Notes in Equations

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Status	Last Update	Fields
Published	06/26/2023	Microscopic Maxwell equations
Published	06/26/2023	Macroscopic Maxwell equations
Published	06/26/2023	Polarisation density (isotropic, homogeneous, dispersionless, linear medium)
Published	06/26/2023	Magnetization density (isotropic, homogeneous, dispersionless, linear medium)
Published	06/26/2023	Plane wave electric field solution
Published	06/26/2023	Plane wave frequency and wavevector relation
Published	06/26/2023	Plane wave magnetic field solution
Published	06/26/2023	Plane wave \(E_0\) and \(B_0\) relation
Published	06/26/2023	Amplitude of H in terms of the electric field
Published	06/26/2023	Poynting theorem and Poynting vector
Published	06/26/2023	Electromagnetic energy density
Published	06/26/2023	Time-averaged energy flux EM wave
Published	06/26/2023	Time-averaged electromagnetic energy density for linearly polarized plane waves in a linear, homogeneous medium
Published	06/26/2023	Fourier transform of polarisation density P and magnetization density M with disperison
Published	06/26/2023	Intensity attenuation factor
Published	06/26/2023	Phase velocity (Monochromatic plane wave)
Published	06/26/2023	Sellmeier equation
Published	06/26/2023	Group velocity for pluses
Published	06/26/2023	Group velocity dispersion (dispersion parameter)
Published	06/26/2023	Reflection and transmission coefficients of p-polarized EM waves across interfaces between isotropic, linear media
Published	06/26/2023	Reflection and transmission coefficients of s-polarized EM waves across interfaces between isotropic, linear media
Published	06/26/2023	Ratio of reflected or transmitted power to incident power
Published	06/26/2023	Brewster's angle
Published	06/26/2023	Mutual coherence function
Published	06/26/2023	Complex degree of temporal coherence
Published	06/26/2023	Relations between the wave propagation matrix and the scattering matrix
Published	06/26/2023	Helmholtz equation
Published	06/26/2023	Transfer function
Published	06/26/2023	Fresnel approximation assumption
Published	06/26/2023	Fresnel number
Published	06/26/2023	Fraunhofer approximation
Published	06/26/2023	Grating equation
Published	06/26/2023	Gaussian beam with waist at \(z=z_w\)
Published	06/26/2023	Waist radius Gaussian beam
Published	06/26/2023	Width of the intensity profile of a Gaussian beam with waist at \(z=z_w\)
Published	06/26/2023	Guoy phase shift of a Gaussian beam with waist at \(z=z_w\)
Published	06/26/2023	Radius of curvature of a Gaussian beam's wavefronts at z with waist at \(z=z_w\)
Published	06/26/2023	Complex beam parameter
Published	06/26/2023	ABCD law
Published	06/26/2023	Stability criterion for general spherical mirror resonators
Published	06/26/2023	Stability criterion for symmetric spherical mirror resonators
Published	06/26/2023	Resonance frequencies of Gaussian beams in spherical resonators
Published	06/26/2023	Einstein relation
Published	06/26/2023	Intensity spectrum and linewidth function for homogeneous broadening
Published	06/26/2023	Total linewidth for lifetime and collision broadening
Published	06/26/2023	Lineshape if inhomogeneous effects dominate
Published	06/26/2023	Construct rate equations for laser schemes.
Published	06/26/2023	Small-signal gain coefficient
Published	06/26/2023	Threshold gain condition
Published	06/26/2023	Steady-state photon flux
Published	06/26/2023	Output intensity and power CW laser
Status	Last Update	Fields