A.P.T. was responsible for derivations. R.A.T. was responsible for simulations. Corresponding authors Correspondence to R. A. Tinguely or Andrew P. Turner. Ethics declarations Competing Interests The authors declare no competing interests. Additional information Publisher’s note Springer Nature ...
In the orthogonal case, the auto-correlation of the reverberant field along the x-axis (or y-axis) is given by (complete theoretical derivations are explained in Supplementary Methods): $$B_{V_zV_z}(\Delta \varepsilon _x) = \frac{\beta }{2}\left[ {j_0\left( {k\Delta \var...
For convenience, derivations for all of the examples of measures that follow are made from a change-space description of the change information. All of the examples are independent of rotations or reflections in change space, and this fact implies that they are unchanged under unitary transformation...
光学- Hanbook Optical Systems.pdf,6 Volume Set Handbook of Optical Systems S AV E W I T H YOU R CON T IN U AT ION OR DE R ! T H E Re f er en c e on Op ti ca l De s ig n gives a unique overview for both newcomers and professionals in academia and industr
whereFis defined as the scattering potential energy at the 3D positionr, andvis the whole 3D volume range. The detailed derivations and discretized version are illustrated in Supplementary Note1. Then, an ADMM framework25is used to iteratively update the sample information and the scattered photons...
Using Fisher information and the Cramér-Rao lower bound, we analyse fundamental precision limits in the determination of spectral parameters in inelastic optical scattering. General analytic formulae are derived which account for the instrument response
this method is used for three-mirror systems with the aperture stop on the secondary mirror, and initial structure derivations of the center of the aperture for a small F-number, a large field of view and no higher-order aspheres and a software optimization design process have not been repor...
(e.g., scintillometers [15], differential image motion monitor (DIMM) sensors [16], etc.) are based on analytical expressions derived from Kolmogorov turbulence theory, and, for this reason, are restrained by the theoretical assumptions and simplifications made in the derivations of these ...
Conducting polymers are simple to make using chemical or electrochemical methods, and it is simple to change their molecular chain structure via copolymerization or structural derivations. Additionally, conducting polymers have outstanding mechanical qualities that make it simple to fabricate sensors. The ...
The mean difference in the Na measurement between ISE and ICP-OES was within ±2 standard derivations (SD) (Figure 1B). There was no significant difference between the measurement of Na between the ISE and ICP-OES (p = 0.20, Figure 1C). Maternal age (years) Length of gestation (weeks...