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<td>[[image:Cube-icon.png | link=Getting_Started_with_EM.Cube]] [[image:cad-ico.png | link=Building_Geometrical_Constructions_in_CubeCAD]] [[image:fdtd-ico.png | link=EM.Tempo]] [[image:prop-ico.png | link=EM.Terrano]] [[image:static-ico.png | link=EM.Ferma]] [[image:planar-ico.png | link=EM.Picasso]] [[image:metal-ico.png | link=EM.Libera]] [[image:po-ico.png | link=EM.Illumina]]</td>
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== Standard Python Operators ==
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== Standard Basic Mathematical Python Functions ==
{| class="wikitable"
| see [https://en.wikipedia.org/wiki/Mathieu_function Mathieu Functions on Wikipedia.]
|}
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== EM.Cube's Miscellaneous Python Functions ==
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{| class="wikitable"
!scope="col"| Syntax
!scope="col"| Type
!scope="col"| Description
!scope="col"| Notes
|-
| gauss(x,mu,sigma)
| EMAG Python function
| Gaussian function of mean mu and standard deviation sigma
| exp(-0.5*((x-mu)/sigma)**2)/sigma/sqrt(2*pi)
|-
| msin(x,r)
| EMAG Python function
| super-quadratic sine function of order r
| -
|-
| mcos(x,r)
| EMAG Python function
| super-quadratic cosine function of order r
| -
|-
| sigmoid(x,a)
| EMAG Python function
| Sigmoid function of slope a
| 2/(1 + exp(-a*x)) - 1
|-
| bh_window(x,T)
| EMAG Python function
| Blackman-Harris window function
| -
|-
| bh_step(x,T)
| EMAG Python function
| Blackman-Harris step function
| -
|-
| rand(x,y)
| EMAG Python function
| Random function
| -
|-
| rosen(x,y,a,b)
| EMAG Python function
| Rosenbrock function
| (a-x)**2 + b*(y-x**2)**2
|-
| mean(x,y)
| EMAG Python function
| arithmetic mean of x and y
| 0.5*(x+y)
|-
| geo(x,y)
| EMAG Python function
| geometric mean of x and y
| sqrt(x*y)
|-
| harm(x,y)
| EMAG Python function
| harmonic mean of x and y
| 2/(1/x+1/y)
|-
| sqr2(x,y)
| EMAG Python function
| sum of squares of x and y
| x**2 + y**2
|-
| sqr3(x,y,z)
| EMAG Python function
| sum of squares of x and y and z
| x**2 + y**2 + z**3
|-
| sqrt2(x,y)
| EMAG Python function
| radius of 2D point (x,y)
| sqrt(x**2 + y**2)
|-
| sqrt3(x,y,z)
| EMAG Python function
| radius of 3D point (x,y,z)
| sqrt(x**2 + y**2 + z**3)
|}
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== EM.Cube's Native Python Functions ==
DESCRIPTION: Creates a Gaussian beam source in [[EM.Tempo]]. If the Gaussian beam source 'label' already exists, its properties are modified.
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====generate_input_files====
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SYNTAX: generate_input_files()
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EXAMPLE: ''generate_input_files()''
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DESCRIPTION: Generates all the input files for the simulation engine of the current module without running a simulation.
====geo====
DESCRIPTION: Computes and returns the width-to-height ratio of a microstrip transmission line with characteristic impedance z0 in Ohms and substrate relative permittivity er.
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====microstrip_z0====
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SYNTAX: microstrip_z0({{ArgTypeReal}} w, {{ArgTypeReal}} h, {{ArgTypeReal}} er)
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EXAMPLE: ''microstrip_z0(2,0.5,2.2)''
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DESCRIPTION: Computes and returns the characteristic impedance (in Ohms) of a microstrip transmission line with width w, substrate height h and substrate relative permittivity er.
====microstrip_eps_eff====
EXAMPLE: ''microstrip_lambda_g(2,0.5,2.2,2e9)''
DESCRIPTION: Computes and returns the guide wavelength (in meters) of a microstrip transmission line with width w, substrate height h, and substrate relative permittivity er and at an operating frequency of freq_hertz.
====microstrip_src====
DESCRIPTION: Creates a microstrip port source in [[EM.Tempo]]. If the microstrip port 'label' already exists, its properties are modified.
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====microstrip_z0====
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SYNTAX: microstrip_z0({{ArgTypeReal}} w, {{ArgTypeReal}} h, {{ArgTypeReal}} er)
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EXAMPLE: ''microstrip_z0(2,0.5,2.2)''
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DESCRIPTION: Computes and returns the characteristic impedance (in Ohms) of a microstrip transmission line with width w, substrate height h and substrate relative permittivity er.
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====microstrip_zoc====
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SYNTAX: microstrip_zoc({{ArgTypeReal}} w, {{ArgTypeReal}} l, {{ArgTypeReal}} h, {{ArgTypeReal}} er, {{ArgTypeReal}} freq_hertz)
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EXAMPLE: ''microstrip_zoc(2,25,0.5,2.2,2e9)''
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DESCRIPTION: Computes and returns the input reactance (in Ohms) of an open-circuited microstrip transmission line with width w, length l, substrate height h and substrate relative permittivity er at an operating frequency of freq_hertz.
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====microstrip_zsc====
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SYNTAX: microstrip_zsc({{ArgTypeReal}} w, {{ArgTypeReal}} l, {{ArgTypeReal}} h, {{ArgTypeReal}} er, {{ArgTypeReal}} freq_hertz)
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EXAMPLE: ''microstrip_zsc(2,25,0.5,2.2,2e9)''
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DESCRIPTION: Computes and returns the input reactance (in Ohms) of a short-circuited microstrip transmission line with width w, length l, substrate height h and substrate relative permittivity er at an operating frequency of freq_hertz.
====mirror====
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