2003
DOI: 10.1117/12.485390
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Rigorous simulation of exposure over nonplanar wafers

Abstract: Standard simulations of optical projection systems for lithography with scalar or vector methods of Fourier optics make the assumption that the wafer stack consists of homogeneous layers. We introduce a general scheme for the rigorous electromagnetic field (EMF) simulation of lithographic exposures over non-planar wafers. Rigorous EMF simulations are performed with the finite-difference time-domain (FDTD) method. The described method is used to simulate several typical scenarios for lithographic exposures over… Show more

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Cited by 10 publications
(6 citation statements)
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“…However, we can expect our model to predict the dominating effects of the wafer topography induced line scattering on the dose, linewidth and placement of features. A fully rigorous model of wafer topography induced scattering requires the simulation and superposition of light scattering effects for many directions of plane waves emerging from the exit pupil of the lens [4]. Such a modeling approach is very time and memory consuming -with typical computing times between several minutes and hours on a standard PC, whereas our simplified model only requires rigorous EMF simulation for two incidence directions.…”
Section: Simulation Procedures and Model Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…However, we can expect our model to predict the dominating effects of the wafer topography induced line scattering on the dose, linewidth and placement of features. A fully rigorous model of wafer topography induced scattering requires the simulation and superposition of light scattering effects for many directions of plane waves emerging from the exit pupil of the lens [4]. Such a modeling approach is very time and memory consuming -with typical computing times between several minutes and hours on a standard PC, whereas our simplified model only requires rigorous EMF simulation for two incidence directions.…”
Section: Simulation Procedures and Model Parametersmentioning
confidence: 99%
“…The exposure over patterned wafers can result in wafer topography effects such as reflective notching [3], resist footing [4], reduced efficiency of the bottom antireflective coating (BARC), and other exposure artifacts [5]. Nevertheless, the rigorous EMF modeling of light diffraction from topographic features on the wafer has attracted only little interest compared to the EMF mask modeling.…”
Section: Introductionmentioning
confidence: 98%
“…and a simplified form would be I = (1-w 1 -w 2 )I 0 +w 1 I 1 +w 2 I 2 (4) where I 2 = <E 2 , E 2 * >.…”
Section: Fast Modelingmentioning
confidence: 99%
“…As a result, existing lithography modeling tools dedicated for OPC application cannot model the thin film topography effect mentioned above. The available tools for photolithography simulation with wafer topography, such as Synopsys' Sentaurus Lithography, adopt a rigorous approach that involves solving the Maxwell equations ( [4]). Although useful for detailed parameter studies and process development, such tools are unfit for mask synthesis applications due to their prohibitively long runtime.…”
Section: Introductionmentioning
confidence: 99%
“…In this model, the intensity within the resist was determined under the assumption that the layer on the stack was homogeneous and parallel. The other model is the rigorous diffraction model [2]. In this model, incident light coming into the resist is simulated under the conditions that it is in a cone whose incident angle is that of numerical aperture and rigorously diffracted.…”
Section: Resist Footing Simulationmentioning
confidence: 99%