Though I don't understand what you meant about "viewing angle", I suppose you want to measure the LED. Take a look at Chapter3 Quantifying UV radiation in book Beyond the visible: a handbook of best practice in plant UV photobiology (https://www.researchgate.net/publication/233933324_Beyond_the_visible_a_handbook_of_best_practice_in_plant_UV_photobiology).
Book Beyond the visible: a handbook of best practice in plant UV ...
The best method is the use of a goniometer and measure it. The second best method is looking into the LEDs datasheet. All serious simulation techniques rely on measured space angle distributions.