Photons & electrons

About photons & electrons
  • Photons are fundamental particles and are considered to be the primary constituent of visible light and all other types of electromagnetic radiation.
  • Photons are considered to be pure energy, they have no mass or electric charge and are dimensionless.
  • Since photons exist at the subatomic level alongside other fundamental particles such as electrons, quarks, leptons and gauge bosons, they exist outside the range of our everyday perception.
  • However, when photons interact with electrons, the effects can be seen by the human eye.
  • For example, when light travels through air or water, it interacts with the electrons of the atoms and molecules it encounters, causing different wavelengths to scatter in various directions. This scattering of light is visible to the human eye when we see the blue colour of the sky or the red colour of a sunset.
  • If electrons had eyes, they would likely perceive photons as disturbances in the electric and magnetic fields that pervade the space around them.
  • In the event of a collision between a photon and an electron, the interaction might lead the electron to absorb the energy of the photon and transition to a higher energy state or to emit a new photon as it returns to a lower energy state.
  • These types of interactions are frequently described as “excitation” or “de-excitation” processes and can happen without any significant release of energy or the production of any visible effects.

Contemporary quantum mechanics brings another perspective to the way a photon interacts with an electron.

  • Photons are the carriers of electromagnetic force.
  • When a photon interacts with an electron, the interaction can take many different forms, depending on the energy and nature of the photon, and the specific properties of the electron and the surrounding environment.
  • In some cases, the interaction can cause the electron to take in the energy of the photon and move to a higher energy level, or to give off a new photon as it returns to a lower energy level.
  • The interaction between a photon and an electron must be described in terms of the probabilistic nature of quantum mechanics because the precise outcome of the interaction cannot be predicted with certainty. Only the probabilities of different outcomes can be calculated.
  • Other useful concepts that quantum mechanics brings to this interaction are:
  • Particle-Wave Duality: As both particles and waves, photons and electrons can be described using wavefunctions that give the probability of finding the particle at any point in space. The interaction isn’t deterministic, where you can exactly predict the outcome, but probabilistic, meaning you can calculate the likelihood of different outcomes.
  • Energy Levels and Quantum Jumps: The absorption of a photon’s energy by an electron is probabilistic. The electron has a certain probability to absorb the energy and “jump” to a higher level. If the electron is in a superposition of states (a fundamental concept in quantum mechanics), it may or may not absorb the photon depending on how the wavefunction collapses upon measurement.
  • Wavefunction: This provides the probabilities of the outcomes of measurements of a quantum system. It essentially describes everything that can be known about a quantum system. The act of measuring these properties causes the wavefunction to collapse to a particular state.
  • Wavefunction collapse: When a measurement is made on a quantum system, the wavefunction “collapses” into a state that is consistent with the outcome of the measurement. This state is one of the possible states that the system could have been in before the measurement, according to the superposition principle.
  • Superposition: According to quantum mechanics, particles can be in multiple positions and states simultaneously until a measurement is made, a property known as superposition.
    • Until a measurement is made, a particle doesn’t have a definite position but rather exists in a spread of possible positions.
    • Similar to positions, a quantum particle can exist in a superposition of other states. For example, an electron in an atom can exist in a superposition of spin states (spin up and spin down), or a superposition of energy states.
  • Uncertainty Principle: Because of the inherent uncertainty in position and momentum, the exact outcome of an interaction between a photon and an electron can’t be predicted with absolute certainty. We can only talk about probabilities.
  • Probability and Wavefunction Collapse: The interaction between the photon and the electron could result in various outcomes, each with its own probability, defined by the wavefunction. The exact outcome isn’t known until the wavefunction collapses upon measurement. This is inherently a probabilistic event.
  • Quantum Entanglement: If a photon and electron become entangled, the state of one particle will instantly affect the state of the other, no matter how far apart they are. This correlation is perfectly deterministic, but the outcome of measurements on each individual system is probabilistic, giving rise to the paradoxical nature of entanglement.

Photons, electric & magnetic fields

About photons, electric and magnetic fields
  • Photons are the elementary particles of electromagnetic radiation. They are quanta or discrete packets of energy that make up electromagnetic waves.
  • Electromagnetic waves are composed of oscillating electric and magnetic fields. These fields carry the energy of the photons.
  • When electromagnetic radiation, such as visible light, is generated or absorbed, it involves the emission or absorption of photons.
  • The interaction between photons and electric and magnetic fields is fundamental to many physical processes, including the emission and absorption of light, the production of radio waves, and the behaviour of matter at the atomic and subatomic levels.
Photons & electric fields
  • Photons and electric fields are intimately connected in the framework of electromagnetic radiation.
  • When an electric field oscillates or changes, it generates electromagnetic waves.
  • This oscillation of the electric field gives rise to the emission of photons.
  • The energy of each photon is directly proportional to the frequency of the electric field oscillation.
  • Higher-frequency oscillations produce photons with higher energy, while lower-frequency oscillations produce photons with lower energy.
  • When photons interact with charged particles or materials with electric fields, they can be absorbed, transmitted, or scattered.
  • This interaction leads to phenomena such as the photoelectric effect, where photons can eject electrons from a material by transferring their energy to the electrons, and optical phenomena like reflection and refraction.
Photons & magnetic fields
  • When a photon interacts with a magnetic field, it can cause the magnetic field to oscillate, creating an electromagnetic wave.
  • This is because a magnetic field is one component of the electromagnetic field, which also includes an electric field.
  • When a photon interacts with the magnetic field, it transfers energy to it, causing the magnetic field to oscillate back and forth.
  • The oscillation of the magnetic field, in turn, creates an oscillating electric field, and the two fields together form an electromagnetic wave that propagates through space at the speed of light.
Fields
  • Fields refer to regions in space where a physical quantity is present that can exert a force or influence on other objects or particles.
  • Fields are used in physics to describe how certain properties or forces can vary with position and time.
  • In the case of electromagnetic fields, they represent the distribution of electric and magnetic properties in space.
  • An electric field is associated with electric charges and describes the force experienced by other charges (positive or negative) in its presence. Electric fields exist in the vicinity of charged objects and can exert forces on other charged particles.
  • A magnetic field is associated with moving electric charges, such as electric currents in wires, and it describes the force experienced by other moving charges (currents) in its vicinity. Magnetic fields exist around current-carrying conductors and can interact with moving charges, causing them to experience a magnetic force.
  • Electric, and magnetic forces, can be represented using vector fields.
    • In the case of an electric vector field, the vectors represent the electric force that a charged object would experience at different points in space due to the presence of other electric charges.
    • In the case of a magnetic vector field, the vectors represent the magnetic force that a moving charged object would experience at different points in space due to the presence of magnetic fields.
  • Fields are often represented in two dimensions using field lines.
    • The density of field lines indicates the strength of the field at a particular point – the more dense the lines, the stronger the field.
  • The conventions for how to show gravitational, electric, and magnetic field lines are all slightly different to model the unique aspects of each force. Some common models are shown below.

Photopic Curve

A photopic curve is a graphical representation of the sensitivity of the human eye to light under well-lit conditions, such as during the day or in brightly lit environments.

  • The photopic curve appears as a line graph that illustrates how sensitive the human eye is to different wavelengths (colours) of light in these bright conditions. This curve is essential for understanding colour perception and visual acuity in bright light. It shows the minimum amount of light required for the eye to detect various wavelengths.
  • This information is derived from the response of our cone cells, which are responsible for colour vision and function optimally in bright light.
  • Closely related to a photopic curve is a scotopic curve is a graphical representation of the sensitivity of the human eye to light under low-light conditions, such as at night or in very dimly lit environments.
  • The scotopic curve also resembles a line graph that shows how sensitive the eye is to light in these low-light conditions. It is an important tool for understanding night vision. The curve illustrates the minimum amount of light needed for the eye to detect different wavelengths (colours) of light.
  • This information comes from the response of our rod cells, which are more active in low light compared to the cone cells that dominate in bright conditions.
  • It is interesting to note that the scotopic and photopic curves use different units to measure light. The scotopic curve uses units related to light intensity per unit area (such as brightness per square degree), whereas the photopic curve uses units similar to overall brightness.

Photopic curve

A photopic curve is a graphical representation of the sensitivity of the human eye to light under normal, bright lighting conditions. It indicates that the human eye has the strongest response to green light, with less sensitivity to the red and violet ends of the visible spectrum.

  • The standard photopic curve used in the CIE 1931 colour space is based on the photopic luminosity function, which describes the average sensitivity of the human eye to different wavelengths of light under normal, bright lighting conditions.
  • A photopic luminosity function is a mathematical function used to derive the photopic curve from the CIE 1931 colour space.
  • The CIE 1931 colour space is a standardized system for describing colours based on human colour perception. It was developed by the International Commission on Illumination (CIE) in 1931 and is still widely used today.
  • In low light conditions, the sensitivity of the human eye to light changes, and the scotopic curve is used to describe the response of the eye to light.
  • Scotopic and photopic curves have different units of measurement.
    • A photopic curve uses units of luminous flux, which is a measure of the total amount of visible light emitted by a source.
    • A scotopic curve, on the other hand, uses units of luminous intensity, which is a measure of the brightness of a light source per unit of solid angle.

Pigment epithelium

The retinal pigment epithelium (RPE) is a layer of pigmented cells located between the retina and the choroid of the human eye that supports the photoreceptor cells (rods and cones).

  • The RPE plays a critical role in providing nutrients, removing waste products, and regenerating visual pigments needed for photoreceptor function.
  • The RPE is firmly attached to the underlying Bruch’s membrane of the choroid on one side, but less firmly connected to the photoreceptor cells of the retina on the other. This weaker attachment can contribute to retinal detachment.
  • The choroid is a vascular layer rich in blood vessels and connective tissue that lies between the retina and the sclera. It provides oxygen and nutrients to the outer layers of the retina and parts of the sclera, supporting the function of the retinal pigment epithelium and photoreceptors.

Pigment epithelium

Pigment epithelium

Pigment epithelium is a layer of cells at the boundary between the retina and the eyeball that nourish neurons within the retina. It is firmly attached to the underlying choroid is the connective tissue that forms the eyeball on one side but less firmly connected to retinal visual cells on the other.

Pigment epithelium

The retinal pigment epithelium (RPE) is a layer of pigmented cells located between the retina and the choroid of the human eye that supports the photoreceptor cells (rods and cones).

The retinal pigment epithelium (RPE) is a layer of pigmented cells located between the retina and the choroid of the human eye that supports the photoreceptor cells (rods and cones).
<ul>
<li>The RPE plays a critical role in providing nutrients, removing waste products, and regenerating visual pigments needed for photoreceptor function.</li>
<li>The RPE is firmly attached to the underlying Bruch’s membrane of the choroid on one side, but less firmly connected to the photoreceptor cells of the retina on the other. This weaker attachment can contribute to retinal detachment.</li>
<li>The choroid is a vascular layer rich in blood vessels and connective tissue that lies between the retina and the sclera. It provides oxygen and nutrients to the outer layers of the retina and parts of the sclera, supporting the function of the retinal pigment epithelium and photoreceptors.</li>
</ul>

Pixel

A pixel is the smallest addressable element in a digital image that can be uniquely processed and is defined by its spatial coordinates and colour values.

  • A pixel, also known as a picture element, is a physical point in a digital image and the smallest addressable element of a display device.
  • In the editing process, a pixel is the smallest controllable element of a digital image.
  • Many digital displays, including LCD screens, contain LEDs arranged in a grid pattern and emit light when an electrical current is passed through them, allowing them to display different colours and brightness levels.
  • OLED displays use a different technology that uses organic compounds that emit light when an electrical current is passed through them.
  • The RGB colour model is commonly used for still images displayed on digital screens, such as computer monitors and televisions.
  • In the RGB colour model, each pixel is composed of three subpixels that control the red, green, and blue colour channels.
  • By varying the light emitted by an LED, every pixel can display a wide range of colours and shades, allowing for the creation of highly detailed and vibrant images on screen.
  • The resolution of a digital screen, or the number of pixels it can display, is an important factor in determining its overall image quality and sharpness.
  • Higher-resolution screens can display more pixels per inch (PPI), resulting in smoother, more detailed images with less visible pixelation.
  • Newer display technologies may use variations of the RGB colour model to display still images, such as RGBW (Red, Green, Blue, White) or RGBY (Red, Green, Blue, Yellow).

Pixel

A pixel is the smallest addressable element in a digital image that can be uniquely processed and is defined by its spatial coordinates and colour values.

  • A pixel, or a picture element, is a physical point in a digital image and the smallest addressable element of a display device.
  • During editing, a pixel is the smallest controllable element of a digital image.
  • Many digital displays, including LCD screens, contain LEDs arranged in a grid pattern and emit light when an electrical current is passed through them, allowing them to display different colours and brightness levels.
  • OLED displays use a different technology that uses organic compounds that emit light when an electrical current is passed through them.
  • The RGB colour model is commonly used for still images displayed on digital screens, such as computer monitors and televisions.
  • In the RGB colour model, each pixel is composed of three sub-pixels that control the red, green, and blue colour channels.
  • By varying the light emitted by an LED, every pixel can display a wide range of colours and shades, allowing for the creation of highly detailed and vibrant images on-screen.

Plank constant

The Planck constant is a fundamental constant of nature that is denoted by the symbol h.

  • The Planck constant is a measure of the smallest possible amount of energy that can be carried by a single quantum of electromagnetic radiation (a photon).
  • The Planck constant is also related to the wavelength of a photon by the equation E = hf, where E is the energy of the photon, f is its frequency, and h is the Planck constant.
  • The equation, energy (E) = Planck constant (h) x frequency (f), allows the quantity of energy associated with electromagnetic radiation to be calculated if the frequency is known.
  • The Planck constant is used extensively in modern physics, particularly in the fields of quantum mechanics, atomic physics, and condensed matter physics.
  • It plays a crucial role in determining the energy levels of atoms and molecules, as well as the behaviour of subatomic particles such as electrons and photons.
  • The value of the Planck constant is approximately 6.626 x 10^-34 joule-seconds (Js).

Plank constant

The Planck constant is a fundamental constant of nature that is denoted by the symbol h.

  • The Planck constant is a measure of the smallest possible amount of energy that can be carried by a single quantum of electromagnetic radiation (a photon).
  • The Planck constant is also related to the wavelength of a photon by the equation E = hf, where E is the energy of the photon, f is its frequency, and h is the Planck constant.
  • The equation, energy (E) = Planck constant (h) x frequency (f), allows the quantity of energy associated with electromagnetic radiation to be calculated if the frequency is known.
  • The Planck constant is used extensively in modern physics, particularly in the fields of quantum mechanics, atomic physics, and condensed matter physics.
  • It plays a crucial role in determining the energy levels of atoms and molecules, as well as the behaviour of subatomic particles such as electrons and photons.
  • The value of the Planck constant is approximately 6.626 x 10^-34 joule-seconds (Js).

Polarization

Polarization of electromagnetic waves refers to the direction in which they oscillate, perpendicular to the direction of the wave’s propagation.

  • Polarization can be induced in light waves by various means, such as reflection, refraction, and scattering.
  • There are several types of polarization, including circular, elliptical and plane polarization.
    • Circular polarization refers to waves that rotate in circles as they propagate, with the electric and magnetic fields perpendicular to each other.
    • Elliptical polarization combines linear and circular polarization, in which the wave oscillates in an elliptical pattern.
    • Plane polarization (sometimes called linear polarization) refers to waves that oscillate in a single plane, such as waves that are vertically or horizontally polarized.

Polarization & rainbows

About plane polarization & rainbows
  • Plane polarization is one of the optical effects that account for the appearance of rainbows.
  • Plane polarization, also known as linear polarization, is a characteristic of electromagnetic waves, including light.
    • When an electromagnetic wave is plane polarized, the electric field remains fixed in a particular direction as the wave propagates. As a result, the light oscillates on a single plane, hence the name.
  • The polarization of light in rainbows contributes to the vividness and intensity of the colours we see.
  • The light that produces rainbow effects is typically 96% polarized. This means that:
    • Observed light exiting a raindrop is polarized on a plane bisecting each droplet and tangential to the arcs of the rainbow.
  • The presence of other atmospheric phenomena, such as water droplets of varying sizes or ice crystals, can affect the amount of plane polarization and so influence the appearance of rainbows.

Polychromatic

Polychromatic refers to something that contains or displays multiple colours. In various contexts, this can describe anything from art and design to objects in nature that reflect or emit a variety of colours.

  • In the context of light, polychromatic refers to light that contains multiple wavelengths, each corresponding to a different colour in the visible spectrum. For example, white light is polychromatic because it is a combination of all the colours (wavelengths) within the visible spectrum.
  • Sunlight is a perfect example of polychromatic light, as it contains all the visible wavelengths that combine to form white light. When this light interacts with the atmosphere or objects, it can be scattered or reflected to produce a range of colours.
  • In a rainbow, polychromatic sunlight is dispersed through water droplets, splitting into its constituent colours across the visible spectrum, producing the familiar bands of red, orange, yellow, green, blue, indigo, and violet.
  • The opposite of polychromatic is monochromatic, which refers to light composed of only one wavelength, producing a single colour or hue.

Polychromatic

Polychromatic refers to something that contains or displays multiple colours. In various contexts, this can describe anything from art and design to objects in nature that reflect or emit a variety of colours.

  • In the context of light, polychromatic refers to light that contains multiple wavelengths, each corresponding to a different colour in the visible spectrum. For example, white light is polychromatic because it is a combination of all the colours (wavelengths) within the visible spectrum.
  • Sunlight is a perfect example of polychromatic light, as it contains all the visible wavelengths that combine to form white light. When this light interacts with the atmosphere or objects, it can be scattered or reflected to produce a range of colours.
  • In a rainbow, polychromatic sunlight is dispersed through water droplets, splitting into its constituent colours across the visible spectrum, producing the familiar bands of red, orange, yellow, green, blue, indigo, and violet.
  • The opposite of polychromatic is monochromatic, which refers to light composed of only one wavelength, producing a single colour or hue.

Potential energy

Potential energy is energy in storage. When potential energy is released it becomes kinetic energy.

  • Potential energy can be converted into other forms of energy, such as kinetic energy, which is the energy of motion.
  • Potential energy is not currently being used, but it has the potential to do work in the future.
  • Potential energy comes in different forms such as:
    • Chemical potential energy is the energy stored in the bonds between atoms and molecules in a substance, such as the energy stored in food.
    • Elastic potential energy is the energy stored in an object when it is compressed or stretched, such as a spring.
    • Electric potential energy is the energy stored in an electric field due to the position of charged particles, such as the energy stored in a battery.
    • Gravitational potential energy is the energy an object has due to its position in a gravitational field, such as a ball held up in the air.

Potential energy

Potential energy is energy in storage. When potential energy is released it becomes kinetic energy.

  • Potential energy can be converted into other forms, such as kinetic energy, which is the energy of motion.
  • Potential energy is not currently being used, but it has the potential to do work in the future.
  • Potential energy comes in different forms such as:
    • Chemical potential energy is the energy stored in the bonds between atoms and molecules in a substance, such as the energy stored in food.
    • Elastic potential energy is the energy stored in an object when it is compressed or stretched, such as a spring.
    • Electric potential energy is the energy stored in an electric field due to the position of charged particles, such as the energy stored in a battery.
    • Gravitational potential energy is the energy an object has due to its position in a gravitational field, such as a ball held up in the air.

Power

In physics, power is defined as the rate at which work is done. So power describes how quickly energy is transferred from one system to another when work is done.

In mathematical terms, power is defined as the amount of work done per unit of time.

  • Power measures how quickly energy is used or generated.
  • In physics, power is defined as the rate at which work is done or the rate at which energy is transferred or converted. It quantifies how quickly energy is used or generated within a system.
  • When work is done on an object, energy is transferred to or from it, and power measures how rapidly this transfer occurs.
  • Essentially, power describes the efficiency or speed of energy conversion processes.
  • The equation used to measure power is P = W/t, where P is power, W is work, and t is time.
  • Energy is measured in joules, while power is measured in watts or joules per second.

Here is an example:

  • If you lift a 10 kg object one meter in two seconds, the work done is W = Fd = mg*d = 10 kg * 9.81 m/s^2 * 1 m = 98.1 J, where F is the force applied, d is the distance lifted, m is the mass of the object, and g is the acceleration due to gravity.
  • The power used to lift the object is then P = W/t = 98.1 J / 2 s = 49.05 W.
  • This means that you are transferring energy to the object at a rate of 49.05 J/s, or 49.05 watts.
  • Horsepower is another unit of power where one horsepower is equal to 745.7 watts
  • One horsepower is equivalent to the power required to lift 550 pounds of weight at a rate of one foot per second.
  • James Watt, a Scottish engineer, adopted the term in the late 18th century to compare the output of steam engines with the power of draft horses. It was later expanded to include the output power of other types of piston engines, turbines, electric motors, and other machinery.

Power

In physics, power is defined as the rate at which work is done. So power describes how quickly energy is transferred from one system to another when work is done.

  • In mathematical terms, power is defined as the amount of work done per unit of time.
  • Power measures how quickly energy is generated or used.
  • When work is done on an object, energy is transferred to or from it, and power measures how rapidly this transfer occurs.
  • Essentially, power describes the efficiency or speed of energy conversion processes.

Primary colour

Primary colours are sets of colours from which other colours can be created by blending coloured lights or mixing pigments and dyes.

  • Human perception of colour is based on the sensitivity of the eye to the electromagnetic spectrum, specifically the visible spectrum of light that includes spectral colours between red and violet.
  • A set of primary colours is a set of coloured lights or pigments that can be combined in varying amounts to create a wide range of colours.
  • Different sets of primary colours are used for additive colour mixing (of light) and subtractive colour mixing (of pigments).
  • Colour models such as RGB, CMY and RYB use different sets of primary colours.
  • The process of combining colours to produce other colours is used in applications such as electronic displays and colour printing to create a range of colours that can be perceived by humans.
  • Additive and subtractive colour models can be used to predict how wavelengths of visible light or pigments interact with each other.
  • RGB colour is a technology used to reproduce colour in ways that match human perception.
  • The primary colours used in colour-spaces such as CIELAB, NCS, Adobe RGB (1998), and sRGB are determined by an extensive investigation of the relationship between visible light and human colour vision.
  • An important point to note is that while there are several different sets of primary colours, there is no universally agreed upon set of primary colours. Different colour models and industries use different sets of primary colours. The specific hue that correspond with each primary colour can also vary depending on the colour model , colour space and mediums concerned.
  • Primary colours are sets of colours from which other colours can be created by blending coloured lights or mixing pigments and dyes.
  • Human perception of colour is based on the sensitivity of the eye to the electromagnetic spectrum, specifically the visible spectrum of light that includes spectral colours between red and violet.
  • A set of primary colours is a set of coloured lights or pigments that can be combined in varying amounts to create a wide range of colours.
  • Different sets of primary colours are used for additive colour mixing (of light) and subtractive colour mixing (of pigments).
  • Colour models such as RGB, CMY and RYB use different sets of primary colours.
  • The process of combining colours to produce other colours is used in applications such as electronic displays and colour printing to create a range of colours that can be perceived by humans.