By Xun Li
With a transparent software concentration, this e-book explores optoelectronic gadget layout and modeling via physics types and systematic numerical research. through acquiring strategies at once from the physics-based governing equations via numerical concepts, the writer exhibits the best way to increase new units and the way to augment the functionality of latest units. Semiconductor-based optoelectronic units comparable to semiconductor laser diodes, electroabsorption modulators, semiconductor optical amplifiers, superluminescent mild emitting diodes and their integrations are all coated. together with step by step useful layout and simulation examples including specified numerical algorithms, this ebook presents researchers, gadget designers and graduate scholars in optoelectronics with the numerical thoughts to procure options for his or her personal buildings.
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Additional resources for Optoelectronic Devices: Design, Modeling, and Simulation
This is a natural consequence of a host medium with a limited response time: the induced polarization appears to have a memory as the host medium always responds to a fastvarying excitation field with a certain delay. To compute such delayed response, we have to count in the whole history by summing all the delayed components at any time instant, which gives us the convolution terms in the original differential equations. In principle, this approach can be numerically implemented through a digital filtering method in the time domain , yet its stability and convergence have not been proved, not to mention its poor computational efficiency.
2. A horn waveguide structure in which the optical wave is confined only in the y direction and is propagating along both z and x directions. 52) with φ(y) indicating the optical field distribution (or the 1D optical mode) along y in 1/m1/2 , and e(x, z, t) the envelope function in V/m1/2 . 32) as well. 55) ∂y 2 subject to the normalization condition φ 2 (y)dy = 1. 56), y indicates the entire vertical range along y in m where the 1D optical mode spreads. Note that n(y, ω0 ) denotes the dimensionless background or “cold cavity” material refractive index distribution along y.
M − 1)/2 for odd M, respectively. 70a) can also be written as βr = with m = 1, 2, 3, . . , M − 1. 70b) 23 Optical models Therefore, in periodically corrugated waveguide structures, we have to retain both forward and backward propagating waves, as well as all the radiation waves that satisfy the phase matching conditions, in decomposing the optical field for deriving the reduced wave equation in both time and space domains. 69) have been used while ∂ 2 ef /∂z2 and ∂ 2 eb /∂z2 have been dropped under the slow-varying envelope assumption.