The approximate ABCD matrix for a parabolic lens of revolution and its application in calculating the coupling efficiency

Investigation of coupling of a laser diode to photonic crystal fiber via hyperbolic microlens on the fiber tip by ABCD matrix formalism

“…For a highly efficient LD, the use of microlensed fibers is very common in practical semiconductor laser packages. [3][4][5][6][7][8][9][10][11][12][13][14] These microlenses may have hyperbolic, hemispherical, parabolic, and upside-down tapered surfaces to modulate the spot size of LD light incident on them and properly match and couple with SMF spot size. Also, for a more compact design of optical components and modules, the fabrication and design of fiber microlens have emerged as the extremely attractive state of the art.…”

“…In this regard, a hyperbolic microlens (HML) on the tip of an SMF has been shown to be most effective in comparison with other types of conventional microlenses with respect to large light gathering efficiency, absence of spherical aberration, [3][4][5][6][7][8][9][10][11][12][13][14] and other factors. According to geometrical optics, transformation of the incident spherical wave into a plane wave via HML is possible by avoiding spherical aberrations.…”

Cast terahertz lenses made of caramelized sucrose

“…We used the matrix of refraction at a parabolic interference separating the two media with different refractive indices. 12 Since the parabola with a vertex at (0,0) can be approximated by (x ¼ y 2 ∕2R), we can use the simplified lens maker's equation [f ¼ R∕ðn − 1Þ], 13 substituting R ¼ p. Initially, we designed a high-density polyethylene planoconvex lens (refractive index n ¼ 1.54) given as E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 0 1 ; 3 2 6 ; 2 5 8…”