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.