from sympy import sqrt, simplify
from sympy.physics.optics import Medium
from sympy.abc import epsilon, mu
from sympy.physics.units import speed_of_light, u0, e0, m, kg, s, A
c = speed_of_light.convert_to(m/s)
e0 = e0.convert_to(A**2*s**4/(kg*m**3))
u0 = u0.convert_to(m*kg/(A**2*s**2))
def test_medium():
m1 = Medium('m1')
assert m1.intrinsic_impedance == sqrt(u0/e0)
assert m1.speed == 1/sqrt(e0*u0)
assert m1.refractive_index == c*sqrt(e0*u0)
assert m1.permittivity == e0
assert m1.permeability == u0
m2 = Medium('m2', epsilon, mu)
assert m2.intrinsic_impedance == sqrt(mu/epsilon)
assert m2.speed == 1/sqrt(epsilon*mu)
assert m2.refractive_index == c*sqrt(epsilon*mu)
assert m2.permittivity == epsilon
assert m2.permeability == mu
# Increasing electric permittivity and magnetic permeability
# by small amount from its value in vacuum.
m3 = Medium('m3', 9.0*10**(-12)*s**4*A**2/(m**3*kg), 1.45*10**(-6)*kg*m/(A**2*s**2))
assert m3.refractive_index > m1.refractive_index
assert m3 > m1
# Decreasing electric permittivity and magnetic permeability
# by small amount from its value in vacuum.
"""
**Contains**
* Medium
"""
from __future__ import division
from sympy.physics.units import second, meter, kilogram, ampere
__all__ = ['Medium']
from sympy import Symbol, sympify, sqrt
from sympy.physics.units import speed_of_light, u0, e0
c = speed_of_light.convert_to(meter / second)
_e0mksa = e0.convert_to(ampere**2 * second**4 / (kilogram * meter**3))
_u0mksa = u0.convert_to(meter * kilogram / (ampere**2 * second**2))
class Medium(Symbol):
"""
This class represents an optical medium. The prime reason to implement this is
to facilitate refraction, Fermat's priciple, etc.
An optical medium is a material through which electromagnetic waves propagate.
The permittivity and permeability of the medium define how electromagnetic
waves propagate in it.
Parameters
==========
**Contains**
* Medium
"""
from __future__ import division
from sympy.physics.units import second, meter, kilogram, ampere
__all__ = ['Medium']
from sympy import Symbol, sympify, sqrt
from sympy.physics.units import speed_of_light, u0, e0
c = speed_of_light.convert_to(meter/second)
_e0mksa = e0.convert_to(ampere**2*second**4/(kilogram*meter**3))
_u0mksa = u0.convert_to(meter*kilogram/(ampere**2*second**2))
class Medium(Symbol):
"""
This class represents an optical medium. The prime reason to implement this is
to facilitate refraction, Fermat's priciple, etc.
An optical medium is a material through which electromagnetic waves propagate.
The permittivity and permeability of the medium define how electromagnetic
waves propagate in it.
Parameters