

Even if you took a Shinkansen bullet train from Tokyo to London, about 9,500 km away (of course, the Amphibious version of Shinkansen), it would take you about 30 hours of non-stop travel in the shortest course.

But light could make that same trip in 0.03 seconds within a blink (taking about 0.3-0.4 seconds on average)!


●Commercial airplane

Even if you took a flight from New York to Paris, about 5,850 km away, it actually takes about 7 hours and 25 minutes on average.

But light can fly 25 round-trips (51 one-way trips) between the John F. Kennedy International Airport (JFK) and the Paris-Charles de Gaulle Airport (CDG) ONLY in a single second!





Consequently, we need to declare our complete defeat… Actually, in terms of speed, there is nothing humans have made to compare to light on our Earth. Even the NASA Parker Solar Probe, which currently boasts the fastest human-made object ever built, can reach ONLY about 0.06% (6/10,000) of the speed of light


Having said that, the speed of light is NOT altogether formidable, but varied and slowed down. In the next post, let's examine it together! Stick around!




Light is energy for life, fertility, hope, grace, and still infinite possibility for Human Beings as well as for All living organisms. We, as humanity, have always been attracted to, pursued, and worshipped light for millions of years. Our history has been with light, and also our future will be with light forever as long as the Sun is shining on us.




Further Reading (sponsored by Amazon):


●Frank L. Pedrotti, et al.(2017). Introduction to Optics (3rd edition). 622 pages. Cambridge University Press.

Introduction to Optics

Designed to offer a comprehensive and engaging introduction to intermediate- and upper-level undergraduate physics and engineering students, this “Introduction to Optics”(3rd edition) also allows instructors to select specialized content to suit individual curricular needs and goals!




Table of Contents


Front Matter

1 - Nature of Light
2 - Geometrical Optics
3 - Optical Instrumentation
4 - Wave Equations
5 - Superposition of Waves
6 - Properties of Lasers
7 - Interference of Light
8 - Optical Interferometry
9 - Coherence
10 - Fiber Optics
11 - Fraunhofer Diffraction
12 - The Diffraction Grating
13 - Fresnel Diffraction
14 - Matrix Treatment of Polarization
15 - Production of Polarized Light
16 - Holography
17 - Optical Detectors and Displays
18 - Matrix Methods in Paraxial Optics
19 - Optics of the Eye
20 - Aberration Theory
21 - Fourier Optics
22 - Theory of Multilayer Films
23 - Fresnel Equations
24 - Nonlinear Optics and the Modulation of Light
25 - Optical Properties of Materials
26 - Laser Operation
27 - Characteristics of Laser Beams
28 - Selected Modern Applications

References
Answers to Selected Problems
Index 



●Max Born, et al.(2019). Principles of Optics: 60th Anniversary Edition (7th edition). 992 pages. Cambridge University Press.


Principles of Optics

Principles of Optics” is one of the most highly cited and most influential physics books ever published, and one of the classic science books of the 20th century!




Table of Contents


Frontmatter
Preface to corrected reprint of the seventh edition
Preface to the first edition
Preface to the second edition
Preface to the third edition
Preface to the fourth edition
Preface to the fifth edition
Preface to the sixth edition
Preface to the seventh edition

Historical introduction

I - Basic properties of the electromagnetic field
II - Electromagnetic potentials and polarization
III - Foundations of geometrical optics
IV - Geometrical theory of optical imaging
V - Geometrical theory of aberrations
VI - Image-forming instruments
VII - Elements of the theory of interference and interferometers
VIII - Elements of the theory of diffraction
IX - The diffraction theory of aberrations
X - Interference and diffraction with partially coherent light
XI - Rigorous diffraction theory
XII - Diffraction of light by ultrasonic waves
XIII - Scattering from inhomogeneous media
XIV - Optics of metals
XV - Optics of crystals

Appendices
I - The Calculus of variations
II - Light optics, electron optics and wave mechanics
III - Asymptotic approximations to integrals
IV - The Dirac delta function
V - A mathematical lemma used in the rigorous derivation of the Lorentz-Lorenz formula
VI - Propagation of discontinuities in an electromagnetic field
VII - The circle polynomials of Zernike
VIII - Proof of the inequality |μ12(v| ≤ 1 for the spectral degree of coherence
IX - Proof of a reciprocity inequality
X - Evaluation of two integrals
XI - Energy conservation in scalar wavefields
XII - Proof of Jones' lemma

Author index
Subject index



●Grant R. Fowles (2012). Introduction to Modern Optics (Dover Books on Physics). 609 pages. Dover Publications.



Introduction to Modern Optics

This incisive “Introduction to Modern Physics” provides a basic undergraduate-level course in modern optics for students in physics, technology, and engineering!



Table of Contents


Preface

Chapter 1 The Propagation of Light

Elementary Optical Phenomena and the Nature of Light
Electrical Constants and the Speed of Light
Plane Harmonic Waves. Phase Velocity
Alternative Ways of Representing Harmonic Waves
Group Velocity
The Doppler Effect

Chapter 2 The Vectorial Nature of Light

General Remarks
Energy Flow. The Poynting Vector
Linear Polarization
Circular and Elliptic Polarization
Matrix Representation of Polarization. The Jones Calculus
Reflection and Refraction at a Plane Boundary
Amplitudes of Reflected and Refracted Waves. Fresnel's Equations
The Brewster Angle
The Evanescent Wave in Total Reflection
Phase Changes in Total Internal Reflection
Reflection Matrix

Chapter 3 Coherence and Interference

The Principle of Linear Superposition
Young's Experiment
The Michelson Interferometer
Theory of Partial Coherence. Visibility of Fringes
Coherence Time and Coherence Length
Spectral Resolution of a Finite Wave Train. Coherence and Line Width
Spatial Coherence
Intensity Interferometry
Fourier Transform Spectroscopy

Chapter 4 Multiple-Beam Interference

Interference with Multiple Beams
The Fabry-Perot Interferometer
Resolution of Fabry-Perot Instruments
Theory of Multilayer Films

Chapter 5 Diffraction

General Description of Diffraction
Fundamental Theory
Fraunhofer and Fresnel Diffraction
Fraunhofer Diffraction Patterns
Fresnel Diffraction Patterns
Applications of the Fourier Transform to Diffraction
Reconstruction of the Wave Front by Diffraction. Holography

Chapter 6 Optics of Solids

General Remarks
Macroscopic Fields and Maxwell's Equations
The General Wave Equation
Propagation of Light in Isotropic Dielectrics. Dispersion
Propagation of Light in Conducting Media
Reflection and Refraction at the Boundary of an Absorbing Medium
Propagation of Light in Crystals
Double Refraction at a Boundary
Optical Activity
Faraday Rotation in Solids
Other Magneto-optic and Electro-optic Effects
Nonlinear Optics

Chapter 7 Thermal Radiation and Light Quanta

Thermal Radiation
Kirchhoff's Law. Blackbody Radiation
Modes of Electromagnetic Radiation in a Cavity
Classical Theory of Blackbody Radiation. The Rayleigh-Jeans Formula
Quantization of Cavity Radiation
Photon Statistics. Planck's Formula
The Photoelectric Effect and the Detection of Individual Photons
Momentum of a Photon. Light Pressure
Angular Momentum of a Photon
Wavelength of a Material Particle. de Broglie's Hypothesis
Heisenberg's Uncertainty Principle

Chapter 8 Optical Spectra

General Remarks
Elementary Theory of Atomic Spectra
Quantum Mechanics
The Schrödinger Equation
Quantum Mechanics of the Hydrogen Atom
Radiative Transitions and Selection Rules
Fine Structure of Spectrum Lines. Electron Spin
Multiplicity in the Spectra of Many-Electron Atoms. Spectroscopic Notation
Molecular Spectra
Atomic-Energy Levels in Solids

Chapter 9 Amplification of Light. Lasers

Introduction
Stimulated Emission and Thermal Radiation
Amplification in a Medium
Methods of Producing a Population Inversion
Laser Oscillation
Optical-Resonator Theory
Gas Lasers
Optically Pumped Solid-State Lasers
Dye Lasers
Semiconductor Diode Lasers
Q-Switching and Mode Locking
The Ring Laser

Chapter 10 Ray Optics

Reflection and Refraction at a Spherical Surface
Lenses
Ray Equations
Ray Matrices and Ray Vectors
Periodic Lens Waveguides and Optical Resonators

Appendix I Relativistic Optics

The Michelson-Morley Experiment
Einstein's Postulates of Special Relativity
Relativistic Effects in Optics

The Experiments of Sagnac and of Michelson and Gale to Detect Rotation


References
Answers to Selected Odd-Numbered Problems
Index




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