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Reflectivity is the square of the magnitude of the Fresnel reflection coefficient, [4] which is the ratio of the reflected to incident electric field; [5] as such the reflection coefficient can be expressed as a complex number as determined by the Fresnel equations for a single layer, whereas the reflectance is always a positive real number.
The reflection angle is equal to the incidence angle, and the amount of light that is reflected is determined by the reflectivity of the surface. The reflectivity can be calculated from the refractive index and the incidence angle with the Fresnel equations, which for normal incidence reduces to [42]: 44
Relativistic quantum chemistry combines relativistic mechanics with quantum chemistry to calculate elemental properties and structure, especially for the heavier elements of the periodic table. A prominent example is an explanation for the color of gold : due to relativistic effects, it is not silvery like most other metals.
In optics, Cauchy's transmission equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent material. It is named for the mathematician Augustin-Louis Cauchy , who originally defined it in 1830 in his article "The refraction and reflection of light".
This can be achieved by combining the Forouhi–Bloomer dispersion equations for n(λ) and k(λ) with the Fresnel equations for the reflection and transmission of light at an interface [21] to obtain theoretical, physically valid, expressions for reflectance and transmittance.
In telecommunications and transmission line theory, the reflection coefficient is the ratio of the complex amplitude of the reflected wave to that of the incident wave. The voltage and current at any point along a transmission line can always be resolved into forward and reflected traveling waves given a specified reference impedance Z 0.
Here () is the reflectivity, = /, is the X-ray wavelength (e.g. copper's K-alpha peak at 0.154056 nm), is the density deep within the material and is the angle of incidence. The Fresnel reflectivity, R F ( Q ) {\displaystyle R_{F}(Q)} , in the limit of small angles where polarization can be neglected, is given by:
Bragg diffraction occurs when radiation of a wavelength λ comparable to atomic spacings is scattered in a specular fashion (mirror-like reflection) by planes of atoms in a crystalline material, and undergoes constructive interference. [10] When the scattered waves are incident at a specific angle, they remain in phase and constructively interfere.