Solitons in optical fibers. ultra-short solitons have been generated in glass fibers at wavelength in the anomalous dispersion regions (λ> 1.3 um), where gvd is negative. they were first observed in a 700-m single mode silica glass fiber using pulses from a mode-locked laser operating at a wavelength 1-1.55 um. the pulse shape closely approximated a hyperbolic-secant function with to-4 ps (corresponding to τfwhmf 1.76* τ0-7 ps). at this wavelength: dispersion ps2/km, refractive index n-1.45 and the nonlinear coefficient n2-3 1 9#1 0-20 m2/w calculate a) the peak pulse amplitude ao that satisfy the soliton condition discussed in class; b) the soliton period zp

Two rigid transformations are used to map δhjk to δlmn. the first is a translation of vertex h to vertex l. what is the second transformation? a reflection across the line containing hk a rotation about point h a reflection across the line containing hj a rotation about point k

Amajor difference radio waves, visible light, and gamma rays is the of the photons, which results in different photon frequencies and wavelengths

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.