tidy3d.Sphere

class Sphere

Bases: Centered, Circular

Spherical geometry.

Parameters:

• attrs (dict = {}) – Dictionary storing arbitrary metadata for a Tidy3D object. This dictionary can be freely used by the user for storing data without affecting the operation of Tidy3D as it is not used internally. Note that, unlike regular Tidy3D fields, attrs are mutable. For example, the following is allowed for setting an attr obj.attrs['foo'] = bar. Also note that Tidy3D` will raise a TypeError if attrs contain objects that can not be serialized. One can check if attrs are serializable by calling obj.json().

• radius (NonNegativeFloat) – [units = um]. Radius of geometry.

• center (Union[tuple[Union[float, autograd.tracer.Box], Union[float, autograd.tracer.Box], Union[float, autograd.tracer.Box]], Box] = (0.0, 0.0, 0.0)) – [units = um]. Center of object in x, y, and z.

Example

>>> b = Sphere(center=(1,2,3), radius=2)

Attributes

bounds	Returns bounding box min and max coordinates.
attrs

Methods

inside(x, y, z)	For input arrays x, y, z of arbitrary but identical shape, return an array with the same shape which is True for every point in zip(x, y, z) that is inside the volume of the Geometry, and False otherwise.
intersections_plane([x, y, z])	Returns shapely geometry at plane specified by one non None value of x,y,z.
intersections_tilted_plane(normal, origin, to_2D)	Return a list of shapely geometries at the plane specified by normal and origin.

Inherited Common Usage

inside(x, y, z)

For input arrays x, y, z of arbitrary but identical shape, return an array with the same shape which is True for every point in zip(x, y, z) that is inside the volume of the Geometry, and False otherwise.

Parameters:

• x (np.ndarray[float]) – Array of point positions in x direction.

• y (np.ndarray[float]) – Array of point positions in y direction.

• z (np.ndarray[float]) – Array of point positions in z direction.

Returns:

True for every point that is inside the geometry.

Return type:

np.ndarray[bool]

intersections_tilted_plane(normal, origin, to_2D)

Return a list of shapely geometries at the plane specified by normal and origin.

Parameters:

• normal (Coordinate) – Vector defining the normal direction to the plane.

• origin (Coordinate) – Vector defining the plane origin.

• to_2D (MatrixReal4x4) – Transformation matrix to apply to resulting shapes.

Returns:

List of 2D shapes that intersect plane. For more details refer to Shapely’s Documentation.

Return type:

List[shapely.geometry.base.BaseGeometry]

intersections_plane(x=None, y=None, z=None)

Returns shapely geometry at plane specified by one non None value of x,y,z.

Parameters:

• x (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

• y (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

• z (float = None) – Position of plane in x direction, only one of x,y,z can be specified to define plane.

Returns:

List of 2D shapes that intersect plane. For more details refer to Shapely’s Documentation.

Return type:

List[shapely.geometry.base.BaseGeometry]

property bounds

Returns bounding box min and max coordinates.

Returns:

Min and max bounds packaged as (minx, miny, minz), (maxx, maxy, maxz).

Return type:

Tuple[float, float, float], Tuple[float, float, float]

__hash__()

Hash method.