Dielectric Constant of Silicon and Silicon Dioxide¶

Getting Started¶

Dielectric constant (relative permittivity) of Si or SiO2.

• It takes 1 argument which is wavelength in micrometers.
• Similar to effective index function, wavelength range is between 1.2 μm and 1.7 μm.

Arguments:

• wavelength (float): wavelength in micrometers, range 1.2 - 1.7

Returns:

• permittivity (float): permittivity of specified material

Dielectric constant of silicon at a wavelength of 1.55 μm:

In [1]:

import sipkit

print(sipkit.perm_si(1.55))

import sipkit print(sipkit.perm_si(1.55))

WARNING:jax._src.lib.xla_bridge:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)

12.085653911764705

Dielectric constant of silicon dioxide at a wavelength of 1.55 μm:

In [2]:

print(sipkit.perm_oxide(1.55))

print(sipkit.perm_oxide(1.55))

2.085216543284305

Exceptions¶

Unless the first argument is between 1.2 μm and 1.7 μm, it will raise an exception:

In [3]:

print(sipkit.perm_oxide(1.15))

print(sipkit.perm_oxide(1.15))

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
/tmp/ipykernel_352/3227797026.py in <module>
----> 1 print(sipkit.perm_oxide(1.15))

~/checkouts/readthedocs.org/user_builds/sipkit/envs/1.4.1/lib/python3.7/site-packages/sipkit/permittivity.py in perm_oxide(wavelength)
     71     """
     72     if not wav_min <= wavelength <= wav_max:
---> 73         raise ValueError("Wavelength must be between 1.2-1.7 micron")
     74 
     75     return perm["SiO2"](wavelength * 1000)

ValueError: Wavelength must be between 1.2-1.7 micron

In [4]:

print(sipkit.perm_oxide(1.823))

print(sipkit.perm_oxide(1.823))

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
/tmp/ipykernel_352/3804957363.py in <module>
----> 1 print(sipkit.perm_oxide(1.823))

~/checkouts/readthedocs.org/user_builds/sipkit/envs/1.4.1/lib/python3.7/site-packages/sipkit/permittivity.py in perm_oxide(wavelength)
     71     """
     72     if not wav_min <= wavelength <= wav_max:
---> 73         raise ValueError("Wavelength must be between 1.2-1.7 micron")
     74 
     75     return perm["SiO2"](wavelength * 1000)

ValueError: Wavelength must be between 1.2-1.7 micron

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Last update: 2022-12-25
Created: 2022-10-19