Mathematical Utilities

Constants

nm

Type:

float

Value:

1e-9

Nanometer unit (1e-9 meters)

um

Type:

float

Value:

1e-6

Micrometer unit (1e-6 meters)

mm

Type:

float

Value:

1e-3

Millimeter unit (1e-3 meters)

cm

Type:

float

Value:

1e-2

Centimeter unit (1e-2 meters)

m

Type:

float

Value:

1

Meter unit (1 meter)

s

Type:

float

Value:

1

Second unit (1 second)

ms

Type:

float

Value:

1e-3

Millisecond unit (1e-3 seconds)

us

Type:

float

Value:

1e-6

Microsecond unit (1e-6 seconds)

ns

Type:

float

Value:

1e-9

Nanosecond unit (1e-9 seconds)

Functions

wrap_phase(phase_u[, stay_positive])	Wrap phase values to [-π, π] or [0, 2π] range.
fft(arr_c[, normalized, pad_width, padval, ...])	Compute 2D FFT of a complex tensor with optional padding and frequency shifting.
ifft(arr_c[, normalized, pad_width, shift])	Compute 2D inverse FFT of a complex tensor with optional padding and shifting.
calculate_psnr(img1, img2[, data_range])	Calculate Peak Signal-to-Noise Ratio between multi-channel tensors.
calculate_ssim(img1, img2[, window_size, ...])	Calculate Structural Similarity Index between multi-channel tensors.
gaussian_window(size, sigma)	Create normalized 2D Gaussian window.
sc_dft_1d(g, M, delta_x, delta_fx)	Compute 1D scaled DFT for optical field propagation.
sc_idft_1d(G, M, delta_fx, delta_x)	Compute 1D scaled inverse DFT for optical field reconstruction.
sc_dft_2d(u, Mx, My, delta_x, delta_y, ...)	Perform 2D scaled DFT using separable 1D transforms.
sc_idft_2d(U, Mx, My, delta_x, delta_y, ...)	Perform 2D scaled inverse DFT using separable 1D transforms.
compute_scasm_transfer_function(Mx, My, ...)	Compute transfer function for Scaled Angular Spectrum Method propagation.