README.md

EM3d

This is a package that input your complex permittivity and permeability to generate plots of reflection loss as functions of thickness and frequency. Steps to prepare your data and to use this package:

Prepare your data

Arrange your raw data in the following sequence: frequency (either GHz or Hz), real part of complex permittivity (ε'), imaginary part of complex permittivity (ε"), real part of complex permeability (μ'), and imaginary part of complex permeability (μ").

How to use this package

  1. Calculate the variations of tan δ~m~ (magnetic loss tangent), tan δ~e~ (dielectric loss tangent), and Reflection loss (RL) as functions of thickness and frequency using the function calcultion_EM_data. The data are defaulted calculated using thickness of between 0.01 (d1) and 10 mm (d2) with a step of 0.1 mm.

    $$ tan\delta_e=\epsilon'/\epsilon" $$

    $$ tan\delta_m=\mu'/\mu" $$

    $$ RL=20log|\frac{Z-Z_0}{Z+Z_0}| $$

    $$ Z_0=\sqrt{\mu_0/\epsilon_0} $$

    $$ Z=Z_0\sqrt{\frac{\mu}{\epsilon}}tanh(i\frac{2\pi fd}{c})\sqrt{\mu \epsilon} $$

    where f is frequency (Hz), d is thickness (m), c is the light speed.

  2. You can use save the generated data frame for subsequently visualization.

  3. To calculate the bandwidth of RL \< -10 dB at each thickness, using the function EM_bandwidth. The default RL is -10 dB, however, you could assign the RL to any value.

  4. To calculate the maximum RL at each thickness, using the function EM_maxRL.



chenxg83/EM3d documentation built on Dec. 31, 2020, 9:58 p.m.