The U.S. Supreme Court will hear arguments next week on the most divisive immigration law in recent memory. Arizona's Legislature passed SB 1070 two years ago, but much of it has been put on hold pending the court's decision.

Still, supporters say the law has achieved one of its stated goals: Thousands of illegal immigrants have self-deported, leaving the state on their own. The real reason — and consequence — of such a demographic shift may be more complex, however.

Jossie was one of those illegal workers who decided to leave. When police cars drove behind her in traffic, she says, she would start shaking and wouldn't be able to breathe.

Jossie is still afraid of getting deported, so she asked that her last name be withheld. The summer that SB 1070 became law, she left the Phoenix area with her husband, two children and a cockatoo, Bernie.