Light Reflectance: Explaining Specular Reflection

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Specular reflection occurs when light hits a smooth surface, causing photons to interact with the surface's atoms or molecules in a predictable manner. According to the law of reflection, the angle of incidence equals the angle of reflection. Smooth surfaces have an ordered arrangement of atoms, allowing for this predictable reflection, while rough surfaces scatter light due to their disordered structure. In a quantum context, when a photon strikes a surface, it can be absorbed by an atom, exciting its electrons, and then re-emitted, resulting in reflection. This explanation clarifies the mechanism behind specular reflection in both classical and quantum terms.
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Good morning!

I am trying to understand the mechanism of light reflectance in a quantum context. Diffused light seems to be straightforward, however I cannot find a simple (if such a thing exists) explanation regarding specular reflection. What is the interaction between the photons and atoms/molecules that causes light to be reflected according to the angles described in optics?

Thanks in advance!

Adam
 
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how things work I dare not ask but what will happen in a certain situation we might find an answer to. I suggest you check out a book called QED by R. Feynman in your local library.
 


Good morning Adam,

Specular reflection is a type of light reflectance that occurs when light hits a smooth, shiny surface. In this case, the photons of light interact with the atoms or molecules on the surface in a specific way.

When light hits a smooth surface, such as a mirror or a still body of water, the photons are reflected in a predictable way according to the law of reflection. This law states that the angle of incidence (the angle at which the light hits the surface) is equal to the angle of reflection (the angle at which the light bounces off the surface).

This interaction between the photons and atoms/molecules on the surface is due to the reflective properties of the material. Smooth surfaces have a regular, ordered arrangement of atoms or molecules, which allows for the photons to be reflected in a predictable manner. In contrast, rough surfaces have an irregular, disordered arrangement of atoms or molecules, causing the light to be scattered in various directions, leading to diffused reflection.

In a quantum context, the interaction between photons and atoms/molecules can be explained by the principles of quantum mechanics. When a photon hits the surface, it can be absorbed by an atom or molecule, causing its electrons to jump to a higher energy level. This energy is then re-emitted in the form of a new photon, with the same frequency and direction as the original photon. This process repeats itself, resulting in the reflection of light according to the law of reflection.

I hope this explanation helps to clarify the concept of specular reflection for you. Let me know if you have any further questions. Have a great day!

 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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