$$ Here \(\Gamma\) is gamma function, \(w_0\) - half width of the peak at \(1/\mathrm{e}^2\) intensity. The primary Fresnel zone is required to be at least 60% clear of any obstruction to ensure the highest performance of wireless link. $$, Peak fluence \(F_0\) - maximal energy density per unit area (at beam center). $$ On the right hand side the calculator displays the vertical separation between the top of the obstruction and the bottom of the Fresnel Zone. peak fluence is obtained as $$F_0 = \mathcal{E}\frac{2^{\frac{1}{n}}n}{\pi w_{0}^{2}\Gamma\left(\frac{1}{n}\right)}. $(function() { Home For beam quality factor \( M^2 \), $$\vartheta = 2M^2\frac{\lambda}{\pi w_0}.$$ Here \( \vartheta_0 \) is the angle of incidence. Energy $$ E = \frac{2\pi\hbar}{T} \Longrightarrow E[\mathrm{eV}] \approx \frac{4.136}{T[\mathrm{fs}]} $$ For each of these potential obstruction points, enter its distance from site 1 and the height of the obstruction above sea level in the bottom left input “spinners” of the calculator. Here \(\Delta t\) is pulse length (FWHM). $.getScript('/s/js/3/uv.js'); Unlike the popular view of a Line of Sight which a clear unobstructed clear straight line. Up to 20 films may be entered. Here \( \vartheta_0 \) is the angle of incidence. Here \(\Delta t\) is pulse length (FWHM). $$ Frequency $$ f = \frac{1}{T} \Longrightarrow f[\mathrm{THz}] = \frac{10^3}{T[\mathrm{fs}]} $$, Wavelength $$ \lambda = \frac{2\pi c}{\omega} \Longrightarrow \lambda[\mathrm{nm}] \approx \frac{1883.652}{\omega[\mathrm{fs^{-1}}]} $$ Phase matching condition: $$ \frac{n_\mathrm{e}(\vartheta,\lambda_3)}{\lambda_3} = \left( \frac{n_\mathrm{e}(\vartheta,\lambda_1)}{\lambda_1} + \frac{n_\mathrm{o}(\lambda_2)}{\lambda_2} \right)\cos\vartheta_0. the ratio of the refractive indices of the two media. $$, Optical path length \( L \), $$ L = \sum_{i=1}^N h_i n_i. $$ For temporally Gaussian pulse, peak intensity is related to peak fluence as $$I_0 =\frac{2F_{0}}{\Delta t}\sqrt{\frac{\ln2}{\pi}}\approx\frac{0.94F_0}{\Delta t}. Fresnel reflection: In optics, the reflection of a portion of incident light at a discrete interface between two media having different refractive indices. The equations assume the interface between the media is flat and that the media are homogeneous. Fresnel Zone Calculator. ' } catch (ignore) { } The Fresnel equations describe what fraction of the light is reflected and what fraction is refracted (i.e., transmitted). pulsAR Radios ' Pulse energy \(\mathcal{E}\) is equal to the integrated fluence \(F\), Phase matching condition: $$ \frac{n_\mathrm{o}(\lambda_3)}{\lambda_3} = \left( \frac{n_\mathrm{e}(\vartheta,\lambda_1)}{\lambda_1} + \frac{n_\mathrm{e}(\vartheta,\lambda_2)}{\lambda_2} \right)\cos\vartheta_0. window.jQuery || document.write('