2010
DOI: 10.1063/1.3436586
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Analysis of the stress distribution in the nonuniformly bent GaN thin film grown on a sapphire substrate

Abstract: We analyze the stress distribution in the nonuniformly bent GaN epilayers grown on a sapphire substrate. By using theoretical analysis combined with an analytical formula describing the realistic shape for the wafer bending of GaN epiwafers, we examine the effect of nonuniformity in the wafer bending on the stress-value variation over the entire wafer. We show that the stress on the GaN thin film can deviate by ∼1 MPa from the value obtained by the simple Stoney’s formula that is typically used for the uniform… Show more

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Cited by 12 publications
(5 citation statements)
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“…Samples A and B were chosen from the edge and center of the wafer and their local dot-like emission densities were approximately 10 4 and 10 2 cm −2 , respectively. It is generally believed that the LED device from the edge of a wafer has relatively poorer performance than the one from the center due to problems related to the wafer bowing during the epitaxial growth [9], [10]. The EQE is obtained by dividing the integrated EL intensity by the injection current.…”
Section: Resultsmentioning
confidence: 99%
“…Samples A and B were chosen from the edge and center of the wafer and their local dot-like emission densities were approximately 10 4 and 10 2 cm −2 , respectively. It is generally believed that the LED device from the edge of a wafer has relatively poorer performance than the one from the center due to problems related to the wafer bowing during the epitaxial growth [9], [10]. The EQE is obtained by dividing the integrated EL intensity by the injection current.…”
Section: Resultsmentioning
confidence: 99%
“…1(a) were included in the simulation, although the FEM model did not extend through the full thickness of the sapphire substrate. Detailed analysis of the wafer bowing predicts that a bending-free plane is at a depth of $70 lm; 26 we therefore included 80 lm thick sapphire in order to define a practical boundary condition. Pillar sidewalls were left free from constraints.…”
Section: Methodsmentioning
confidence: 99%
“…As a result, ∼170 μm deviation can be caused for 10 μm thickness of GaN on a 4 in. wafer. , Imprinting of nanostructures on such an uneven substrate is quite difficult due to the irregular contact of mold and substrate, and large defects that are comparable with the size of LED chips (as shown in Figure S3a in Supporting Information) influence the chip performance. After dicing the GaN wafer to chips in the follow-up process, these square millimeter-sized LED chips with no PhC structures will have low light extraction efficiency as shown in Figure .…”
Section: Results and Discussionmentioning
confidence: 99%