Luggage and bags: This is not the place to bring your smart new suitcase - your bag is going to get very dusty - but do be sure you have something that seals very well.
Clothing/Shoes/Weather Gear: Desert nights can get very cold - even as summer approaches - so bring something warm but lightweight for chilly evenings and early mornings.
Pack a hat and sunglasses - the sun and glare make both items a necessity.
Good, sturdy shoes make sense.
Lightweight daytime clothes - loose fitting and reasonably modest - Libya may be a nominally secular state but it is a Muslim country and people are traditionally conservative
A neck cooler - the later in the Spring season (or earlier in Autumn) you go, the hotter the days will be. These ties filled with water-absorbing crystals really work at keeping you cool
Toiletries and Medical Supplies: Desert camping means no taps, let alone showers - hand-cleaning gel and moistened wipes are very handy.
Don't forget to bring toilet paper - which should be burned, not buried - the wind is sure to expose buried items sooner or later and the aridity of the region means litter of all sorts may never break down.
30+ sunscreen - and use it!
Basic first-aid stuff - bite/sting cream, antiseptic cream, plasters, broad spectrum antibiotic (see your GP), asprin or paracetamol, rehydration sachets, diarrhoea stopper, these are my essentials
Photo Equipment: Something to seal your camera equipment from flying sand and all-invading dust is essential - you may be unlucky enough to experience the "gbili" - a desert sand-storm. If you do, you'll find sand in everything!
Lots of memory/film and, if your wild camping is extended - extra batteries. You should be able to recharge batteries in the town camps.
Camping/Beach/Outdoor Gear: You may want to bring your own sleeping bag and/or sleeping sheet. We were fine with the thick all-purpose blankets provided.
A towel - there's no calling down to housekeeping here
Miscellaneous: Some good books - nights are long and very quiet and you'll probably wake at dawn too, so there could be lots of hours to fill in
A torch - useful for finding your way around to the back of a private rock at night
A few packets of nuts, dried fruit mix or other snacky thing. It can be a long time between dinner and breakfast and there's no minibar or little shop around the other side of that sand dune
A folding fan takes no room and is very effective , especially in a hot car back seat.
Miscellaneous: Our guide had been travelling in the Akakus mountains since 1992 and never experienced any rain. We had heavy rain for 24 hours in March 2005