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Energy Unit Conversions


eV nm cm-1 fs
meV μm THz ps


   Relevant formulas: `E=hc/λ`  `ν=c/λ`  `κ=1/λ`  `T=1/ν`

   Definitions:

E = energy(eV)  λ = wavelength(m)  κ = wavenumber(m-1)  T = period(s) 

ν = frequency(s-1 or Hz) c = speed of light = 299792458 m/s

h = Planck's constant = 4.135667516 • 10-15 eV*s 


Spot Size of a Gaussian Beam


λ nm d mm f mm
dof um S um


   Relevant formulas: `S=(4*M^2*λ*f)/(d*π)`     `dof=2*z_r`     `z_r=(π/(M^2*λ))*(S^2/4)`

   Definitions:

M2 is the beam quality factor.

λ is the wavelength of the light in the beam.

f is the focal length of the lens.

d is the diameter of the beam at the lens.

zr is the Rayleigh range.

dof is the depth of focus.


Decibel Calculator


  Quantity type: Decibel unit: Reference level:
 
  Level: Decibels:


   Relevant formulas: `G_{dB}=10log_10(P_2/ P_1 )`     `G_{dB}=20log_10(V_{out}/ V_{\text{in}} )`

   Definitions:

P2 is the power level.

P1 is the referenced power level.

GdB is the power ratio or gain in dB.


Drude Lorentz Model


`\omega_p` rad/s `\omega_0` rad/s `\lambda_{min}` nm `\lambda_{max}` nm
 
`\lambda_{step}` nm `\tau_1` s `\tau_2` s `f_i`


   Relevant formulas: `\varepsilon=\varepsilon_\infty-\omega_p^2/(\omega^2+j*\omega/\tau_1)+(f_i*\omega_p^2)/(\omega_0^2-\omega^2-j*\omega/\tau_2)`

   Definitions:

wp is plasma frequency.

w0 is resonant frequency.

t1 is Drude decay lifetime.

t2 is resonant oscillation decay lifetime.


Conversion of Bandwidth and Pulse Duration
for Transform Limited Pulse


`\Delta\tau` fs `\lambda` nm TBWP `\Delta\lambda` nm


   Minimum TBWP for pulses with Gauss-shape: 0.44 Sech^2-shape: 0.315

   Relevant formulas: `TBWP=\Delta\tau*\Delta\lambda*c/\lambda^2`

   Definitions:

`\Delta\tau` is pulse duration.

`\Delta\lambda` is bandwidth.

`\lambda` is wavelength.

TBWP is time bandwidth product.



Transfer Matrix Method(建设中)


thickness nm polarization `\theta` deg
 
`\lambda_{min}` nm `\lambda_{max}` nm `\lambda_{step}` nm


 


College of Information Science & Electronic Engineering
Zhejiang University, Hangzhou 310027, China
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