SAM_Dqt {AIUQ}R Documentation

Compute dynamic image structure function

Description

Compute dynamic image structure function(Dqt) using Fourier transformed intensity profile and a selection of wave number(q) range.

Usage

SAM_Dqt(len_q, index_q, len_t, I_q_matrix, q_ori_ring_loc_unique_index, sz)

Arguments

len_q

number of wave number

index_q

a vector of selected wave number index

len_t

number of time steps

I_q_matrix

intensity profile in reciprocal space (after Fourier transformation)

q_ori_ring_loc_unique_index

index for wave vector that give unique frequency

sz

frame size of intensity profile

Details

Dynamic image structure function(Dqt) can be obtained from ensemble average of absolute values squared of Four transformed intensity difference:

D(q,\Delta t) = \langle |\Delta \hat{I}(q,t,\Delta t)|^2\rangle

See 'References'.

Value

Matrix of dynamic image structure with dimension len_q by len_t-1.

Author(s)

Yue He [aut], Xubo Liu [aut], Mengyang Gu [aut, cre]

References

Gu, M., He, Y., Liu, X., & Luo, Y. (2023). Ab initio uncertainty quantification in scattering analysis of microscopy. arXiv preprint arXiv:2309.02468.

Gu, M., Luo, Y., He, Y., Helgeson, M. E., & Valentine, M. T. (2021). Uncertainty quantification and estimation in differential dynamic microscopy. Physical Review E, 104(3), 034610.

Cerbino, R., & Trappe, V. (2008). Differential dynamic microscopy: probing wave vector dependent dynamics with a microscope. Physical review letters, 100(18), 188102.


[Package AIUQ version 0.5.2 Index]