A METHOD FOR OBTAINING THE SOLUTIONS OF OPTICAL RIB WAVEGUIDES Çağatay ULUIŞIK

With a proper configuration of waveguides, one can perform a wide range of operations like :  Modulation  Switching  Multiplexing  Filtering  Generation of optical waves The field of integrated optics is primarily based on the fact that light can be guided and confined in very thin films (with dimensions  wavelength of light) of transparent materials on suitable substrates. Wavelength of light = 0.8  m  1.7  m Optical frequencies = TeraHz  375 TeraHz The basic component of an integrated optic device is the optical waveguide. Optical waveguides are also used as the connecting wires of optical circuits

n0n0 n1n1 n2n2 (a) n0n0 n1n1 n2n2 (b) n0n0 n1n1 n2n2 n3n3 (c) n0n0 n2n2 n1n1 (d) a) Raised Strip waveguide b) Embedded Strip waveguide c) Strip loaded waveguide d) Rib waveguide THE WAVEGUIDES MOSTLY USED IN INTEGRATED OPTICS

n1n1 n2n2 n3n3 D2D2 D1D1 2h I II III y x a) 1. Reference Problem n1n1 n2n2 n3n3 D2D2 D1D1 2h I II III y x L b) 2. Reference Problem REAL PROBLEM, INVESTIGATED PROBLEM AND REFERENCE PROBLEMS c) Investigated Problem n1n1 n2n2 n3n3 D2D2 D1D1 2h2h I II III y x D W n1n1 SS SS L n2n2 n2n2 d) Real Problem n1n1 n3n3 2h I II III y x D W n1n1 n2n2

SOLUTIONS OF DIELECTRIC SLAB LOADED PLANAR WAVEGUIDES n1n1 n2n2 n3n3 D2D2 D1D1 2h I II III y x n 1 > n 2, n 3

EIGENVALUE EQUATION NORMALIZATION

GRAPHIC USER INTERFACE(GUI)

1. Mod

2. Mod5. Mod 15. Mod – Reel Input Function – The Input Function Computed via Excitation Coefficients

SOLUTIONS OF DIELECTRIC SLAB LOADED and CLOSED (SCREENED) WAVEGUIDES n1n1 n2n2 n3n3 D2D2 D1D1 2h I II III y x n 1 > n 2, n 3 L

EIGENVALUE EQUATION NORMALIZATION :

n=3 ; 3. mod in x m=1; 1. mod in y n=1 ; 1. mod in x m=3; 3. mod in y

SOLUTIONS OF CLOSED RIB WAVEGUIDES n1n1 n2n2 n3n3 D2D2 D1D1 2h I II III y x D W n1n1 SS SS L n2n2 n2n2

COMPUTATIONAL TIMES AND COMPARISON Our solution is a general way and can easily be applied to other waveguides used in integrated optics. The required computational times for different values of n and on different platforms