In speckle suppression research, screens play a critical role in formation of speckle. This paper examines screen speckle using diverse light sources and screens of varying roughness. Our findings demonstrate that speckle suppression by screens is the key reason wavelength and angle diversities are not mutually independent in existing literature. Different from the theory, our experiments reveal that increased screen roughness can effectively suppress speckle for narrow-spectrum blending light source. This method also enhances the effectiveness of speckle suppression elements. These results contribute to refining current speckle evaluation models and aid in designing screens that yield lower speckle contrast.