Spectrometers with self-compensation of misalignment

An apparatus for analyzing light, comprising:

• an input aperture for receiving light;
• a first set of one or more lenses configured to relay light from the input aperture;
• a prism assembly configured to disperse light from the first set of one or more lenses, the prism assembly including a plurality of prisms that includes a first prism, a second prism that is distinct from the first prism, a third prism that is distinct from the first prism and the second prism, a fourth prism that is distinct from the first prism, the second prism, and the third prism, and a fifth prism that is distinct from the first prism, the second prism, the third prism, and the fourth prism, wherein the first prism is mechanically coupled with the second prism and the second prism is mechanically coupled with the third prism, the third prism is mechanically coupled with the fourth prism, and the fourth prism is mechanically coupled with the fifth prism;
• a second set of one or more lenses configured to focus the dispersed light from the prism assembly;
• and
• an array detector configured for converting the light from the second set of one or more lenses to electrical signals.