Derivation of the DOF equations 3. The new thin lens model (Relative distances between planes are not to scale; rather, planes have been placed for readability of formulas. Diagram drawn for P>1; If P<1, formulas still work, but order of planes changes) ...
9. Once again, we pursue here the simpler form of the survival function valid for large k, and refer to Supplementary Note 2 for the exact derivation valid at all k. The survival function of Eq. (16), SZ(w; θ) = P(∣Z∣ > w; w≥0), for a threshold confinement...
It can be thought of as a generalization of Horn's irradiance equation. Through both numerical simulations and comparison with the intensity values of actual images, our equation is shown to provide better accuracy than Horn's equation. Improvement is most notable for near-focused images where ...
To achieve the converged vortex beams utilizing the proposed reflective metasurface, the theoretical phase compensation φ of each meta-atom should satisfy the following equation32: $$ \varphi = 2\pi \left( {\sqrt {(x^{2} + y^{2} ) + F^{2} } - F} \right){/}\lambda + l \cdot...
photoluminescent decay time τ of the thin-film and taking the ratio to the decay time of a (powdered phosphor) reference of the same material with a known quantum yield ηQY,ref and known decay time τref (see Supplementary Information for full derivation): (3)ηQY=ττrefη...
By fitting equation (2) to the z-scan curve, the imaginary part of Kerr coefficient for the 3 nm gold quantum well is calculated to be −5.1 × 10−10 cm2 W−1. For 15 nm gold film, a very small decrease in the transmission (ΔT=−0.133%) is observed, ...
In general, N values determined from creep rates (equation above) are larger than from magnetization measurements49 and those are larger than determined from transport E(J) curves50 due to the negative curvature of E(J) below the glass-liquid transition. For the considerations below, this ...
1) the thin-lens equation 薄透镜成像公式2) lens equation 透镜的物像公式 1. Derivation of lens equation by using Fermat s principle again; 再用费马原理推导透镜的物像公式3) imaging lenses 成像透镜 1. This paper presented the basic principle of program circuit of the imaging lenses for ...
where β is a geometric factor and in the case of a semi-infinite thin sheet, β = 4.53, which is just π/ln 2 from the derivation of Equation 1 andt, is the simulated thickness of the thin films which was determined using Scout 98™ software [8,23]. ...
The second remark is related to a statement, striking at first glance, in the derivation of Equation (29) and the Marcus formula when two opposite limits (zero and infinity) are taken for that parameter γ. The result (7)–(27) of quantum–classical mechanics, in none of the limiting ...