In the case of two-dimensional gradient index cavities designed by the conformal transformation optics, we propose a boundary integral equation method for the calculation of resonant mode functions by employing a fictitious space which is reciprocally equivalent to the physical space. Using the Green’...
If we assume the inhomogeneity of the continuum to be weak, this assumption is tantamount to viewing the wavelength as being short and, hence, the frequency as being high. In the limit, we let ω→∞, and equation (6.69) becomes (6.70)[∇ψ(x)]2=1υ2(x). In view of expression...
The value of ϕ=π gives the highest frequency resolvable on the mesh, that is, the frequency of the wavelength 2Δx. Amplification factor For a single harmonic component ΕJnejIϕJ, the error Eq. (11.78b), dropping the subscript J, becomes (11.81a)Εn+1−ΕnΔtejIϕ+aΕn2Δ...
The initial procedure was developed based on finding the resonant locations over variable pathlengths in an acoustic tube and calculating their separation distances through the water, yielding the wavelength (λ) measurement. An in-house gain detector was employed to detect the resonant points, ...
the so-calledintegrable systems. The history of integrable PDEs started in the 1960s when Gardner et al.1discovered a method for finding the infinite families of exact solutions for the Korteweg-de Vries equation. Their method termed the inverse scattering transform, can be deemed as the generali...
Wavelength: Focal length: Initial beam radius: (collimated input beam) Beam quality factor: (1 for Gaussian beams) Waist radius: calc Enter input values with units, where appropriate. After you have modified some inputs, click the “calc” button to recalculate the output.The...
the wavelength decreases while the height remains constant with the increase of 𝑐1c1 as in Figure 10b, the wavelength increases while the height remains constant with the increase of 𝜈ν as in Figure 10c, and both wavelength and the height enlarge with the increase of w as in Figure 10...
Johnson and Hur [6] proved that all small-amplitude, periodic, traveling-wave solutions of the Whitham equation are stable if their wavelength is above a critical value and are unstable below the critical value. Sanford et al. [7] numerically corroborated the Johnson and Hur [6] result and ...
wavelength is small compared to the dimensions of the apparatus employed. In the same way, Schrödinger set out to find a wave equation for matter that would give particle-like propagation when the wavelength becomes comparatively small. According to classicalmechanics, if a particle of massmeis...
Wavelength Start today. Try it now AP Calculus AB & BC: Exam Prep 24 chapters | 173 lessons Ch 1. Graph Basics Parts of a Graph | Labels & Examples 6:21 Function Graphs | Types, Equations & Examples 5:06 Ch 2. The Basics of Functions Ch 3. How to Graph Functions Ch 4....